state unknown | questions unknown |
|---|---|
"Problem Statement:\nUpon the addition of heat to an unknown amount of KCLO_3, .96 g of oxygen was liberated. How much KCLO_3 was present?" | {
"stem_1139": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.5 g",
"opt_B": "2.2 g",
"opt_C": "4.0 g",
"opt_D": "2.0 g",
"opt_E": "2.5 g",
"opt_F": "1.0 g",
"opt_G": "1.8 g",
"opt... |
"Problem Statement:\nSuggest a reason why liquid hydrogen fluoride is preferable to concentrated, aqueoushydrobromicacid in inducing propeneto react with benzene to produceisopropylbenzene." | {
"stem_1140": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Hydrogen fluoride reacts more selectively with propene",
"opt_B": "Hydrogen fluoride provides a better solvent environment for the reaction",
"opt_C":... |
"Problem Statement:\nIf the conductivity and relative permittivity of a medium are 0.3 mho/meter and 60 respectively, assuming that\\mu_r= 1, does the medium behave like a conductor or a dielectric at a frequency of: (a) 100 KHz, (b) 3000MHz?" | {
"stem_1141": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "At 100 KHz, its behavior is frequency-independent. At 3000MHz, it behaves like a dielectric.",
"opt_B": "At both frequencies, its behavior is frequency-inde... |
"Problem Statement:\nAn ideal gas X contains n atoms per molecule. Assuming that at 0%C thevibrationalcontribution to heat capacity C_P is negligible then C_P for X(g) and for N_2(g) is the same. Also theequipartitionvalue of C_P for X(g) minus theequipartition values of C_P for N_2 (g) = 6 cal/deg-mole. What can be sa... | {
"stem_1142": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "X is a non-linear tetraatomic molecule",
"opt_B": "X is a polyatomic molecule with five or more atoms",
"opt_C": "X is a monoatomic gas",
"opt_D... |
"Problem Statement:\nGiven the equilibrium H_2 S + H_2 O \\rightleftarrows H_3 0^+ + HS\\Elzbarand HS\\Elzbar+ H_2 O \\rightleftarrows H_3 O^+ + S\\Elzbar2, find the final concentration of S\\Elzbar2, if the final concentrations of H_3 O^+ and H_2 S are 0.3 M and 0.1 M, respectively. k_1 = 6.3 × 10\\Elzbar8for H_2 S + ... | {
"stem_1143": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.3 M",
"opt_B": "8.1 × 10^-9 M",
"opt_C": "9 × 10^-23 M",
"opt_D": "1.2 × 10^-21 M",
"opt_E": "7 × 10^22 M",
"opt_F": "1 × 10^14 M"... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the change in the molar Gibbs energy of hydrogen gas when its pressure is increased isothermally from $1.0 \\mathrm{~atm}$ to 100.0 atm at $298 \\mathrm{~K}$." | {
"stem_1144": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+17 $\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_B": "+7 $\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "+23 $\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_... |
"Problem Statement:\nFrozen-core $\\mathrm{SCF} / \\mathrm{DZP}$ and CI-SD/DZP calculations on $\\mathrm{H}_2 \\mathrm{O}$ at its equilibrium geometry gave energies of -76.040542 and -76.243772 hartrees. Application of the Davidson correction brought the energy to -76.254549 hartrees. Find the coefficient of $\\Phi_0$ ... | {
"stem_1145": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.7421",
"opt_B": "1.0678",
"opt_C": "0.8552",
"opt_D": "1.0125",
"opt_E": "0.8117",
"opt_F": "0.9315",
"opt_G": "0.8923",
... |
"Problem Statement:\nIn order to attract males for mating, females of many insect species secrete chemical compounds called pheromones. One compound of formula C_19H_38O (282 g/mole) is among these pheromones, 10-^12 g of it must be present to be effective. How many molecules must be present to be effective?" | {
"stem_1146": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10-^12 molecules",
"opt_B": "6.02 × 10^23 molecules",
"opt_C": "8.31 × 10^3 molecules",
"opt_D": "5 × 10^5 molecules",
"opt_E": "7.28 × 10... |
"Problem Statement:\nRecent communication with the inhabitants of Neptune has revealed that they have a Celsius-type temperature scale, but based on the melting point $(0^{\\circ} \\mathrm{N})$ and boiling point $(100^{\\circ} \\mathrm{N})$ of their most common substance, hydrogen. Further communications have revealed ... | {
"stem_1147": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-273$^{\\circ} \\mathrm{N}$",
"opt_B": "-150$^{\\circ} \\mathrm{N}$",
"opt_C": "-170$^{\\circ} \\mathrm{N}$",
"opt_D": "-250$^{\\circ} \\mathrm{... |
"Problem Statement:\nAn aircraft is flying in level flight at a speed of 250 km/hr throughair at standard conditions. The lift coefficient at this speedis 0.4 and the drag coefficient is 0.0065. The mass of theaircraft is 850 kg. Calculate the effective lift area for the craft." | {
"stem_1148": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.10m2",
"opt_B": "7.03m2",
"opt_C": "7.20 m²",
"opt_D": "6.80m2",
"opt_E": "8.00 m²",
"opt_F": "5.50 m²",
"opt_G": "6.30 m²",... |
"Problem Statement:\nWhat is the de Broglie wavelength of a radium alpha particle (a helium nucleus,He^2+) having an energy of 4.8MeV(million electron volts)?" | {
"stem_1149": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.5 × 10^-11 cm",
"opt_B": "6.6 × 10^-27 cm",
"opt_C": "1.0 × 10^-14 cm",
"opt_D": "1.0 × 10^-28 cm",
"opt_E": "7.7 × 10^-16 cm",
"o... |
"Problem Statement:\n0.20 g of cuttings from a silver coin (containing Cu) was completely dissolved in HNO_3. Then aNaClsolution was added to precipitateAgCl, which, when collected and dried, weighed 0.2152 g. What is the indicated percent of Ag in the coin?" | {
"stem_1150": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "87 %",
"opt_B": "85 %",
"opt_C": "65 %",
"opt_D": "88 %",
"opt_E": "92 %",
"opt_F": "81 %",
"opt_G": "72 %",
"opt_H": "7... |
"Problem Statement:\nIn 1932, many cities showed higher sunlight levels than in the previous year. Explain this observation." | {
"stem_1151": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The Earth's magnetic field weakened, allowing more solar radiation to reach the surface.",
"opt_B": "Improved measurement techniques provided more accurate ... |
"Problem Statement:\nFind the delta response h[n] of the equation y[n] - (5/6)y [n - 1] + (1/6)y [n - 2] = x[n], where h[- 1] = 0." | {
"stem_1153": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "h[n] = 2 (1/3)^n u[n] - 3 (1/3)^n u[n]",
"opt_B": "h[n] = 2 (1/2)^n u[n] - 3 (1/2)^n u[n]",
"opt_C": "h[n] = 2 (1/6)^n u[n] - (1/3)^n u[n]",
"op... |
"Problem Statement:\nThe symbol for antimony is" | {
"stem_1154": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Am",
"opt_B": "As",
"opt_C": "Ab",
"opt_D": "Au",
"opt_E": "Fe",
"opt_F": "Ag",
"opt_G": "An",
"opt_H": "At",
"opt... |
"Problem Statement:\nA voltage source 60cos1000t V is in series with a 2-k\\Omega resistor and a 1 -\\muFcapacitor. Findi_forced." | {
"stem_1155": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "i_forced= 28cos1000t - 14 sin 1000tmA",
"opt_B": "i_forced= 24cos1000t - 12 sin 1000tmA",
"opt_C": "i_forced= 20cos1000t + 10 sin 1000tmA",
"opt... |
"Problem Statement:\nThe ROM programmed during manufacturing process itself is called" | {
"stem_1156": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "PROM",
"opt_B": "MROM",
"opt_C": "DRAM",
"opt_D": "EPROM",
"opt_E": "SRAM",
"opt_F": "Cache Memory",
"opt_G": "VRAM",
"o... |
"Problem Statement:\nA 125/250-volt three-wire system has a load on the positive side of 500 amp, on the negative side of 450 amp, the neutral current therefore being 50 amp. If each machine of the balancer set has an efficiency of 86 percent, calculate the current for each of these machines and for the main generator.... | {
"stem_1157": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "I_g= 25 amp, I_m= 30 amp, I of main generator = 490 amp",
"opt_B": "I_g= 15 amp, I_m= 20 amp, I of main generator = 465 amp",
"opt_C": "I_g= 24 amp, I... |
"Problem Statement:\nA single phase full bridge inverter can operated in load commutation mode in case load consist of" | {
"stem_1158": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Purely resistive load.",
"opt_B": "RL.",
"opt_C": "RLC underdamped with a parallel connection.",
"opt_D": "RLC critically damped.",
"opt_E... |
"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. Concerns over the harmful effects of chlorofluorocarbons on stratospheric ozone have motivated a search for new refrigerants. One such alternative is ... | {
"stem_1159": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-4.25$\\mathrm{K}$",
"opt_B": "-6.00$\\mathrm{K}$",
"opt_C": "-5.50$\\mathrm{K}$",
"opt_D": "-1.25$\\mathrm{K}$",
"opt_E": "-3.75$\\mathrm... |
"Problem Statement:\nA 15-hp, 220-volt, 1800-r/min shunt motor has an efficiency of87 per cent at full load. The resistance of the field is 440 ohms.Calculate the (a) Full-load armature current. (b) Torque of the machine." | {
"stem_1160": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "54 amps, 38 lb. ft",
"opt_B": "56 amps, 46 lb. ft",
"opt_C": "61 amps, 47 lb. ft",
"opt_D": "58 amps, 44 lb. ft",
"opt_E": "59 amps, 42 lb... |
"Problem Statement:\nHow many grains of sulfuric acid are contained in 3.00 liters of 0.500 N solution? (MW of H_2SO_4 = 98.1.)" | {
"stem_1161": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "102.5 g",
"opt_B": "24.5 g",
"opt_C": "88.2 g",
"opt_D": "196.2 g",
"opt_E": "29.4 g",
"opt_F": "147 g",
"opt_G": "98.1 g",
... |
"Problem Statement:\nThe unaided eye can perceive objects which have a diameterof 0.1 mm. What is the diameter in inches?" | {
"stem_1162": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.007874 inches",
"opt_B": "0.000039 inches",
"opt_C": "0.039370 inches",
"opt_D": "3.94 ×10^3 inches",
"opt_E": "0.000787 inches",
... |
"Problem Statement:\nA sling-psychrometerreads 85°F DBT and 65°F WBT (DBT = Dry bulb temp., WBT = Wet bulb temp.). Calculate the following: (a) Specific humidity (b) Relative humidity (c) Dew point temperature. Assume atmospheric pressure to be 14.7psia." | {
"stem_1163": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Specific humidity = 0.011lbmwater/lbmdry air, Relative humidity = 25%, Dew point temperature = 57°F",
"opt_B": "Specific humidity = 0.0095lbmwater/lbmdry ai... |
"Problem Statement:\nCompute the missing mass of (^19 _9)F (atomic weight = 18.9984) when the masses of proton, neutron and electron are 1.00728, 1.00867 and 0.000549 respectively." | {
"stem_1164": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.1645 amu",
"opt_B": "0.1987 amu",
"opt_C": "0.1312 amu",
"opt_D": "0.1588 amu",
"opt_E": "0.1756 amu",
"opt_F": "0.2093 amu",
... |
"Problem Statement:\nUse partied fraction expansion to find the inverse z-transform of F (z) = [(30z^2 - 12 z) / (6z^2 - 5z + 1)]." | {
"stem_1165": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "f(n) = [3 (1/2)^n + 1 (1/3)^n + 1] u[n]",
"opt_B": "f(n) = [4 (1/2)^n - 1 (1/3)^n] u[n]",
"opt_C": "f(n) = [3 (1/2)^n - 2 (1/3)^n] u[n-1]",
"opt... |
"Problem Statement:\nA parachutist weighs 175 lb and has a projected frontal area of2 ft^2 in free fall. His drag coefficient based on frontal area isfound to be 0.80. If the air temperature is 70°F, determine histerminal velocity. Density of Air Versus Temperature Temperature, °F \\rho,lbm/ft^3 \\rho, slugs/ft^3 × 10^... | {
"stem_1166": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "200 fps",
"opt_B": "220 fps",
"opt_C": "325 fps",
"opt_D": "250 fps",
"opt_E": "307 fps",
"opt_F": "400 fps",
"opt_G": "275 fp... |
"Problem Statement:\nA balanced three-phase three-wire system supplies two bal-ancedY-connected loads. The first draws 6-kW at 0.8PF laggingwhile the other requires 12kW at 0.833PF leading. If thecurrent in each line is 8Arms, find the current in the: (a)firstload; (b) second load; (c) source phase." | {
"stem_1167": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "First load current: 3.464Arms, Second load current: 5.774Arms, Source phase current: 8.1 Arms",
"opt_B": "First load current: 3.273Arms, Second load current... |
"Problem Statement:\n(a) a 10,000 kg truck moving at 27.8 m/sec, (b) a 50 mg flea flying at 1 m/sec,and(c) a water molecule moving at 500 m/sec. The student proceeded to calculate the wave-length in centimeters of each object. What were these wavelength? h = 6.626 × 10^-34 J sec." | {
"stem_1168": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.4 × 10^-36 cm, 1.3 × 10^-26 cm, 4.43 × 10^-8 cm",
"opt_B": "4.8 × 10^-36 cm, 2.6 × 10^-25 cm, 8.86 × 10^-7 cm",
"opt_C": "2.4 × 10^-38 cm, 1.3 × 10^... |
"Problem Statement:\nFind the reflection coefficient for voltage waves at the load end of a 50 ohm transmission line terminated with a load impedance of 25 - j75 ohms." | {
"stem_1169": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.745∠-116.5651°",
"opt_B": "0.675∠-116.5651°",
"opt_C": "0.745∠116.5651°",
"opt_D": "- 0.745∠-116.5651°",
"opt_E": "- 0.745∠116.5651°",
... |
"Problem Statement:\nTwo flasks of equal volume are filled with nitrogen gas and, when both are immersed in boiling water, the gas pressure inside the system is 0.5 atm. One of the flasks is then immersed in an ice-water mixture, keeping the other in the boiling water. Calculate the new pressure for the system." | {
"stem_1170": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.25 atm",
"opt_B": "0.423 atm",
"opt_C": "0.600 atm",
"opt_D": "0.373 atm",
"opt_E": "0.5 atm",
"opt_F": "0.280 atm",
"opt_G"... |
"Problem Statement:\nEvaluate the frictional torque delivered and the axial force developedbetween the discs for a one plate clutch assumingthat both sides of the plate deliver torque. The coefficientof friction for the clutch material is 0.35 and the maximumpermissible pressure is 20 psi. The clutch has an insideand o... | {
"stem_1171": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "19,352 lbs.-in., 2513.27 lbs.",
"opt_B": "22,000 lbs.-in., 2900 lbs.",
"opt_C": "18,000 lbs.-in., 2500 lbs.",
"opt_D": "12,000 lbs.-in., 2600 lb... |
"Problem Statement:\nThe bar is a unit of pressure defined as 1.00 × 10^6 dynes/cm^2, or 1.00 × 10^5 N/m^2. What is the equivalent of the bar in units of mm Hg?" | {
"stem_1172": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "750 mm Hg",
"opt_B": "650 mm Hg",
"opt_C": "1.00 × 10^6 N/m^2",
"opt_D": "1.00 × 10^4 N/m^2",
"opt_E": "1.013 × 10^5 N/m^2",
"opt_F"... |
"Problem Statement:\nA flask containing H_2 at 0°C was sealed off at a pressure of 1 atm and the gas was found to weigh, 4512 g. Calculate the number of moles and the number of molecules of H_2 present." | {
"stem_1173": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.2250 moles, 1.350 × 10^23 molecules",
"opt_B": "0.2238 moles, 6.023 × 10^23 molecules",
"opt_C": "1.500 moles, 9.033 × 10^23 molecules",
"opt_... |
"Problem Statement:\nAssuming that a dipole antenna is placed 2 meters above theearth's surface, determine its operating frequency if the antennais placed one-quarter of a wavelength above the earth'ssurface." | {
"stem_1174": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "18.75MHz",
"opt_B": "50MHz",
"opt_C": "60MHz",
"opt_D": "90MHz",
"opt_E": "45MHz",
"opt_F": "100MHz",
"opt_G": "25MHz",
... |
"Problem Statement:\nThe capillary rise for liquid A is 1.0 cm at 25°C. a) What will be the rise using the same capillary for liquid B given that liquid A has half the surface tension and twice the density of liquid B. b) How many times will the maximum bubble pressure for liquid B be greater than liquid A using the sa... | {
"stem_1175": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "h_B= 2h_A, the pressure will be half as much for liquid B as for liquid A",
"opt_B": "h_B= 2h_A, the pressure will be the same for liquid B and A",
"o... |
"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_1176": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.202 liter/mole",
"opt_B": "0.4848 liter/mole",
"opt_C": "0.054 liter/mole",
"opt_D": "0.081 liter/mole",
"opt_E": "0.162 liter/mole",
... |
"Problem Statement:\nChoosing suitable parameters, design a ramp generator analog to digital converter (A. D. C.) to transform f(t) = sin 2\\pit into a digital signal of 4 bits." | {
"stem_1177": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Sampling rate of 5 samples/sec, ramp slope of 150 V/sec, counting rate of 1,500 counts/second",
"opt_B": "Sampling rate of 3 samples/sec, ramp slope of 100 ... |
"Problem Statement:\nThe rate law may be written using stoichiometric coefficients for which of the following?" | {
"stem_1178": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Redox reactions",
"opt_B": "Elementary processes",
"opt_C": "Dissolution reactions",
"opt_D": "Polymerization reactions",
"opt_E": "Comple... |
"Problem Statement:\nA four-pole d-c generator has an armature winding containing a total of 648 conductors connected in two parallel paths. If the flux per pole is 0.321 × 10^6 maxwells and the speed of rotation of the armature is 1,800 rpm, (a) calculate the average generated voltage, (b) calculate the rated current ... | {
"stem_1179": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 110 volts, (b) 27 amp",
"opt_B": "(a) 125 volts, (b) 20 amp",
"opt_C": "(a) 100 volts, (b) 15 amp",
"opt_D": "(a) 130 volts, (b) 22 amp",
... |
"Problem Statement:\nA 360° journal bearing 3 in.long,carries a 4 in. diameter shaftwith a radial clearance of 0.0025 in. The shaft supports aradial load of 1000 lbs. and at a speed of 500 rpm. The operatingtemperature for the bearing is 140°Fand SAE 20 oilis used for bearing lubrication. Evaluate the following by Petr... | {
"stem_1180": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Friction coefficient for the bearing is 0.003284, Heat energy lost due to friction in the bearing is 0.066 hp",
"opt_B": "Friction coefficient for the beari... |
"Problem Statement:\nA perfect gas undergoes isothermal compression, which reduces its volume by $2.20 \\mathrm{dm}^3$. The final pressure and volume of the gas are $5.04 \\mathrm{bar}$ and $4.65 \\mathrm{dm}^3$, respectively. Calculate the original pressure of the gas in atm." | {
"stem_1181": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.55 atm",
"opt_B": "3.38$\\mathrm{atm}$ ",
"opt_C": "4.96 $\\mathrm{atm}$",
"opt_D": "7.03 atm",
"opt_E": "1.74 $\\mathrm{atm}$",
"... |
"Problem Statement:\nFor the reaction N_2O_4 (g) \\rightleftarrows 2NO_2 (g) at 300°K, K_pis 0.174. Calculate the apparent molecular weight of an equilibrium mixture of N_2O_4 and NO_2 formed by the dissociated of 1 mole of pure N_2O_4 at a total pressure of 1 atm and a temperature of 300°K." | {
"stem_1182": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "82.1 g mole^-1",
"opt_B": "80.2 g mole^-1",
"opt_C": "74.8 g mole^-1",
"opt_D": "70.9 g mole^-1",
"opt_E": "84.7 g mole^-1",
"opt_F"... |
"Problem Statement:\nThe solubility product constant of magnesium hydroxide is 8.9 × 10-^12 , calculate its solubility in (a) water and (b) .05M NaOH." | {
"stem_1183": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.4 × 10-^4 mol/liter and 3.7 × 10-^9 mol/liter",
"opt_B": "1.5 × 10-^4 mol/liter and 3.8 × 10-^9 mol/liter",
"opt_C": "1.1 × 10^-4 mol/liter and 3.0 ... |
"Problem Statement:\nThe initial mass of a rocket is to be 100,000 lb, of which 5 percent is to be structure, the remainder fuel and payload. If thespecific impulse of the propellant combination used is 300lb_f/lb_m/sec, calculate the payload mass that would be ableto escape from earth for a single-state and for a two-... | {
"stem_1184": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3200 lb_m",
"opt_B": "495 lb",
"opt_C": "6500 lb_m",
"opt_D": "9900lb_m",
"opt_E": "1470lb_m",
"opt_F": "730 lb_m",
"opt_G": "... |
"Problem Statement:\nA spherical automobile component of 6 in diameter, ini-tially at 80°F, is placed in a cubical oven of side 5 ft which is at a temperature of 560°F. Considering both of them as black bodies, calculate the net heat transferred from the oven to the component." | {
"stem_1185": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1750 Btu/hr",
"opt_B": "1500 Btu/hr",
"opt_C": "2000 Btu/hr",
"opt_D": "1000 Btu/hr",
"opt_E": "1450 Btu/hr",
"opt_F": "2200 Btu/hr"... |
"Problem Statement:\nA heat exchanger that is used for cooling oil is constructed with a bank of 200 tubes of outside diameter d_0 = 0.5 in, inside diameterd_i= 0.428 in, and length L = 4 ft. The tubes are enclosed inside a shell of inside diameter D_i = 10 in. Water at 65°F is flowing at a rate of 10,000 gal/hr inside... | {
"stem_1186": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "190°F",
"opt_B": "150°F",
"opt_C": "160°F",
"opt_D": "145°F",
"opt_E": "167°F",
"opt_F": "170°F",
"opt_G": "165°F",
"opt... |
"Problem Statement:\nThe half-life for a given reaction was halved as the initial concentration of a reactant was doubled. What is n for this component ?" | {
"stem_1187": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1",
"opt_B": "-1",
"opt_C": "6",
"opt_D": "3",
"opt_E": "0",
"opt_F": "7",
"opt_G": "4",
"opt_H": "5",
"opt_I": "1... |
"Problem Statement:\nCalculate the pH at 25°C of a solution containing 0.10 M sodium acetate and 0.03 M acetic acid. The apparentpKfor acetic acid at this ionic strength is 4.57." | {
"stem_1188": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.25",
"opt_B": "6.10",
"opt_C": "4.09",
"opt_D": "4.75",
"opt_E": "4.57",
"opt_F": "3.90",
"opt_G": "4.25",
"opt_H": "5... |
"Problem Statement:\nA 10kVA distribution transformer has a 240V secondary winding. The equivalent internal resistance of this transformer, referred to that winding, is 0.048\\Omega. The core lossof this transformer is 75W. At whatkVAload will this transformeroperate at maximum efficiency?" | {
"stem_1189": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "110% of rated load",
"opt_B": "90% of rated load",
"opt_C": "100% of rated load",
"opt_D": "95% of rated load",
"opt_E": "50% of rated loa... |
"Problem Statement:\nFind theeigenvaluesof matrices (a)\\vert31\\vert \\vert13\\vert (b)\\vert221\\vert \\vert131\\vert \\vert122\\vert (c)\\vert2- 10\\vert \\vert946\\vert \\vert- 80- 3\\vert" | {
"stem_1190": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Eigenvalues are 4, 1 for the first matrix; 3, 1, 1 for the second matrix; 1, -1, 4 for the third matrix",
"opt_B": "Eigenvalues are 3, 2 for the first matri... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. A sample of $4.50 \\mathrm{~g}$ of methane occupies $12.7 \\mathrm{dm}^3$ at $310 \\mathrm{~K}$. Calculate the work done when the gas expands isothermally against a constant external ... | {
"stem_1192": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$-88$$\\mathrm{J}$ ",
"opt_B": "$-110 \\mathrm{J}$",
"opt_C": "$-75$$\\mathrm{J}$",
"opt_D": "$-130 \\mathrm{J}$",
"opt_E": "$-50 \\mathrm... |
"Problem Statement:\nAt approximately what temperature will water boil ifthe elevationis 10,000 ft?" | {
"stem_1193": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "206°F",
"opt_B": "193°F",
"opt_C": "190°F",
"opt_D": "212°F",
"opt_E": "180°F",
"opt_F": "100°F",
"opt_G": "185°F",
"opt... |
"Problem Statement:\nFind the 10 percent and 60 percent depth of penetrations of an electromagnetic wave of amplitude E_y= E_0e^-x/\\delta (E_0 is initial amplitude) traveling in the x-direction." | {
"stem_1194": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10 percent depth of penetration is 0.3\\delta, 60 percent depth of penetration is 1\\delta",
"opt_B": "10 percent depth of penetration is \\delta, 60 percen... |
"Problem Statement:\nIf a membrane contains 40% by weight of lipids and 60% protein, calculate the molar ratio of lipids to proteins. Assume that the lipid molecules have an average molecular weight of 800 and the proteins an average molecular weight of 50,000." | {
"stem_1195": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.05",
"opt_B": "120",
"opt_C": "0.016",
"opt_D": "1.2 × 10^-3",
"opt_E": "800",
"opt_F": "41.7",
"opt_G": "3.33",
"opt_... |
"Problem Statement:\nThe wet-bulb thermometer reads a temperature of 65°F whenair at atmospheric pressure and 95°F blows across the thermometer. Determine the relative humidity of the air stream." | {
"stem_1196": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "26.1 %",
"opt_B": "34.5 %",
"opt_C": "10.4 %",
"opt_D": "15.6 %",
"opt_E": "38.6 %",
"opt_F": "42.9 %",
"opt_G": "47.8 %",
... |
"Problem Statement:\nThe gypsy moth produces a natural attractant, C_18H_34O_3. If a female moth is trapped behind a cellophane screen containing a pinhole and the carbon dioxide she produces diffuses through the pinhole at the rate of 1millimicromole per 90 seconds, what quantity of attractant will diffuse through the... | {
"stem_1197": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.25 millimicromoles",
"opt_B": "0.45 millimicromoles",
"opt_C": "0.40millimicromoles",
"opt_D": "0.48 millimicromoles",
"opt_E": "0.42mil... |
"Problem Statement:\n(a) Find the value of an inductor which carries 2 A. of current and in which 20 J of energy is stored. (b) Find the value of a capacitor with 500 volts across it, in which 20 J of energy is stored." | {
"stem_1198": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4 H, 140 µF",
"opt_B": "30 H, 250 µF",
"opt_C": "10 H, 160 \\muF",
"opt_D": "5 H, 80 \\muF",
"opt_E": "20 H, 320 \\muF",
"opt_F": "1... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. Calculate the work needed for a $65 \\mathrm{~kg}$ person to climb through $4.0 \\mathrm{~m}$ on the surface of the Earth." | {
"stem_1199": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$1.5 \\times 10^3 \\mathrm{J}$",
"opt_B": "$3.5 \\times 10^3 \\mathrm{J}$",
"opt_C": "$1.8 \\times 10^3$$\\mathrm{J}$",
"opt_D": "$2.4 \\times 1... |
"Problem Statement:\nAn induction motor carries a rotor current per phase of 10 amperes when loaded until the slip is 5 percent. If the rotor effective resistance is 0.1 ohm per phase, determine the internal power developed per phase." | {
"stem_1200": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.9 ohms",
"opt_B": "150 watts",
"opt_C": "95 watts",
"opt_D": "200 watts",
"opt_E": "250 watts",
"opt_F": "50 watts",
"opt_G"... |
"Problem Statement:\nCompare the ionic bond strength ofNaClto KF; assuming that the radii of Na^+, K^+, F^-, andCl^- are, respectively, 0.097, 0.133, 0.133, and 0.181 NM." | {
"stem_1201": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "88.4%",
"opt_B": "90.6%",
"opt_C": "97.5%",
"opt_D": "87.9%",
"opt_E": "89.5%",
"opt_F": "92.3%",
"opt_G": "95.6%",
"opt... |
"Problem Statement:\nCalculate the saturation concentration of oxygen in water exposedto dry air at 1 atm. and 25°C. Given the Henry's constantfor dissolved oxygen in water at 25°C = 4.12 × 10^9 [(Pa) / (mole of O_2/total mole of solution)]" | {
"stem_1202": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "13.5 [(mg of O_2) / (liter of solution)]",
"opt_B": "6.45 [(mg of O_2) / (liter of solution)]",
"opt_C": "8.0 [(mg of O_2) / (liter of solution)]",
... |
"Problem Statement:\n0.0025 mol of a weak, monoprotic acid is dissolved in 0.250 L of distilled water. The pH was then measured as 4.26. What is the pKa of this weak acid?" | {
"stem_1203": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.80",
"opt_B": "5.75",
"opt_C": "8.52",
"opt_D": "9.25",
"opt_E": "6.52",
"opt_F": "8.75",
"opt_G": "4.26",
"opt_H": "6... |
"Problem Statement:\nAn explorer, lost in. the desert, stumbled on an abandoned automobile whose gas tank still held 5 liters of fuel. Gasoline has a density of 0.67 g / cc. Assuming gasoline to be composed of C_7H_16 molecules, how many liters of water could he produce by burning the fuel and trapping the products ? T... | {
"stem_1204": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "603.0 g",
"opt_B": "3350 g",
"opt_C": "5000 cc",
"opt_D": "45 liters",
"opt_E": "7.0 moles",
"opt_F": "5.0 liters",
"opt_G": "... |
"Problem Statement:\nCalculate the critical angle for an electromagnetic wave passingfrom the following dielectrics into air. Material\\epsilon/\\epsilon_0(Ratio of permittivity to that of air) Distilled water81.1 Glass9" | {
"stem_1205": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9 degrees for distilled water, 81.1 degrees for glass",
"opt_B": "6.3 degrees for distilled water, 19.4 degrees for glass",
"opt_C": "81.1 degrees for... |
"Problem Statement:\nCalculate the angle that the spin vector $S$ makes with the $z$ axis for an electron with spin function $\\alpha$." | {
"stem_1206": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "180.0 $^{\\circ}$",
"opt_B": "90.0 $^{\\circ}$",
"opt_C": "120.0 $^{\\circ}$",
"opt_D": "0.0 $^{\\circ}$",
"opt_E": "135.0 $^{\\circ}$",
... |
"Problem Statement:\nDuring the course of World War I, 1.1 × 10^8 kg of poison gas was fired on Allied soldiers by German troops. If the gas is assumed to be phosgene (C0C1_2), how many molecules of gas does this correspond to?" | {
"stem_1207": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.3 × 10^31 molecules",
"opt_B": "8.2 × 10^30 molecules",
"opt_C": "3.0 × 10^25 molecules",
"opt_D": "1.1 × 10^9 molecules",
"opt_E": "6 ×... |
"Problem Statement:\nDuring a chemical reaction, NO(g) gets reduced and no nitrogen-containing compound is oxidized. Which of the following is a possible product of this reaction?" | {
"stem_1208": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "N2(g)",
"opt_B": "N2O5(g)",
"opt_C": "NO(g)",
"opt_D": "NO2-(aq)",
"opt_E": "NO3-(aq)",
"opt_F": "NO2(g)"
},
"label": "opt_A... |
"Problem Statement:\nPhotochemicalsmogsare thought to be partially initiated by Photochemicalsmogsare thought to be partially initiated by the photolytic decomposition of NO 2 to form NO and O. When the subsequent reaction 2NO + O 2 \\rightarrow 2N0_2 is studied kinetically, it is found that when the initial concentrat... | {
"stem_1209": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "rate = k [NO]^4 [O_2]^2",
"opt_B": "rate = k [NO]^2 [O_2]^3",
"opt_C": "rate = k [NO] [O_2]^2",
"opt_D": "rate = k [NO]^3 [O_2]^2",
"opt_E... |
"Problem Statement:\nA sinusoidal signal in the frequency range 0.4 to 4.4 KHz is being sampled at a rate equal to four times theNyquistrate. If this signal is received by a receiver of signal-to-noise ratio {(s_i) / (\\eta} = 10^6 after being quantized by a 256 levelquantizer at the transmission end, calculate (a) The... | {
"stem_1210": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "T = 5.125 microseconds, N = 6 bits, P_e = 10^-3",
"opt_B": "T = 3.125 microseconds, N = 8 bits, P_e = 10^-5",
"opt_C": "T = 3.75 microseconds, N = 10 ... |
"Problem Statement:\nA chemist mixes .5 moles of acetic acid (HC_2H_3O_2) and .5 moles of HCN with enough water to make a one liter solution. Calculate the final concentrations of H_3O^+ and OH^-. Assume the following constants: KHC2 H3 O2= 1.8 × 10^-5, K_HCN = 4 × 10^-10, K_W = 1.0 × 10^-14." | {
"stem_1211": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "[H_3O^+] = 3.0 × 10^-3M, [OH^-] = 3.3 × 10^-12M",
"opt_B": "[H_3O^+] = 9.0 × 10^-6M, [OH^-] = 1.1 × 10^-9M",
"opt_C": "[H_3O^+] = 7.0 × 10^-11M, [OH^-... |
"Problem Statement:\nDetermine the scalar potential function of the vector function A^\\ding{217}: A^\\ding{217} =2xy\\^{\\i}+ x^2\\^{\\j} + 3z^2k̂" | {
"stem_1212": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2x^2y + 3z^3 + C",
"opt_B": "x^2y + z^3 + C",
"opt_C": "xy^2 + z^3 + C",
"opt_D": "2xy + z^3 + C",
"opt_E": "x^2 + y^2 + z^2 + C",
"... |
"Problem Statement:\nCarbon dioxide obeys the reduced Berthelot equation reasonably well z = (PV / RT) = 1 + [9 / (128)] = 1 + [9 / (128)] [PT_c/ (P_cT)] [1 - 6 (T^2_c / T^2)] Given:T_c= 304.3 K and P_c = 73.0atm, calculate the fugacity of carbon dioxide at a temperature of 150°C and pressure of 50 atm." | {
"stem_1213": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "52.7 atm",
"opt_B": "46.4atm",
"opt_C": "61.0 atm",
"opt_D": "56.4atm",
"opt_E": "37.6 atm",
"opt_F": "34.8 atm",
"opt_G": "42... |
"Problem Statement:\nAn analog signal is quantized and encoded using pulse code modulation (PCM). (a) If the number of quantization levels M = 16 and the word length is 400 \\musec determine the minimum channel bandwith (f_c) required to transmit the bi-nary PCM signal. (b) If the channel has a bandwidth half of what i... | {
"stem_1214": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.26 × 10^+3Hz and 8",
"opt_B": "6.12 x 10^+3Hz and 12",
"opt_C": "2.00 x 10^+3Hz and 16",
"opt_D": "3.00 x 10^+3Hz and 3",
"opt_E": "1.53... |
"Problem Statement:\n(a)Whatforce will be required to move a short-circuited conductoracross a magnetic field of 5,000 gausses if the conductoris 100 centimeters long, moves at a uniform speedof 100 centimeters per second and the circuit has a resistanceof 0.04 ohm ? (b) What force will be required to force the conduct... | {
"stem_1215": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.0 pounds and 6.0 pounds",
"opt_B": "0.8 pounds and 1.6 pounds",
"opt_C": "1.0 pound and 2.0 pounds",
"opt_D": "2.5 pounds and 5.6 pounds",
... |
"Problem Statement:\nSuppose that $2.5 \\mathrm{mmol} \\mathrm{N}_2$ (g) occupies $42 \\mathrm{~cm}^3$ at $300 \\mathrm{~K}$ and expands isothermally to $600 \\mathrm{~cm}^3$. Calculate $\\Delta G$ for the process." | {
"stem_1216": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-15 $\\mathrm{~J}$",
"opt_B": "-20 J",
"opt_C": "-10 J",
"opt_D": "-5 J",
"opt_E": "-25 J",
"opt_F": "-22 $\\mathrm{~J}$",
"op... |
"Problem Statement:\nA television picture is composed of approximately 300,000 individual picture elements, each of which can attain ten different and distinguishable brightness levels (such as black and shades of gray) for proper contrast. If, for any picture element, the probability of occurrence of the ten brightnes... | {
"stem_1217": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.5MHz",
"opt_B": "1.5MHz",
"opt_C": "6MHz",
"opt_D": "8MHz",
"opt_E": "2MHz",
"opt_F": "4MHz",
"opt_G": "3MHz",
"opt_H"... |
"Problem Statement:\nWhat is the equation of a 25-cycle-current sine wave, having anrmsvalue of 30 amp, and what is the value of the current whenthe time is 0.005 sec ? What fraction of a cycle has the wavegone through in 0.005 sec ? Assume that the wave crossesthe time axis in a positive direction when the time is equ... | {
"stem_1218": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "i= 42.4 sin 314t, 30 amp, 1/12 cycle",
"opt_B": "i= 42.4 cos 157t, 25 amp, 1/6 cycle",
"opt_C": "i= 30 sin 100t, 42.4 amp, 1/6 cycle",
"opt_D": ... |
"Problem Statement:\nOne problem concerning space flight is the removal of carbon dioxide (CO_2, molecular weight = 44.0 g / mole) emitted by the human body (about 924 g of CO_2 per day). One solution is to react CO_2 with sodium hydroxide (NaOH, molecular weight = 40.0 g / mole) to form water and sodium carbonate (Na_... | {
"stem_1219": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20.5 kg",
"opt_B": "15.7 kg",
"opt_C": "22.0 kg",
"opt_D": "18.9 kg",
"opt_E": "21.2 kg",
"opt_F": "14.5 kg",
"opt_G": "19.6 k... |
"Problem Statement:\nDetermine the dew point of a mixture of benzene and n-pentane gases. The composition is 60 mole percent benzene and 40 mole percent n-pentane. The total pressure is 1 atm." | {
"stem_1220": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100°C",
"opt_B": "75°C",
"opt_C": "80°C",
"opt_D": "70°C",
"opt_E": "60°C",
"opt_F": "85°C",
"opt_G": "69°C",
"opt_H": "... |
"Problem Statement:\nIn a factory four machines produce the same product. Machine A produces 10% of the output, machine B, 20%, machine C, 30%, and machine D, 40%. The proportion of defective items produced by these follows: Machine A: .001; Machine B: .0005; Machine C: .005; Machine D: .002. An item selected at random... | {
"stem_1221": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "P(M_1|M) = 1/30, P(M_2|M) = 2/30, P(M_3|M) = 1/3, P(M_4|M) = 1/30",
"opt_B": "P(M_1|M) = 1/15, P(M_2|M) = 1/15, P(M_3|M) = 1/2, P(M_4|M) = 2/15",
"opt... |
"Problem Statement:\nConsider the nonuniform field E= ya_x + xa_y + 2a_z Determine the work expended in carrying 2 C from B (1,0,1) to A (0.8, 0.6, 1) along the shorter arc of the circle x^2 + y^2 = 1 z = 1" | {
"stem_1222": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.96 J",
"opt_B": "1.44 J",
"opt_C": "1.20 J",
"opt_D": "2.88 J",
"opt_E": "1.92 J",
"opt_F": "2.40 J",
"opt_G": "3.36 J",
... |
"Problem Statement:\nThe barometric pressure on the lunar surface is about 10^-10 torr. At a temperature of 100°K, what volume of lunar atmosphere contains (a) 10^6 molecules of gas, and (b) 1 millimole of gas?" | {
"stem_1223": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.52 × 10^-4 l and 3.12 × 10^10 l",
"opt_B": "5.20 × 10^-5 l and 3.12 × 10^9 l",
"opt_C": "2.04 × 10^-4 l and 6.24 × 10^11 l",
"opt_D": "1.24 × ... |
"Problem Statement:\nHemoglobin, the protein responsible for carrying oxygen from the lungs to the body tissues, contains 0.355 per cent iron. Hydrolysis of 100 g of hemoglobin gives 1.48 g of tryptphan ; calculate the minimum molecular weight of hemoglobin which is consistent with these results." | {
"stem_1224": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "204",
"opt_B": "66,500",
"opt_C": "13,800",
"opt_D": "32,000",
"opt_E": "56",
"opt_F": "15,800",
"opt_G": "7,500",
"opt_... |
"Problem Statement:\nA shaft has to transmit 30 hp at 400 rpm. The ultimate shear stress for the steel shaft is 60,000 psi with a factor of safety of 5. Determine the diameter if the shaft selected is to be a) solid and b) hollow with the ratio of inside diameter to outside diameter of 0.5." | {
"stem_1225": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Solid shaft diameter: 1.625 in, Hollow shaft outer diameter: 1.625 in, Hollow shaft inner diameter: 0.8125 in",
"opt_B": "Solid shaft diameter: 1.2 in, Holl... |
"Problem Statement:\nFindcurlaat the point (1, - 2, 1) fora= x^2y^2i+ 2xyzj+ z^2k(1)" | {
"stem_1226": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(4, 4, 0)",
"opt_B": "(-2, 0, 0)",
"opt_C": "(0, 0, 4)",
"opt_D": "(4, 0, 0)",
"opt_E": "(2, 0, 0)",
"opt_F": "(6, 0, 0)",
"op... |
"Problem Statement:\nDetermine the mass and specific volume of argon gas in a vessel at 150kPaand 20°C. The vessel is spherical and has a radius of 5m." | {
"stem_1227": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "mass = 1350 kg, specific volume = 0.47 m^3/kg",
"opt_B": "mass = 1288 kg, specific volume = 0.4065 m^3/kg",
"opt_C": "mass = 1200 kg, specific volume ... |
"Problem Statement:\nThe three stages of a cascadedamplifier,have power gains G_1 = 15, G2= 10 and G_3 = 5 respectively. If the effective inputnoise temperatures are T_(e)1 = 1350K, T_(e)2 = 1700K andT_(e)3 = 2500K, determine, (a)overalleffective noise temperature and (b)orderingof the cascaded stages to achieve optimu... | {
"stem_1228": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1480K, lowest gain first",
"opt_B": "1700K, lowest gain first",
"opt_C": "1480K, highest gain first",
"opt_D": "2500K, lowest gain last",
... |
"Problem Statement:\nThe number of rings in the Bohr model of any element is determined by what?" | {
"stem_1229": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Number of isotopes.",
"opt_B": "Atomic number.",
"opt_C": "The element's period on the periodic table.",
"opt_D": "Column number on periodic tab... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. For a van der Waals gas, $\\pi_T=a / V_{\\mathrm{m}}^2$. Calculate $\\Delta U_{\\mathrm{m}}$ for the isothermal expansion of nitrogen gas from an initial volume of $1.00 \\mathrm{dm}^... | {
"stem_1230": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "150$\\mathrm{J} \\mathrm{mol}^{-1}$",
"opt_B": "90$\\mathrm{J} \\mathrm{mol}^{-1}$",
"opt_C": "170$\\mathrm{J} \\mathrm{mol}^{-1}$",
"opt_D": "1... |
"Problem Statement:\nFor the gas-phase decomposition of acetaldehyde, CH_3CHO\\rightarrow CH_4 + CO, the second-order rate constant changes from 0.105 m^-1 sec^-1 at 759°K to 0.343 m^-1 sec^-1 at 791°K. Calculate the activation energy that this corresponds to. What rate constant would you predict for 836°K?" | {
"stem_1231": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.2407 × 10^5 J/mole, 2.05 m^-1 sec^-1",
"opt_B": "2.5407 × 10^5 J/mole, 1.45 m^-1 sec^-1",
"opt_C": "2.0407 × 10^5 J/mole, 1.65 m^-1 sec^-1",
"... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. The change in the Gibbs energy of a certain constant-pressure process was found to fit the expression $\\Delta G / \\text{J}=-85.40+36.5(T / \\text{K})$. Calculate the value of $\\Delta S$ for the process." | {
"stem_1232": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_B": "-15.0$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_C": "85.40$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_D": "36.5... |
"Problem Statement:\nFind the solution for the equationX=AX+bu;X(0) = X_0 where A=\\vert10\\vert,b=\\vert1\\vert,X_0 =\\vert- 1\\vert, \\vert- 22\\vert\\vert2\\vert\\vert0\\vert u(t) = \\delta(t) (impulse function)." | {
"stem_1234": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-3",
"opt_B": "2",
"opt_C": "0",
"opt_D": "3",
"opt_E": "10",
"opt_F": "-2",
"opt_G": "22",
"opt_H": "1",
"opt_I":... |
"Problem Statement:\nFind the mass of air in a closed chamber measuring 35 ft × 20 ft × 10 ft, when the pressure is 17 lb/in^2 and the temperature is 75°F. Assume air to be an ideal gas." | {
"stem_1235": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "550 lbm",
"opt_B": "650 lbm",
"opt_C": "601lbm",
"opt_D": "500lbm",
"opt_E": "800lbm",
"opt_F": "750 lbm",
"opt_G": "450 lbm",... |
"Problem Statement:\nA sample of a compound known to consist of only carbon, hydrogen, and oxygen is found to have a total mass of 29.05 g. If the mass of the carbon is 18.02 g and the mass of the hydrogen is 3.03 g, what is the empirical formula of the compound?" | {
"stem_1236": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "C2H6O3",
"opt_B": "C2H4O2",
"opt_C": "C2H4O",
"opt_D": "C4H8O2",
"opt_E": "C2H5O",
"opt_F": "C3H6O",
"opt_G": "C3H8O2",
... |
"Problem Statement:\nA penny is to be tossed 3 times. What is the probability there will be 2 heads and 1 tail?" | {
"stem_1237": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3/4",
"opt_B": "1/4",
"opt_C": "1/3",
"opt_D": "1/8",
"opt_E": "1/16",
"opt_F": "1/2",
"opt_G": "7/8",
"opt_H": "3/8",
... |
"Problem Statement:\nFor the dissociation reaction Cl_2 (g) \\rightleftarrows 2Cl (g) at 1200°K, calculate the equilibrium constant K_P by statistical thermodynamics. The equilibriuminternuclear distance is 0.199 nm, the fundamental vibration frequency of CI_2 is atѵ= 565 cm^-1, and the energy of dissociation of Cl_2 i... | {
"stem_1238": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.43 × 10^-4",
"opt_B": "9.81 × 10^-6",
"opt_C": "1.23 × 10^-5",
"opt_D": "2.43 × 10^-5",
"opt_E": "4.56 × 10^-4",
"opt_F": "3.24 × ... |
"Problem Statement:\nWould you expect the mobility of an electrolytic ion to increase or decrease for each of the following? (a) increasing the size of the ion;(b) increasing charge on the ion; (c) increasing temperature and (d) placing it in a solvent of lower viscosity." | {
"stem_1239": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a) Increase, b) Decrease, c) Decrease, d) Decrease",
"opt_B": "a) Increase, b) Decrease, c) Decrease, d) Increase",
"opt_C": "a) Decrease, b) Increase... |
"Problem Statement:\nA gas containing NH_3 is flowing in a tube absorber the inside ofwhich is wetted with water at a rate of 5000 Kg/hr. The absorberconsists of 55 tubes and the average temperature (T)is30°C. Each tube is of 60mm I.D. and 5m long. Calculate the mass transfer coefficient \\beta for ammonia in the liqui... | {
"stem_1240": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "60.67 Kg/m^2 • hr",
"opt_B": "45.67 Kg/m^2 • hr",
"opt_C": "40.67 Kg/m^2 • hr",
"opt_D": "55.67 Kg/m^2 • hr",
"opt_E": "85.67 Kg/m^2 • hr"... |
"Problem Statement:\nNickel (Z = 28, A = 59) has a first ionization energy of 737 kJ/mol and a boiling point of 2913 °C, while Pt (Z = 78, A = 195) has a first ionization energy of 870 kJ/mol and a boiling point of 3825 °C. Which of the following are the most reasonable values of ionization energy and boiling point for... | {
"stem_1241": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "812 kJ/mol and 3100 °C",
"opt_B": "880 kJ/mol and 3600 °C",
"opt_C": "830 kJ/mol and 2700 °C",
"opt_D": "900 kJ/mol and 3000 °C",
"opt_E":... |
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