state unknown | questions unknown |
|---|---|
"Problem Statement:\nIn determining the order for reactant A in a certain reaction, the concentrations of all other reactants are held constant while the concentration of A is tripled from one experiment to another. The reaction rate is found to triple. The appropriate exponent for A in the rate law is" | {
"stem_1555": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3",
"opt_B": "5",
"opt_C": "1/3",
"opt_D": "-2",
"opt_E": "4",
"opt_F": "0",
"opt_G": "1/2",
"opt_H": "2",
"opt_I"... |
"Problem Statement:\nThe simplest alkene has" | {
"stem_1556": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "cis-trans isomers",
"opt_B": "at least four sigma bonds",
"opt_C": "no sigma bonds",
"opt_D": "a trigonal planar configuration",
"opt_E": ... |
"Problem Statement:\nThe mass density of water vapour at $327.6 \\mathrm{~atm}$ and $776.4 \\mathrm{~K}$ is $133.2 \\mathrm{~kg} \\mathrm{~m}^{-3}$. Given that for water $T_{\\mathrm{c}}=647.4 \\mathrm{~K}, p_{\\mathrm{c}}=218.3 \\mathrm{~atm}, a=5.464 \\mathrm{dm}^6 \\mathrm{~atm} \\mathrm{~mol}^{-2}$, $b=0.03049 \\ma... | {
"stem_1557": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.9283",
"opt_B": "0.6889",
"opt_C": "0.5594",
"opt_D": "0.8457",
"opt_E": "0.7671",
"opt_F": "0.7846",
"opt_G": "0.6523",
... |
"Problem Statement:\nIn a bridge hand of 13 cards, what is the probability of (a) having neither an ace nor a king, (b) having no ace or one ace and exactly four kings. Assume that the random variables X and Y represent the number of aces and kings respectively. Also assume that (^52 _13) possible bridge hands are equa... | {
"stem_1558": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.0810, 0.0020",
"opt_B": "0.0799, 0.0019",
"opt_C": "0.0830, 0.0016",
"opt_D": "0.0808, 0.0023",
"opt_E": "0.0820, 0.0021",
"opt_F"... |
"Problem Statement:\nFor PCI_5\\rightleftarrows PCl_3 + CI_2 , K = 33.3 at 760°K . Suppose 1.00g of PCI_5is injected into a 500-ml evacuated flask at 760°K and it is allowed to come into equilibrium. What percent of the PCI_5 will decompose?M.W. of PCI_5 = 208.235." | {
"stem_1559": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25 % dissociated",
"opt_B": "80 % dissociated",
"opt_C": "40 % dissociated",
"opt_D": "70 % dissociated",
"opt_E": "10 % dissociated",
... |
"Problem Statement:\nN^13 decays by \\beta^+ emission. The maximum kinetic energy of the \\beta^+ is 1.19MeV. What is thenuclidicmass of N^13 ?" | {
"stem_1560": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "13.00335amu",
"opt_B": "13.00782amu",
"opt_C": "13.00123amu",
"opt_D": "13.00000amu",
"opt_E": "13.00445amu",
"opt_F": "13.00678amu"... |
"Problem Statement:\nA stream of air is flowing over a flat plate with a velocity of 33 ft/sec, at atmospheric pressure and 60°F. Calculate the boundary layer thickness on the plate at 4 in. from the leading edge." | {
"stem_1561": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.150 in",
"opt_B": "1.25 in",
"opt_C": "0.045 in",
"opt_D": "0.5 in",
"opt_E": "0.225 in",
"opt_F": "68,750 in",
"opt_G": "4.... |
"Problem Statement:\nHow many calories of heat must be added to 3.0 liters of water to raise the temperature of the water from 20°C to 80°C?" | {
"stem_1562": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "360 Kcal",
"opt_B": "420 Kcal",
"opt_C": "90 Kcal",
"opt_D": "180 Kcal",
"opt_E": "120 Kcal",
"opt_F": "210 Kcal",
"opt_G": "2... |
"Problem Statement:\nA six-pole generator has a lap winding. If there are 300 inductorson the surface of the armature, and if the flux is 900,000 lines per pole, what will be the voltage between the brushesat a speed of 1,500 revolutions per minute? (b) What voltage will the generator in part (a) develop ifthe windingb... | {
"stem_1563": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "70.5 volts and 200.5 volts",
"opt_B": "67.5 volts and 205.5 volts",
"opt_C": "62.5 volts and 207.5 volts",
"opt_D": "80.5 volts and 210.5 volts"... |
"Problem Statement:\nA common method for commercially peeling potatoes is to soakthem for 1 - 5 minutes in a 10 - 20% solution ofNaOH (molecularweight = 40.0 g/mole) at 60 - 88°C, and to spray offthe peel once the potatoes are removed from solution. As aneconomy measure, a manufacturer titrates theNaOH solutionwith sta... | {
"stem_1564": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.56 M",
"opt_B": "0.32 M",
"opt_C": "0.16 M",
"opt_D": "1.28 M",
"opt_E": "5.12 M",
"opt_F": "2.00 M",
"opt_G": "4.00 M",
... |
"Problem Statement:\nGiven the balanced equation 4NH_3 (g) + 5O_2 (g) \\rightarrow 4NO (g) + 6H_2 0 (g), how many grams of NH_3 will be required to react with 80 g of O_2 ?" | {
"stem_1565": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "60 g",
"opt_B": "72 g",
"opt_C": "32 g",
"opt_D": "56 g",
"opt_E": "40 g",
"opt_F": "24 g",
"opt_G": "34 g",
"opt_H": "4... |
"Problem Statement:\n0.14 moles H_2/mole fuel 0.27 moles CO/mole fuel 0.03 moles CH_4/mole fuel 0.006 moles O_2/mole fuel 0.509 moles N_2/mole fuel 0.045 moles CO_2/mole fuel Determine the air-fuel ratio if producer gas from this sample isburned with 50 percent excess air." | {
"stem_1566": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.17lbmair/lbmfuel",
"opt_B": "1.233lbmair/lbmfuel",
"opt_C": "2.5 lbm air/lbm fuel",
"opt_D": "1.95 lbm air/lbm fuel",
"opt_E": "1.75 lbm... |
"Problem Statement:\nA chemist wants the percent dissociation of HC_2H_3O_2 to be 1 %. If theK_dissof HC_2H_3O_2 is 1.8 × 10^-5, what con-centration of HC_2H_3O_2 is required?" | {
"stem_1567": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.8 × 10^-2 M",
"opt_B": "1.8 × 10^-5 M",
"opt_C": "1.78 × 10^-3 M",
"opt_D": "1.76 × 10^-1 M",
"opt_E": "99%",
"opt_F": "2.5 × 10^-... |
"Problem Statement:\n(a) Determine the bandwidth occupied by a frequency modulated waveform which results from modulation of a carrier signal by a sinusoidal modulating signal of frequency 3 kHz. The frequency deviation of the modulated signal was found to be equal to 5 kHz. (b) What would be the new bandwidth if the f... | {
"stem_1568": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10 kHz and 7 kHz",
"opt_B": "22 kHz and 17 kHz",
"opt_C": "20 kHz and 15 kHz",
"opt_D": "18 kHz and 14 kHz",
"opt_E": "26 kHz and 20 kHz",... |
"Problem Statement:\nIt has been suggested that a 10° rise in temperature results in a twofold response in the rate of a chemical reaction. What is the implied activation energy at 27°C? ; at 1000°C?" | {
"stem_1569": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "16.4 k cal / mole and 240 k cal/mole",
"opt_B": "14.9 k cal / mole and 230 k cal/mole",
"opt_C": "17.0 k cal / mole and 245 k cal/mole",
"opt_D"... |
"Problem Statement:\nWater film boiling occurs on top of a horizontal plate. The wateris at a pressure of 1 atm. and the surface temperature ofthe plate is 554°C. Calculate the heat flux given off by waterassuming a characteristic length (L_c) of 1 cm." | {
"stem_1570": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "70,830 W/m^2 or 7.083 W/cm^2",
"opt_B": "65,830 W/m^2 or 6.583 W/cm^2",
"opt_C": "45,830 W/m^2 or 4.583 W/cm^2",
"opt_D": "80,000 W/m^2 or 8.000... |
"Problem Statement:\nA reacts with B in a one-step reaction to give C. The rate constant for the reaction is 2.0 × 10^-3 M^-1 sec^-1. If 0.50 mole of A and 0.30 mole of B are placed in a 0.50 liter-box, what is the initial rate of the reaction?" | {
"stem_1571": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.60 × 10^-3 M/sec",
"opt_B": "0.80× 10^-3 M/sec",
"opt_C": "0.40 × 10^-3 M/sec",
"opt_D": "2.40 × 10^-3 M/sec",
"opt_E": "0.30 × 10^-3 M/... |
"Problem Statement:\nLength of the cable is doubled, its capacitance C will be" | {
"stem_1572": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "remains the same then doubled.",
"opt_B": "unchanged.",
"opt_C": "one-fourth.",
"opt_D": "doubled.",
"opt_E": "halved then doubled.",
... |
"Problem Statement:\nCooling water at 60°F flows through a condenser tube of 1 in. O.D. and 0.90 I.D. Steam at 3 in. Hg absolute pressure is condensed on the outer side of the tube. The thermal conductivity of the material of the tube is 70 Btu/hr-ft-°F and the inside and outside convective heat transfer coefficients a... | {
"stem_1573": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.78lb_m/hr-ft",
"opt_B": "3.28 lbm/hr-ft",
"opt_C": "2.58lb_m/hr-ft",
"opt_D": "2.88lb_m/hr-ft",
"opt_E": "2.38 lbm/hr-ft",
"opt_F"... |
"Problem Statement:\n2.000picogram(pg) of ^33P decays by (^0 _-1)\\beta emission to 0.250 pg in 75.9 days. Find the half-life of ^33P." | {
"stem_1574": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25.3 days",
"opt_B": "40 days",
"opt_C": "45 days",
"opt_D": "60 days",
"opt_E": "50 days",
"opt_F": "30 days",
"opt_G": "20 d... |
"Problem Statement:\nJohn Dalton found water to be 12.5% hydrogen by weight. Calculate the atomic weight of oxygen if Dalton assumed water contained two hydrogen atoms for every three oxygen atoms. Assume 1 H atom weighs 1amu." | {
"stem_1575": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.3amu",
"opt_B": "10.0amu",
"opt_C": "9.5amu",
"opt_D": "3.5amu",
"opt_E": "5.2amu",
"opt_F": "6.7amu",
"opt_G": "4.67amu",
... |
"Problem Statement:\nA 25-hp 240-volt series motor takes 93 amp when driving its ratedload at 800 rpm. The armature resistance is 0.12 ohm, andthe series-field resistance is 0.08 ohm. At what speed willthe motor operate if the load is partially removed so that themotor takes 31 amp ? Assume that the flux is reduced by ... | {
"stem_1576": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2,100 rpm",
"opt_B": "950 rpm",
"opt_C": "1,400 rpm",
"opt_D": "1,800 rpm",
"opt_E": "800 rpm",
"opt_F": "1,550 rpm",
"opt_G":... |
"Problem Statement:\nA model pump has an impeller of 6 in. diameter. When runningat 1200 rpm, the pump delivers 2cfsagainst a head of16 ft. A similar pump is required to discharge 40cfsat 600 rpm.What should be the diameter of this pump, and whathead will it develop?" | {
"stem_1577": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Diameter: 1.8 ft, Head: 36 ft",
"opt_B": "Diameter: 2.2 ft, Head: 30 ft",
"opt_C": "Diameter: 1.71 ft, Head: 46.8 ft",
"opt_D": "Diameter: 2.5 f... |
"Problem Statement:\nThe relative humidity and temperature of an air flowing over awater surface with an average velocity of 5 ft/sec are respectively42 percent and 75°F. The average temperature ofthe water surface is 65°F. If the length of the water surfaceparallel to the direction of the air flow is 7 inches, determi... | {
"stem_1578": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.0494 lb/hr.ft^2",
"opt_B": "0.0511 lb/hr.ft^2",
"opt_C": "0.0594 lb/hr.ft^2",
"opt_D": "0.0544 lb/hr.ft^2",
"opt_E": "0.0454 lb/hr.ft^2"... |
"Problem Statement:\nCompute the rate of heat loss per unit area from a circular hotair duct (a) by convection and (b) by simultaneous convectionand radiation. Assume the duct has a diameter of 3 ft. and is made of a polished metal (emissivity \\epsilon = 0.1). The surfacetemperature of the metal is 150°F, and the ambi... | {
"stem_1579": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "82.3 Btu/ft^2-hr, 92.0 Btu/ft^2-hr, 185.4 Btu/ft^2-hr",
"opt_B": "84.6 Btu/ft^2-hr, 95.2 Btu/ft^2-hr, 190.9 Btu/ft^2-hr",
"opt_C": "65.9 Btu/ft^2-hr, ... |
"Problem Statement:\nA sample of $255 \\mathrm{mg}$ of neon occupies $3.00 \\mathrm{dm}^3$ at $122 \\mathrm{K}$. Use the perfect gas law to calculate the pressure of the gas." | {
"stem_1580": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$4.20 \\times 10^{-2}$ $\\text{atm}$",
"opt_B": "$5.55 \\times 10^{-2}$ $\\text{atm}$",
"opt_C": "$6.33 \\times 10^{-2}$ $\\text{atm}$",
"opt_D"... |
"Problem Statement:\nPredict the number of lines in the EPR spectrum of a solution of dimethylnitroxide (CH3)2NO• assuming the lines do not overlap." | {
"stem_1581": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15",
"opt_B": "24",
"opt_C": "21",
"opt_D": "3",
"opt_E": "5",
"opt_F": "6",
"opt_G": "10",
"opt_H": "9",
"opt_I":... |
"Problem Statement:\nCompute the rate of heat transfer by natural convection from thesurface of a horizontal, 7 in. square, plate at a temperatureof 300°F. The ambient air temperature is 80°F. EMPIRICAL EQUATIONS FOR NATURAL CONVECTION FROM HORIZONTAL PLATES TO ROOM TEMPERATURE AIR AT ATMOSPMERIC PRESSURE Configuration... | {
"stem_1582": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.88 Btu/hr",
"opt_B": "13.88 Btu/hr",
"opt_C": "10.88 Btu/hr",
"opt_D": "7.88 Btu/hr",
"opt_E": "8.88 Btu/hr",
"opt_F": "14.88 Btu/... |
"Problem Statement:\na)It is desired to make nylon (66) withM_n_ = 20000. Assuming that the reaction goes to completion, find [{F_A (0)} / {F_B (0)}]. b)What weight fraction of the product will have a degree of polymerization of 200." | {
"stem_1583": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.9887, 0.00366",
"opt_B": "0.9500, 0.00095",
"opt_C": "0.9765, 0.00123",
"opt_D": "0.9912, 0.00234",
"opt_E": "1.0000, 0.00500",
"o... |
"Problem Statement:\nThe air in a tank has a pressure of 640 mm of Hg at 23°C. When placed in sunlight the temperature rose to 48°C. What was the pressure in the tank?" | {
"stem_1585": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "694 mm of Hg",
"opt_B": "720 mm of Hg",
"opt_C": "712 mm of Hg",
"opt_D": "680 mm of Hg",
"opt_E": "760 mm of Hg",
"opt_F": "665 mm ... |
"Problem Statement:\n________ is the most detrimental impurity in the magnetic materials" | {
"stem_1586": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Nitrogen.",
"opt_B": "Silicon.",
"opt_C": "Phosphorus.",
"opt_D": "Hydrogen.",
"opt_E": "Chromium.",
"opt_F": "Iron.",
"opt_G"... |
"Problem Statement:\nThe wavelengths of lines in emission and absorption spectra are measured by a spectroscope which is calibrated from the sodium - D - lines. These are two of the lines in the yellow emission from heated sodium metal. Calculate the energy of the electronic transition associated with one of the sodium... | {
"stem_1587": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.36 × 10^-12 erg",
"opt_B": "7.36 × 10^-13 erg",
"opt_C": "1.36 × 10^-12 erg",
"opt_D": "2.36 × 10- 12erg",
"opt_E": "3.36 × 10- 12erg",
... |
"Problem Statement:\nOil of viscosity 0.2248lbm/ft-sec. is pumped through a horizontalpipe of 4-in. inside diameter. If there is a pressure dropof 24,000lbf/ft^2 per mile of flow, calculate the average velocityof flow and the power necessary to maintain the oil flow. Also calculate the velocity and shear stress at (3/2... | {
"stem_1588": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Average velocity of flow: 2.26 ft/s, Power consumed: 8.61 hp/mile, Velocity at 3/2 in. from center: 1.98 ft/s, Shear stress at 3/2 in. from center: 0.284 lb/ft^2"... |
"Problem Statement:\nThe following data are for a three-phase 13,800-V wye-connected60,000-kVA 60-Hz synchronous generator: P = 2; stator slots = 36, stator coils = 36, turns in each stator coil= 2 Stator coil pitch = (2/3), rotor slots = 28 Spacing between rotor slots = [1 / (37)] of circumferenceRotor coils = 14 Turn... | {
"stem_1589": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.36 H",
"opt_B": "1.66 H",
"opt_C": "1.86 H",
"opt_D": "1.56 H",
"opt_E": "1.46 H",
"opt_F": "2.06 H",
"opt_G": "1.26 H",
... |
"Problem Statement:\nHeat is transferred to steam at 50 lbf in a cylinder having a volume of 2 ft^3. The temperature of steam rises from 300°F to 500°F while the pressure remains constant. Calculate (a) the heat transfer, (b) the work done, and (c) the change in internal energy for the above process. Assume the system ... | {
"stem_1590": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 22.7 Btu, (b) 5.34 Btu, (c) 17.4 Btu",
"opt_B": "(a) 19.3 Btu, (b) 4.12 Btu, (c) 15.8 Btu",
"opt_C": "(a) 18.0 Btu, (b) 6.00 Btu, (c) 14.5 Btu",
... |
"Problem Statement:\nHow many alpha particles per second would be emitted from 4 × 10-^12 g of ^210Po (t_(1/2) = 138 days)?" | {
"stem_1591": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "300 nuclei / sec",
"opt_B": "500 nuclei / sec",
"opt_C": "1000 nuclei / sec",
"opt_D": "750 nuclei / sec",
"opt_E": "800 nuclei / sec",
... |
"Problem Statement:\nAn electromagnetic wave of40KHzis radiated by an antenna . Find the time taken by this wave to reach a point 60 km away." | {
"stem_1592": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.3 msec",
"opt_B": "0.8 msec",
"opt_C": "0.6 msec",
"opt_D": "0.25 msec",
"opt_E": "0.1 msec",
"opt_F": "0.2 msec",
"opt_G": ... |
"Problem Statement:\nWhat are the wavelengths of (a) a photon, and (b) an, elec-tron, each having kinetic energy of 1eV?" | {
"stem_1593": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Photon wavelength = 1300 nm, Electron wavelength = 1.300 nm",
"opt_B": "Photon wavelength = 1200 nm, Electron wavelength = 1.200 nm",
"opt_C": "Photon... |
"Problem Statement:\nThe average concentration of particulate lead in a city with highly polluted air is 5\\mug/m^3. If an adult respires 8500 liters of air daily and if 50 per cent of the particles below 1\\mumin size are retained in the lungs, calculate how much lead is absorbed in the lungs each day. Of the particu-... | {
"stem_1594": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.4 μg",
"opt_B": "25.0 μg",
"opt_C": "30.0 μg",
"opt_D": "8.5\\mug",
"opt_E": "10.6 μg",
"opt_F": "21.3 μg",
"opt_G": "42.5\\... |
"Problem Statement:\nA wide plate of length 3.5 in. has air at 1 atm. and 180°F moving parallel to it at a velocity of 190 ft/sec. Determine the average heat flux if the surface of the plate is at a constant temperature of 110°F." | {
"stem_1595": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1223 Btu/hr-ft^2",
"opt_B": "980 Btu/hr-ft^2",
"opt_C": "75 Btu/hr-ft^2",
"opt_D": "2200 Btu/hr-ft^2",
"opt_E": "500 Btu/hr-ft^2",
"... |
"Problem Statement:\nIron reacts with oxygen at high temperatures (T > 910°C) withthe following reaction: Fe(\\gamma) + (1/2)O_2(g) \\rightleftharpoonsFeO(s) Calculate the entropy of this reaction at 1 atm. pressure and 1,200°C.Use the following data: Data (A) reaction @ 25°C \\leq T < 760°C: Fe(\\alpha)_1 + (1/2)O_2(g... | {
"stem_1596": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 16.14 cal/deg",
"opt_B": "- 17.05 cal/deg",
"opt_C": "- 16.33 cal/deg",
"opt_D": "- 14.75 cal/deg",
"opt_E": "- 15.30 cal/deg",
"o... |
"Problem Statement:\nAir at a velocity of 10 ft/sec flows through a wide duct with an innerwall temperature of 1,200°F. A thermocouple of diameter1/25 in and emissivity 0.5, is placed in the duct, normalto the airstream. The thermocouple indicates a temperatureof 1,400°F Find the true value of the air temperature. For ... | {
"stem_1597": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1,522°F and 1,400°F",
"opt_B": "1,450°F and 1,400°F",
"opt_C": "1,500°F and 1,400°F",
"opt_D": "1,550°F and 1,389°F",
"opt_E": "1,522°F an... |
"Problem Statement:\nThe molecule with a tetrahedral shape is" | {
"stem_1598": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "SO2",
"opt_B": "BeCl2",
"opt_C": "SF6",
"opt_D": "CBr4",
"opt_E": "PCl4F",
"opt_F": "NH3",
"opt_G": "BF3",
"opt_H": "CO2... |
"Problem Statement:\nWater at 70°F is flowing through an R.C.C. pipe, at a volumetric flow rate of 15 ft^3/s. Determine the diameter of the pipe, if the pressure loss must not exceed 4.8 ft. in a length of 1000 ft." | {
"stem_1599": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.35 ft",
"opt_B": "1.97 ft",
"opt_C": "2.20 ft",
"opt_D": "2.04 ft",
"opt_E": "1.75 ft",
"opt_F": "1.65 ft",
"opt_G": "2.5 ft... |
"Problem Statement:\nCalculate the solubility product constant of pure PbSO_4 in water. The solubility of PbSO_4 in water at 25°C is 1.25 × 10-^4 moles/liter." | {
"stem_1600": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.25 × 10^-9 moles^2/liter^2",
"opt_B": "7.8 × 10^-8 moles^2/liter^2",
"opt_C": "1.6 × 10^-8 moles^2/liter^2",
"opt_D": "1.0 × 10^-7 moles^2/lit... |
"Problem Statement:\nCalculate the density of a block of wood which weighs 750 kgand has the dimensions 25 cm × 0.10 m × 50.0 m." | {
"stem_1601": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.00 g/cc",
"opt_B": ".70 g/cc",
"opt_C": ".60 g/cc",
"opt_D": "0.40 g/cc",
"opt_E": "0.45 g/cc",
"opt_F": ".80 g/cc",
"opt_G"... |
"Problem Statement:\nHow many ounces of silver alloy which is 28% silver must be mixed with 24 ounces of silver which is 8% silver to produce a new alloy which is 20% silver?" | {
"stem_1602": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "48 ounces of silver",
"opt_B": "42 ounces of silver",
"opt_C": "54 ounces of silver",
"opt_D": "72 ounces of silver",
"opt_E": "60 ounces ... |
"Problem Statement:\nExpress the van der Waals parameters $b=0.0226 \\mathrm{dm}^3 \\mathrm{~mol}^{-1}$ in SI base units." | {
"stem_1603": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "22.6 \\times 10^{-3} $\\mathrm{~m}^3 \\mathrm{~mol}^{-1}$",
"opt_B": "0.0226 $\\mathrm{~m}^3 \\mathrm{~mol}^{-1}$",
"opt_C": "2.26 \\times 10^{-6} $\\... |
"Problem Statement:\nA nonvolatile benzoic acid dissolves in ethanol to form an ideal solution. Assuming there is no association or dissociation of the benzoic acid, calculate the solubility of the acid and the vapor pressure of the solution at 80°C given the following data. ∆H, cal/mole Compound Mol. wt M.p ;°C Normal... | {
"stem_1604": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.45 mole fraction, 0.55atm",
"opt_B": "0.60 mole fraction, 0.40 atm",
"opt_C": "0.50 mole fraction, 0.50atm",
"opt_D": "0.70 mole fraction, 0.3... |
"Problem Statement:\nA 2-liter Dumas bulb contains n moles of nitrogen at 0.5atm pressure and at T°K. On addition of 0.01 moles of oxygen, it is necessary to cool the bulb to a temperature of 10°C in order to maintain the same pressure. Calculate n and T." | {
"stem_1605": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "n = 0.01, T = 283K",
"opt_B": "n = 0.0332, T = 367K",
"opt_C": "n = 0.0332, T = 330K",
"opt_D": "n = 0.025, T = 350K",
"opt_E": "n = 0.02,... |
"Problem Statement:\nThe axial-flow fan of a laboratory wind tunnel produces an air velocity of 65 fps at the test section when driven by a 3-hp motor at a speed of 1200 rpm. What motor speed and power would be required to increase the velocity to 100 fps ?" | {
"stem_1606": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1500 rpm and 8.5 hp",
"opt_B": "1650 rpm and 9.5 hp",
"opt_C": "2100 rpm and 15 hp",
"opt_D": "1846 rpm and 10.9 hp",
"opt_E": "1950 rpm a... |
"Problem Statement:\nUsing the information in the following table, determine ∆H° for the reactions: a) 3Fe_2O_3 (s) + CO(g) \\rightarrow 2Fe_2O_4 (s) + CO_2 (g) b) Fe_3O_4 (s) + CO(g) \\rightarrow 3FeO(s) + CO_2 (g) c) FeO(s) + CO(g) \\rightarrow Fe(s) + CO_2 (g) Heats of Formation Compound ∆H° (Kcal/mole) CO (g) \\rul... | {
"stem_1607": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10.8 Kcal, 8.4 Kcal, 4.3 Kcal",
"opt_B": "10.6 Kcal, 8.3 Kcal, 4.2 Kcal",
"opt_C": "11.5 Kcal, 7.5 Kcal, 3.8 Kcal",
"opt_D": "9.7 Kcal, 8.1 Kcal... |
"Problem Statement:\nThe concentration of cholesterol dissolved in chloroform is 6.15 g per 100 ml of solution. (a) A portion of this solution in a 5-cmpolarimetertube causes an observed rotation of -1.2°. Calculate the specific rotation of cholesterol. (b) Predict the observed rotation if the same solution were placed... | {
"stem_1608": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-39.0, -2.4, -0.6",
"opt_B": "-41.0, -2.2, -0.4",
"opt_C": "-42.0, -2.1, -0.3",
"opt_D": "-37.0, -2.6, -0.8",
"opt_E": "-38.5, -2.35, -0.6... |
"Problem Statement:\nFour moles of PCl_5 are placed in a 2-liter flask. When the following equilibrium is established PCI_5\\rightleftarrows PCI_3 + CI_2 , the flask is found to contain 0.8 mole of Cl_2 . What is the equili-brium constant?" | {
"stem_1609": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.02M",
"opt_B": "0.4M",
"opt_C": "0.05M",
"opt_D": "0.1M",
"opt_E": "0.8M",
"opt_F": "0.6M",
"opt_G": "0.2M",
"opt_H": ... |
"Problem Statement:\nWhat weight of ice could be melted at 0°C by the heat liberated by condensing 100 g of steam at 100°C to liquid. Heat of vaporization = 540 cal/g, heat of fusion = 80 cal/g." | {
"stem_1610": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "600 g",
"opt_B": "540 g",
"opt_C": "675 g",
"opt_D": "900 g",
"opt_E": "720 g",
"opt_F": "450 g",
"opt_G": "1000 g",
"op... |
"Problem Statement:\nNumber 29 gage sheet steel designated as U.S.S. Transformer 52 yields the following data: Frequency Flux density, kilogauss Core loss, watts per 1b 30 8 0.135 60 12 0.76 30 12 0.31 Calculate the hysteresis and eddy-current losses for each of the frequencies shown in the table." | {
"stem_1611": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.90, 440 x 10^-7, 530 × 10^-9",
"opt_B": "2.0, 480 x 10^-7, 510 × 10^-9",
"opt_C": "2.15, 470 x 10^-7, 550 × 10^-9",
"opt_D": "2.05, 460 x 10^-... |
"Problem Statement:\nCalculate the minimum concentration of Br- ion necessary to bring about precipitation of AgBr from a solution in which the concentra-tion of Ag+ ion is 1 × 10-^5 mole per liter. K_sp for AgBr = 4 × 10-^13 ." | {
"stem_1612": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1 × 10^-6 M",
"opt_B": "4 × 10-^13 M",
"opt_C": "8 × 10^-10 M",
"opt_D": "3 × 10^-8 M",
"opt_E": "6 × 10^-4 M",
"opt_F": "1 × 10-^5 ... |
"Problem Statement:\nThe following projected synthesis for n-butane is not very efficient. Why? CH_3CH_2CH_2Br + CH_3Br + 2 Na \\rightarrow CH_3(CH_2)_2CH_3 + 2 NaBr" | {
"stem_1613": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Formation of only hexane",
"opt_B": "Decrease in the production of n-butane due to formation of ethane and hexane",
"opt_C": "Incomplete reaction due ... |
"Problem Statement:\nElectron diffraction makes use of electrons with wavelengths comparable to bond lengths. To what speed must an electron be accelerated for it to have a wavelength of $100 \\mathrm{pm}$ ? " | {
"stem_1614": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9.45 $10^6 \\mathrm{~m} \\mathrm{~s}^{-1}$",
"opt_B": "4.89 $10^6 \\mathrm{~m} \\mathrm{~s}^{-1}$",
"opt_C": "3.14 $10^6 \\mathrm{~m} \\mathrm{~s}^{-1... |
"Problem Statement:\nWhen 10.0 g of silicon dust, Si, is exploded with 100.0 g of oxygen, O_2, forming silicon dioxide, SiO_2, how many grams of O_2 remain uncombined? The reaction equation is Si + O_2 \\rightarrow SiO_2 ." | {
"stem_1615": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100 g",
"opt_B": "88.5 g",
"opt_C": "82.0 g",
"opt_D": "92.5 g",
"opt_E": "95.0 g",
"opt_F": "80.0 g",
"opt_G": "75.0 g",
... |
"Problem Statement:\nA gas obeys the vanderWaals equation, with P_c = 30atm andT_c= 200°C. The compressibility factor PV/RT will be more than one (at P = 50atm, T = 250°C; at P = 1atm, T = 100°C; P = 500atm, T = 500°C; none of these). Calculate the vanderWaals constant b for this gas." | {
"stem_1616": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.081 liter/mole",
"opt_B": "0.32 liter/mole",
"opt_C": "0.05 liter/mole",
"opt_D": "0.2424 liter/mole",
"opt_E": "0.1 atm/mole",
"o... |
"Problem Statement:\nWhat is the volume, in cubic centimeters, of a cube whichis 150.0 mm along each edge?" | {
"stem_1617": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "450 cc",
"opt_B": "2500 cc",
"opt_C": "1500 cc",
"opt_D": "150 cc",
"opt_E": "3375 cc",
"opt_F": "3000 cc",
"opt_G": "750 cc",... |
"Problem Statement:\nA bevel gear is keyed to a steel shaft by a steel feather key. The gear delivers a torque of 7500 in.-lb. and the shaft has a 2 in. diameter. Compute the key length if: (a) The key has thickness = (1/2) in. and width = (3/4) in (b) The key has thickness = (3/4) in. and width = (1/2) in Assume permi... | {
"stem_1618": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 1.5 in, (b) 1 (1/2) in",
"opt_B": "(a) 2.25 in, (b) 1.25 in",
"opt_C": "(a) 1.75 in, (b) 2.25 in",
"opt_D": "(a) 2.0 in, (b) 1 (3/4) in",
... |
"Problem Statement:\nThe first step in the radioactive decay of ^238_92U is ^238_92U = ^234_90Th + ^4_2He. Calculate the energy released in this reaction. The exact masses of ^238_92U, ^234_90Th, and ^4_2He are 238.0508, 234.0437 and 4.0026amu, respectively. 1.0073amu= 1.673 × 10^-24 g." | {
"stem_1619": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.36 × 10^-6 ergs",
"opt_B": "1.01 × 10^-5 ergs",
"opt_C": "6.72 × 10^-6 ergs",
"opt_D": "8.96 × 10^-6 ergs",
"opt_E": "5.49 × 10^-6 ergs"... |
"Problem Statement:\nFind the magnetic energy associated with unit length of an infinitely long straight wire of radius a carrying a current I." | {
"stem_1621": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "finite",
"opt_B": "Constant for all wire sizes and currents",
"opt_C": "Proportional to the inverse square of the current I",
"opt_D": "infinite... |
"Problem Statement:\nThe ionization constant for acetic acid is 1.8 × 10^-5 . a) Calculate the concentration of H^+ ions in a 0.10 molar solution of acetic acid. b) Calculate the concentration of H^+ ions in a 0.10 molar solution of acetic acid in which the concentration of acetate ions has been in-creased to 1.0 molar... | {
"stem_1622": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.4 × 10^-3 M; 1.9 × 10^-6 M",
"opt_B": "1.5 × 10^-3 M; 2.0 × 10^-6 M",
"opt_C": "1.1 × 10^-3 M; 1.6 × 10^-6 M",
"opt_D": "1.2 × 10^-3 M; 1.7 × ... |
"Problem Statement:\nCalculate the energy of one mole of UV photons of wavelength $300 \\mathrm{~nm}$ and compare it with a typical single-bond energy of $400 \\mathrm{~kJ} / \\mathrm{mol}$." | {
"stem_1623": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "450 $\\mathrm{~kJ} / \\mathrm{mol}$",
"opt_B": "700 $\\mathrm{~kJ} / \\mathrm{mol}$",
"opt_C": "250 $\\mathrm{~kJ} / \\mathrm{mol}$",
"opt_D": "... |
"Problem Statement:\n600 gal/hr of water is pumped to a height of 25 ft through a pipewith a 2 in. inside diameter, 0.0007 ft. surface roughness, and a total length of 625 ft. The pipeline has valvesand other fittings which may be considered as equivalentto 300 pipe diameters. There is also an additional pressure loss ... | {
"stem_1624": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.16 hp",
"opt_B": "0.25 hp",
"opt_C": "0.20 hp",
"opt_D": "0.18 hp",
"opt_E": "0.12 hp",
"opt_F": "0.08 hp",
"opt_G": "0.10 h... |
"Problem Statement:\n(a) A shunt motor is running at 1200 rpm for a load which requires an armature current of 50 amp from a 230-volt source. At no load the armature current is 5 amp. If the effect of armature reaction has reduced the air-gap flux 2 percent from no load to full load, determine the no-load speed. The ar... | {
"stem_1625": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "No-load speed is 1000 rpm, Line current is 1400 amp, External resistance is 2.5 ohms",
"opt_B": "No-load speed is 1300 rpm, Line current is 1600 amp, Extern... |
"Problem Statement:\nYou have two 1-liter containers connected to each other by a valve which is closed. In one container, you have liquid water in equilibrium with water vapor at 25°C. The other container contains a vacuum. Suddenly, you open the valve. Discuss the changes that take place, assuming temperature is cons... | {
"stem_1626": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Vapor pressure is halved, the concentration of the gaseous molecules is doubled, and the number of molecules is doubled",
"opt_B": "Vapor pressure is unchan... |
"Problem Statement:\nIn which of the following is not the negative end of the bond written last?" | {
"stem_1627": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "H—O",
"opt_B": "P—Cl",
"opt_C": "N—H",
"opt_D": "S—O",
"opt_E": "C—O",
"opt_F": "Si—Cl"
},
"label": "opt_C"
}
} |
"Problem Statement:\nUsing the definition of the bilateral z transform F (z) = ^\\infty\\sum_n=-\\infty f[n] z^-n, find the z - transform of f[n] = 3\\delta [n+2] + 4\\delta [n-1] + 2\\delta [n-3]." | {
"stem_1629": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3z^-2 + 4z^-1 + 2z^3",
"opt_B": "3z^2+ 4z^-1 + 2z^-3",
"opt_C": "2z^3 + 4z^-2 + 3z^-1",
"opt_D": "4z^2+ 3z^-1 + 2z^-3",
"opt_E": "4z^-3 + ... |
"Problem Statement:\nTwo moles of gaseous NH_3 are introduced into a 1.0-liter vessel and allowed to undergo partial decomposition at high temperature ac-cording to the reaction 2NH_3 (g) \\rightleftarrows N_2 (g) + 3H_2 (g) . At equilibrium, 1.0 mole of NH_3 (g) remains. What is the value of the equilibrium constant?" | {
"stem_1630": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.25",
"opt_B": "4.0",
"opt_C": "1.5",
"opt_D": "2.0",
"opt_E": "3.0",
"opt_F": "1.6875",
"opt_G": "0.5",
"opt_H": "1.0"... |
"Problem Statement:\nA mixture of nitrogen and oxygen gas is collected by displacement of water at 30°C and 700torrHg press-ure. if the partial pressure of nitrogen is 550torrHg, what is the partial pressure of oxygen? (Vapor pressure of H_2O at 30°C = 32torrHg.)" | {
"stem_1631": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "125torr",
"opt_B": "110torr",
"opt_C": "135torr",
"opt_D": "122torr",
"opt_E": "115torr",
"opt_F": "118torr",
"opt_G": "120tor... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Note that 1 atm = 1.013 25 bar. Unless otherwise stated, thermochemical data are for 298.15 K. A sample consisting of $2.0 \\mathrm{~mol} \\mathrm{CO}_2$ occupies a fixed volume of $15.0 \\mathrm{dm}^3$ at $300 \\mathrm{~K}$. When it is supplied... | {
"stem_1632": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+3.00 kJ",
"opt_B": "+3.50 kJ",
"opt_C": "+2.85$\\text{kJ}$",
"opt_D": "+1.95 kJ",
"opt_E": "+2.35$\\text{kJ}$",
"opt_F": "+1.35 kJ"... |
"Problem Statement:\nThe vibrational wavenumber of $\\mathrm{Br}_2$ is $323.2 \\mathrm{~cm}^{-1}$. Evaluate the vibrational partition function explicitly (without approximation) and plot its value as a function of temperature. At what temperature is the value within 5 per cent of the value calculated from the approxima... | {
"stem_1633": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7000 K",
"opt_B": "2500 K",
"opt_C": "3500$\\mathrm{~K}$",
"opt_D": "6000 K",
"opt_E": "2000 K",
"opt_F": "4500$\\mathrm{~K}$",
... |
"Problem Statement:\nWater at a temperature of 350°K moves at 2.5 × 10^-4m^3/sec through a (1/2) in. schedule 80 pipe. Calculate the heat transfer coefficient within the pipe." | {
"stem_1634": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11,000 W/m^2-K",
"opt_B": "9,450 W/m^2-K",
"opt_C": "10,300 W/m^2-K",
"opt_D": "10,060 W/m^2-K",
"opt_E": "9,900 W/m^2-K",
"opt_F": ... |
"Problem Statement:\nConsider a sample of hydrogen confined to a cylinder fitted with a piston of 5 cm^2 cross-section. At room temperature 25°C, it exerts a pressure of 2atmand it occupies 500 cm^3 . What is the change of entropy of the gas when the piston is withdrawn isothermally through a length of 100 cm?" | {
"stem_1635": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.04 JK^-1",
"opt_B": "0.44 JK^-1",
"opt_C": "0.74 JK^-1",
"opt_D": "0.34 JK^-1",
"opt_E": "0.94 JK^-1",
"opt_F": "0.64 JK^-1",
... |
"Problem Statement:\nLiquid nitrogen is an excellent bath for keeping temperatures around 77°K, its normal boiling point. What pressure would you need to maintain over the liquid nitrogen if you wanted to set the bath temperature at 85°K? Heat of vaporization is about 5560 (J / mole)." | {
"stem_1636": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.5 atm",
"opt_B": "2.26 atm",
"opt_C": "4.0 atm",
"opt_D": "5.5 atm",
"opt_E": "6.0 atm",
"opt_F": "1.5 atm",
"opt_G": "2.0 a... |
"Problem Statement:\nOn a given diet yielding 3000 Kcal per day, a 70 kg man excretes27.0g of urea daily. What percentage of his daily energy requirement is met by protein? Assume that gram of protein yields 4 Kcal and 0.16g of nitrogen as urea." | {
"stem_1637": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15%",
"opt_B": "10%",
"opt_C": "35%",
"opt_D": "40%",
"opt_E": "20%",
"opt_F": "17.5%",
"opt_G": "30%",
"opt_H": "25%",
... |
"Problem Statement:\nDuring the study of the reaction A → 2B, a chemist constructs several graphs. The graph of [A] versus time and the graph of ln [A] versus time both give a curved line; however, the graph of 1/[A] versus time and gives a straight line. This implies the rate law is" | {
"stem_1638": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Rate = k[A]^4",
"opt_B": "Rate = k[A]^-1",
"opt_C": "Rate = k[A]^2",
"opt_D": "Rate = k[A]",
"opt_E": "Rate = k[A]^-2",
"opt_F": "Ra... |
"Problem Statement:\nA shunt motor with an armature and field resistance of 0.055 and 32 ohms, respectively, is to be tested for its mechanical efficiency by means of a rope brake. When the motor is running at 1400 r/min, the longitudinal pull on the 6-inch diameter pulley is 57 lbs. Simultaneous readings of the line v... | {
"stem_1639": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Counter emf is 100 volts, Copper losses are 450 watts, Efficiency is 76%",
"opt_B": "Counter emf is 105 volts, Copper losses are 500 watts, Efficiency is 80... |
"Problem Statement:\nFor HF,K_diss= 6.7 × 10^-4 what is the H_3O^+ and OH^- concentrations of a 0.10M HF solution? Assume K_W = 1 × 10^-14 ." | {
"stem_1640": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "[H_3O^+] = 6.7 × 10^-3M, [OH^-] = 1.0 × 10^-12M",
"opt_B": "[H_3O^+] = 6.7 × 10^-4M, [OH^-] = 1.0 × 10^-11M",
"opt_C": "[H_3O^+] = 5.1 × 10^-5M, [OH^-... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the total change in entropy, when a sample of nitrogen gas of mass $14 \\mathrm{~g}$ at $298 \\mathrm{~K}$ and $1.00 \\mathrm{bar}$ doubles its volume in an isothermal irreversible expansion against... | {
"stem_1641": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+6.3$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_B": "+4.2$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_C": "+0.75$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_D": "+5... |
"Problem Statement:\nLemon juice is very acidic, having a pH of 2.1. If we assume that the only acid in lemon juice is citric acid (represented by HCit), thatHCitismonoproticand that no citrate salts are present, what is the concentration of citric acid in lemon juice? The dissociation constant for citric acid HCit+ H_... | {
"stem_1643": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.5 × 10^-2 M",
"opt_B": "2.1 × 10^-3 M",
"opt_C": "1.2 × 10^-2 M",
"opt_D": "6.3 × 10^-5 M",
"opt_E": "9.0 × 10^-3 M",
"opt_F": "5.... |
"Problem Statement:\nA 2-liter flask maintained at 700°K contains 0.1 mole of CO and a catalyst for the reaction CO(g) + 2H_2(g) = CH_3OH(g) Hydrogen is introduced until the equilibrium total pressure is 7atm, at which point 0.06 moles of methanol are formed . (a) CalculateK_pin atm^-2 (b) What would the final pressure... | {
"stem_1644": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.088 atm^-2, 10.45 atm",
"opt_B": "0.086 atm^-2, 10.42 atm",
"opt_C": "0.092 atm^-2, 10.50 atm",
"opt_D": "0.095 atm^-2, 10.55 atm",
"opt... |
"Problem Statement:\nConvert the Fourier series f(t) = ^+\\infty\\sum_k=-\\infty {(1) / (1 +jk)}e^jkt to trigonometric form." | {
"stem_1645": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "f(t) = 1 + 2 ^\\infty\\sum_k=1 [{coskt} / {1 + k^2}]",
"opt_B": "f(t) = ^\\infty\\sum_k=1 [{coskt+ k sinkt} / {1 + k^2}]",
"opt_C": "f(t) = 2 ^\\infty... |
"Problem Statement:\nDetermine the force required to raise a load of 3100 lbs., whena 2.5 in. triple threaded square power screw is used alongwith a collar having an outer diameter 4.5 in. and inner diameter3.0 in. The pitch of thread is 0.5 in. The operating forceis applied at a radius of 38 in. Assume the coefficient... | {
"stem_1646": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "70.5 lbs",
"opt_B": "65.5 lbs",
"opt_C": "95.5 lbs",
"opt_D": "80.5 lbs",
"opt_E": "100.5 lbs",
"opt_F": "75.5 lbs",
"opt_G": ... |
"Problem Statement:\nDetermine (a) the specific speed of a pump that is to deliver 2,000gpmagainst a head of 150 ft with arotativespeed of 600 rpm.(b) If therotativespeed were doubled, what would bethe flow rate and the head developed by the pump? Assume no change in efficiency. (c) The specific speed for theconditions... | {
"stem_1647": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 610, (b) 3200gpm and 480ft, (c) 610, (d) 390 rpm",
"opt_B": "(a) 650, (b) 4200gpm and 630ft, (c) 650, (d) 340 rpm",
"opt_C": "(a) 600, (b) 3000gpm... |
"Problem Statement:\nJoseph Priestly discovered oxygen gas by the decomposition of solid mercury(II) oxide, HgO, to oxygen gas, O2, and liquid mercury metal, Hg. How many moles of oxygen gas will form when 4.32 g of solid mercury(II) oxide decomposes? The formula mass of mercury(II) oxide is 216 g mol^-1." | {
"stem_1648": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.0080 mol",
"opt_B": "0.0150 mol",
"opt_C": "0.0200 mol",
"opt_D": "0.0050 mol",
"opt_E": "0.0100 mol",
"opt_F": "0.0250 mol",
... |
"Problem Statement:\nOf the several ways in which the supersonic transport (SST) acts as a pollutant, one is by the elimination of carbon dioxide (CO_2). During normal flight, CO_2 is released at a temperature of about 627°C and at a press-ure of 0.41 atm at an estimated rate of 6.6 × 10^4 kg per hour. To what volume d... | {
"stem_1649": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.7 × 10^7 liters",
"opt_B": "2.7 × 10^9 liters",
"opt_C": "1.5 × 10^8 liters",
"opt_D": "1.2 × 10^7 liters",
"opt_E": "2.7 × 10^5 liters"... |
"Problem Statement:\nAir is approximately 80% nitrogen and 20% oxygen (on a mole basis). If 4.0 g of hydrogen is added to a 22.4-liter flask maintained at 0°C and initially filled with air at 1atm pressure, what will be the molecular weight (i.e., the average molecular weight) of the hydrogen-air mixture?" | {
"stem_1650": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "36.0 gm/mole",
"opt_B": "4.0 gm/mole",
"opt_C": "32.8 gm/mole",
"opt_D": "28.8 gm/mole",
"opt_E": "22.4 gm/mole",
"opt_F": "26.6 gm/... |
"Problem Statement:\nA 50 V pulse is incident on a 30 ohm load (Z_L = R_L) in a line with characteristic resistance of Z_0 = R_0 = 50 ohms. Find the following: a) Incident Current Pulse, b) Reflection Coefficient, c) Reflected Voltage Pulse, d) Reflected Current Pulse, e) Net voltage and current at the load." | {
"stem_1651": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Incident Current Pulse: 1.5 Ampere, Reflection Coefficient: -0.3, Reflected Voltage Pulse: -15V, Reflected Current Pulse: 0.3 Amperes, Net voltage at the load: 35... |
"Problem Statement:\nWhen heated to 600°C, acetone (CH_3COCH_3) decomposes to give CO and various hydrocarbons. The reaction is found to be first order in acetone concentration with a half-life of 81 sec. Given at 600°Ca 1-liter container into which acetone is injected at 0.48 atm, approximate how long would it take fo... | {
"stem_1652": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20 sec",
"opt_B": "40 sec",
"opt_C": "120 sec",
"opt_D": "7.5 sec",
"opt_E": "8.56 sec",
"opt_F": "2.7 sec",
"opt_G": "0.693 s... |
"Problem Statement:\nA bariumtitantecapacitor is made by cutting a hollow BaTi0_3 (high dielectric,\\epsilon_R= 5000) cylinder in half along a diameter and depositing silver electrodes on the two rectangular faces of one half. Find the capacitance between these faces. It is given that the inner and outer radii of the c... | {
"stem_1653": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "150 × 10^-12F",
"opt_B": "500 × 10^-12F",
"opt_C": "100 × 10^-12F",
"opt_D": "450 × 10^-12F",
"opt_E": "700 × 10^-12F",
"opt_F": "65... |
"Problem Statement:\nArotameter, used for measuring the volumetric flow rate, consistsof a tapered vertical tube 18 inches long. The internaldiameters of the top and bottom ends of the tube are 1.5and1.0 inches respectively. The floating cork has a 1.0 inch diameter, 0.65 in^3 volume, and a specific gravity of 4.74. If... | {
"stem_1654": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.3 in",
"opt_B": "3.9 in",
"opt_C": "4.1 in",
"opt_D": "5.2 in",
"opt_E": "3.5 in",
"opt_F": "4.5 in",
"opt_G": "2.3 in",
... |
"Problem Statement:\nThe first step in the radioactive decay of (^238 _92)U is (^238 _92)U = (^234 _90)Th+ (^4 _2)He. Calculate the energy released in this reaction. The exact masses of (^238 _92)U, (^234 _90)Th, and (^4 _2)He are 238.0508, 234.0437 and 4.0026amu, respectively.(1.00073amu= 1.673 × 10^-24 g.)" | {
"stem_1655": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.21 × 10^-6 ergs",
"opt_B": "2.98 × 10^-6 ergs",
"opt_C": "6.72 × 10^-6 ergs",
"opt_D": "5.00 × 10^-6 ergs",
"opt_E": "5.55 × 10^-6 ergs"... |
"Problem Statement:\nFind the system function H(j\\omega) = [{V_i (j\\omega)} / {I_i (j\\omega)}], and impulse response of a one-port network if the input voltage, v_i(t) = 100cos\\omega_ot V, produces the input current, I_i (j\\omega) = 100\\pi [\\delta (\\omega +\\omega_o) + \\delta(\\omega -\\omega_o)] [(1 - j) / 2\... | {
"stem_1656": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "h(t) = \\delta(t) - e^-2t",
"opt_B": "h(t) = \\delta(t) - (2) e^-t",
"opt_C": "h(t) = \\delta(t) + (1 / 2) e^-2t",
"opt_D": "h(t) = \\delta(t) -... |
"Problem Statement:\nA wine has an acetic acid (CH_3 COOH, 60 g/formula weight) content of 0.66% by weight. If the density of the wine is 1.11 g/ml, what is the formality of the acid?" | {
"stem_1657": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.6 × 10^-3 F",
"opt_B": "1.5 × 10^-3 F",
"opt_C": "1.4 × 10^-3 F",
"opt_D": "0.8 × 10^-3 F",
"opt_E": "0.9 × 10^-3 F",
"opt_F": "1.... |
"Problem Statement:\nA) Determine the pH of a solution with a hydrogen ion concentration of 3.5 × 10^-4. B) If a solution has a pH of 4.25, what is the hydrogen ion concentration?" | {
"stem_1658": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "A) 3.46, B) 5.6 × 10^-5 mole/liter",
"opt_B": "A) 4.16, B) 6.9 × 10^-5 mole/liter",
"opt_C": "A) 4.54, B) 7.6 × 10^-5 mole/liter",
"opt_D": "A) ... |
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