state unknown | questions unknown |
|---|---|
"Problem Statement:\nOne curie is defined as the amount of material, which is equivalent to one gram of radium, that gives 3.7 × 10^10 nuclear disintegrations per second. The half-life of ^210At is 8.3 hr. How many grains of astatine (At) would equal one curie?" | {
"stem_621": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.1 × 10^-6 g",
"opt_B": "4.2 × 10^-7 g",
"opt_C": "9.8 × 10^-7 g",
"opt_D": "7.71 × 10^-7 g",
"opt_E": "3.3 × 10^-7 g",
"opt_F": "5.... |
"Problem Statement:\nDetermine the molecular weight of a gas if 4.50 g of it occupies 4.0 liters at 950 torr Hg and 182°C. R = .082 liter - atm/mole - °K." | {
"stem_622": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "28.1",
"opt_B": "35.2",
"opt_C": "36.5",
"opt_D": "26.4",
"opt_E": "27.3",
"opt_F": "31.9",
"opt_G": "32.2",
"opt_H": "29... |
"Problem Statement:\nEach resonance form of the nitrate ion, NO3-, has how many sigma and how many pi bonds?" | {
"stem_623": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4 sigma and 1 pi",
"opt_B": "3 sigma and 1 pi",
"opt_C": "0 sigma and 4 pi",
"opt_D": "3 sigma and 2 pi",
"opt_E": "2 sigma and 1 pi",
... |
"Problem Statement:\nA cylinder having a volume of 10 ft^3, has a safe working pressure of 500 psig (gage pressure). What is the maximum operating temperature for the cylinder if it contains 1 lb-mole of propane?" | {
"stem_624": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "220°F",
"opt_B": "200°F",
"opt_C": "234°F",
"opt_D": "180°F",
"opt_E": "250°F",
"opt_F": "210°F",
"opt_G": "190°F",
"opt_... |
"Problem Statement:\nA circular coil of diameter 20 mm is mounted with the plane ofthe coil perpendicular to the direction of a uniform magneticflux density of 100mT. Find the total flux threading thecoil." | {
"stem_625": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "45\\muWb",
"opt_B": "15.7\\muWb",
"opt_C": "10\\muWb",
"opt_D": "60\\muWb",
"opt_E": "31.4\\muWb",
"opt_F": "50\\muWb",
"opt_G"... |
"Problem Statement:\nIt is possible to produce very high magnetic fields over small volumes by special techniques. What would be the resonance frequency of an electron spin in an organic radical in a field of $1.0 \\mathrm{kT}$ ?" | {
"stem_626": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.2 $10^{13} \\mathrm{~Hz}$",
"opt_B": "1.8 $10^{13} \\mathrm{~Hz}$",
"opt_C": "4.0 $10^{13} \\mathrm{~Hz}$",
"opt_D": "3.0 $10^{12} \\mathrm{~Hz... |
"Problem Statement:\nA pipe of diameter 1.1 ft narrows to a diameter of 0.8 ft. Air moves through it at a massflowrateof 6.1 slugs/sec. If at the larger diameter a pressure of 110 psig and a temperature of 75°F exist, calculate the pressure, velocity, density, and temperature in the smaller section." | {
"stem_627": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Pressure = 94.0psia, Velocity = 775 ft/sec, Density = 0.0182 slugs/ft^3, Temperature = 65°F",
"opt_B": "Pressure = 105psia, Velocity = 680 ft/sec, Density = ... |
"Problem Statement:\nExpress the van der Waals parameters $a=0.751 \\mathrm{~atm} \\mathrm{dm}^6 \\mathrm{~mol}^{-2}$ in SI base units." | {
"stem_628": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$8.61 \\times 10^{-3} \\mathrm{kg} \\mathrm{~m}^5 \\mathrm{~s}^{-2} \\mathrm{~mol}^{-2}$",
"opt_B": "$7.61 \\times 10^{-3}$$\\mathrm{kg} \\mathrm{~m}^5 \\mat... |
"Problem Statement:\nThe sodium chloride formation reaction is Na_(_1) + (1/2)Cl_2(g) \\rightleftharpoonsNaCl_(s). The standard heat of formation of sodium chloride is equal to - 98.6 kcal mole^-1 and is temperature independent. When H_2 andHClgas are in equilibrium with liquid sodium and solidNaCl.thepartial pressure ... | {
"stem_629": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.01 × 10^-41 atm",
"opt_B": "2.2 × 10^-46 atm",
"opt_C": "5.40 × 10^-43 atm",
"opt_D": "6.74 × 10^22 atm",
"opt_E": "2.78 × 10^-47 atm",
... |
"Problem Statement:\nThe flame test for barium involves placing a barium-containing compound in a Bunsen burner flame. The barium compound then decomposes to give barium atoms which sub-sequently undergo an electronic transition of energy 3.62 × 10^-12 erg. What color flame would this give rise to?" | {
"stem_630": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "White",
"opt_B": "Pink",
"opt_C": "Yellow",
"opt_D": "Red",
"opt_E": "Blue",
"opt_F": "Violet",
"opt_G": "Purple",
"opt_H... |
"Problem Statement:\nAn ester is made by reacting" | {
"stem_631": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "two different acids",
"opt_B": "an amine and an acid",
"opt_C": "an alcohol and an acid",
"opt_D": "an acid and a ketone",
"opt_E": "a keto... |
"Problem Statement:\nThe enthalpy of fusion of mercury is $2.292 \\mathrm{~kJ} \\mathrm{~mol}^{-1}$, and its normal freezing point is $234.3 \\mathrm{~K}$ with a change in molar volume of $+0.517 \\mathrm{~cm}^3 \\mathrm{~mol}^{-1}$ on melting. At what temperature will the bottom of a column of mercury (density $13.6 \... | {
"stem_632": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "234.0 $ \\mathrm{~K}$",
"opt_B": "234.5 $ \\mathrm{~K}$",
"opt_C": "233.8 $ \\mathrm{~K}$",
"opt_D": "235.2 $ \\mathrm{~K}$",
"opt_E": "235... |
"Problem Statement:\nA six-pole, 30-slot dccommutatorgenerator has alapwound armature winding. The armature constant, K_a is 9.55. The generator is operated with a separately excited field such that the field flux per pole is 0.04weber/pole. The generator is driven at a speed of 3000 rpm. The no load armature voltage i... | {
"stem_633": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Backemf: 155 V, Armature Current: 115.9 A, Armature Voltage: 154.8 V",
"opt_B": "Backemf: 140 V, Armature Current: 160.9 A, Armature Voltage: 139.8 V",
... |
"Problem Statement:\nA chemist dissolvesPbSin water . TheK_spis found to be 1 × 10-^28 . What is themolarityof each ion in solution ?" | {
"stem_634": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5 × 10-^15 M",
"opt_B": "1 × 10-^7 M",
"opt_C": "1 × 10-^14 M",
"opt_D": "4 × 10-^14 M",
"opt_E": "3 × 10-^28 M",
"opt_F": "2 × 10-^1... |
"Problem Statement:\nWhat will be the number of lamps, each having 300 lumens, required to obtain an average illuminance of 50 lux on a 4m * 3m rectangular room?" | {
"stem_635": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6",
"opt_B": "1",
"opt_C": "2",
"opt_D": "5",
"opt_E": "7",
"opt_F": "3",
"opt_G": "9",
"opt_H": "10",
"opt_I": "8"... |
"Problem Statement:\nThe 2,300-volt primary winding of a 60-cycle transformer has 4,800 turns. Calculate: (a) the mutual flux\\textphi_m; (b) the number of turns in the 230-volt secondary winding; (c) the maximum flux in the core of a 60-cycle transformer that has 1320 primary turns and 46 secondary turns is 3.76 × 10^... | {
"stem_636": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 1.7 × 10^5maxwells, (b) 520 turns, (c) 13,400 volts, 510 volts",
"opt_B": "(a) 1.9 × 10^5maxwells, (b) 470 turns, (c) 13,800 volts, 440 volts",
"op... |
"Problem Statement:\nDescribe the charges required to obtain the field D= {r + (1 / r^2)}U (r_0 - r)1_r" | {
"stem_637": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "No uniform charge density, a surface charge of - [r_0 + (1/r_0)] on the sphere of radius r = r_0, and an additional point charge of 4π coulombs at the origin.",
... |
"Problem Statement:\nOne of the methods for the synthesis of dilute acetic acid from ethanol is the use ofacetobacter. A dilute solution of ethanol is allowed to trickle down overbeechwoodshavings that have been inoculated with a culture of the bacteria. Air is forced through the vat countercurrent to the alcohol flow.... | {
"stem_638": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 89.1 Kcal/mole",
"opt_B": "- 65.5 Kcal/mole",
"opt_C": "- 120.5 Kcal/mole",
"opt_D": "- 20.3 Kcal/mole",
"opt_E": "- 150.9 Kcal/mole",
... |
"Problem Statement:\nNeutral atoms of chlorine are bombarded by high-energy photons, causing the ejection of electrons from the various filled subshells. Electrons originally from which subshell would have the highest velocity after being ejected?" | {
"stem_639": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1s",
"opt_B": "5p",
"opt_C": "4d",
"opt_D": "2s",
"opt_E": "2p",
"opt_F": "4s",
"opt_G": "5s",
"opt_H": "4p",
"opt_... |
"Problem Statement:\nWhich of the following is an n-type semiconductor?" | {
"stem_640": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Silicon",
"opt_B": "Boron-doped silicon",
"opt_C": "Pure germanium",
"opt_D": "Arsenic-doped silicon",
"opt_E": "Indium Phosphide",
"... |
"Problem Statement:\nAn electron in a three-dimensional rectangular box with dimensions of $5.00 Å, 3.00 Å$, and $6.00 Å$ makes a radiative transition from the lowest-lying excited state to the ground state. Calculate the frequency of the photon emitted." | {
"stem_641": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.47 $10^{14} \\mathrm{~s}^{-1}$",
"opt_B": "7.58 $10^{14} \\mathrm{~s}^{-1}$",
"opt_C": "8.44 $10^{14} \\mathrm{~s}^{-1}$",
"opt_D": "7.99 $10^{... |
"Problem Statement:\nSimplify the quotient [{2x^0} / {(2x)^0}]." | {
"stem_642": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4",
"opt_B": "0",
"opt_C": "x^2",
"opt_D": "2x",
"opt_E": "1/x",
"opt_F": "2/x",
"opt_G": "2",
"opt_H": "0.5",
"opt... |
"Problem Statement:\nConsider the process H_2O(solution,25°C) = H_2O(pure,25°C). If the solution isNaClof concentration m and has an osmo-tic pressure of 2.0atmat 25°C, calculate ∆G_298, the free energy change for the process." | {
"stem_643": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "36 cc -atm",
"opt_B": "72 cc -atm",
"opt_C": "90 cc-atm",
"opt_D": "18 cc -atm",
"opt_E": "24 cc-atm",
"opt_F": "54 cc -atm",
"... |
"Problem Statement:\nA medium double-ply flat leather belt is used on a 15 in. diameter pulley mounted on the shaft of a squirrel cage, induction motor rated at 25 hp and 1500 rpm, located in a dusty surrounding. Calculate the width of the belt." | {
"stem_644": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5 in. belt",
"opt_B": "5(1/2) in. belt",
"opt_C": "7 in. belt",
"opt_D": "4 in. belt",
"opt_E": "5(3/4) in. belt",
"opt_F": "8 in. be... |
"Problem Statement:\nA hollow shaft, 5 in. OD is used instead of a solid shaft of 3.8 in. diameter having the sametorsionalstrength. Calculate the inside diameter of the hollow shaft and the percentage by weight of the material saved." | {
"stem_645": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.4 in, 58%",
"opt_B": "4.5 in, 60%",
"opt_C": "3.9 in, 50%",
"opt_D": "4.7 in, 61%",
"opt_E": "4.0 in, 56%",
"opt_F": "4.2 in, 55%",... |
"Problem Statement:\nWhen the following reaction F_2 + Cl_2 \\ding{217} 2ClF occurs, 26 Kcal / mole are released. The bond energies of F_2 and CI_2 are 37 and 58 Kcal / mole, respectively. Calculate the dissociation energy of theClFbond." | {
"stem_646": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "45 Kcal",
"opt_B": "49 Kcal",
"opt_C": "37 Kcal",
"opt_D": "53 Kcal",
"opt_E": "65 Kcal",
"opt_F": "58 Kcal",
"opt_G": "72.5 Kc... |
"Problem Statement:\nWhich of the following geometries corresponds to a substance that has five sigma bonds and one nonbonding pair of electrons?" | {
"stem_648": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Bent",
"opt_B": "Trigonal pyramid",
"opt_C": "T-shaped",
"opt_D": "Trigonal planar",
"opt_E": "Trigonal bipyramidal",
"opt_F": "Linea... |
"Problem Statement:\nCalculate spin density on the central carbon atom of malonic acid radical (•CH(COOH)2) if the hyperfine value for the α-hydrogen atom is 21.9 G." | {
"stem_649": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.85",
"opt_B": "0.15",
"opt_C": "0.45",
"opt_D": "0.05",
"opt_E": "0.95",
"opt_F": "0.55",
"opt_G": "0.35",
"opt_H": "0.... |
"Problem Statement:\nThe most massive subatomic particle is the" | {
"stem_650": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "positron",
"opt_B": "quark",
"opt_C": "electron",
"opt_D": "muon",
"opt_E": "beta particle",
"opt_F": "photon",
"opt_G": "neutr... |
"Problem Statement:\nWhen an inch of rain falls on New York, it results in a rainfall of 19.8 × 10^9 liters. If the temperature drops to 0°C after this rainfall and the density of rain (H_2O) is 1.00 g/cm_3, how much heat is released when this quantity of water freezes? You may assume ∆H_fus= 1.4 Kcal mole^-1." | {
"stem_651": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.76 Kcal",
"opt_B": "0.98 Kcal",
"opt_C": "3.08 Kcal",
"opt_D": "2.8 Kcal",
"opt_E": "1.54 Kcal",
"opt_F": "0.7 Kcal",
"opt_G"... |
"Problem Statement:\nFor the general reaction A + B \\rightarrow C + D, what is the effect on the number of collisions between A and B of (a) tripling the concentration of each, (b) quadrupling the concentration of each?" | {
"stem_652": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "18 times and 32 times",
"opt_B": "6 times and 12 times",
"opt_C": "6 times and 8 times",
"opt_D": "9 times and 16 times",
"opt_E": "15 time... |
"Problem Statement:\nWhat volume of hydrogen at STP is produced as sulfuric acid acts on 120 g. of metallic calcium. Equation for the re-action is Ca + H_2 SO_4 \\rightarrow CaSO_4 + H_2" | {
"stem_653": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "33.6 liters",
"opt_B": "56.0 liters",
"opt_C": "3.00 liters",
"opt_D": "84.0 liters",
"opt_E": "67.2 liters",
"opt_F": "44.8 liters",... |
"Problem Statement:\nAt 760torr, 100 grains of benzene is vaporized at its boiling At 760torr, 100 grains of benzene is vaporized at its boiling point of 80.2°C. Calculate a)W_rev, b) q, c) \\DeltaH, d) \\DeltaE. The c) \\DeltaH, d) \\DeltaE. The heat of vaporization is 94.4 (cal / g)." | {
"stem_654": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "W_rev= - 898 cal, q = 9440 cal, \\DeltaH = 9440 cal, \\DeltaE = 8542 cal",
"opt_B": "W_rev= - 700 cal, q = 9400 cal, \\DeltaH = 9400 cal, \\DeltaE = 8500 cal... |
"Problem Statement:\nIt is desired to remove water from an air-water mixture which contains35 percent water by volume. The mixture diffuses into a section of still air 0.2 in. in length, after which it is completely removed from the mixture by absorption. At the absorption plane, the water concentration is small enough... | {
"stem_655": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.07 lb / mole / ft^2-hr",
"opt_B": "0.1 lb / mole / ft^2-hr",
"opt_C": "0.11 lb / mole / ft^2-hr",
"opt_D": "0.09 lb / mole / ft^2-hr",
"o... |
"Problem Statement:\nCalculate the average velocity ofCaesiumatoms forming an atomic beam emerging from a small hole of a wall of an oven. The oven contains a sample ofCaesiumand is heated to 500°C." | {
"stem_656": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "125 m - s^-1",
"opt_B": "175.5 m - s^-1",
"opt_C": "300 m - s^-1",
"opt_D": "100 m - s^-1",
"opt_E": "160 m - s^-1",
"opt_F": "225 m ... |
"Problem Statement:\nTwo narrow slits are illuminated with red light of wavelength $694.3 \\mathrm{~nm}$ from a laser, producing a set of evenly placed bright bands on a screen located $3.00 \\mathrm{~m}$ beyond the slits. If the distance between the bands is $1.50 \\mathrm{~cm}$, then what is the distance between the ... | {
"stem_657": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.300mm",
"opt_B": "0.250mm",
"opt_C": "0.150mm",
"opt_D": "0.220mm",
"opt_E": "0.100mm",
"opt_F": "0.200mm",
"opt_G": "0.120mm... |
"Problem Statement:\nThe wings of anaeroplanehave a total plan area of 320 ft^2 The plane weighs 18,000lbf, and the normal speed in level flightis 230 ft/sec when the atmospheric density is 0.076lbm/ft^3. (a) If thetailplanecontributes 5 percent of thetotal liftforce, whatmust be the lift coefficient of the wings at th... | {
"stem_658": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.85, 1937lbf",
"opt_B": "0.80, 1987lbf",
"opt_C": "0.95, 1837lbf",
"opt_D": "0.70, 2087lbf",
"opt_E": "0.78, 2032lbf",
"opt_F": "1.0... |
"Problem Statement:\nA voltage of 25\\angle45° Vis applied to an impedance of 4 - j2\\Omega. Determine the current in both rectangular and polar forms." | {
"stem_659": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.5∠45°A in polar form and 2.5 + j2.5A in rectangular form",
"opt_B": "2.5√5∠71.6°A in polar form and 1.25√2 + j3.75√2A in rectangular form",
"opt_C": ... |
"Problem Statement:\nWhat is the ratio of line intensities in the EPR spectrum of the t-Bu radical (CH3)3C•?" | {
"stem_660": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1:10:45:120:210:120:45:10:1",
"opt_B": "1:19:36:84:126:126:84:36:19:1",
"opt_C": "1:6:15:20:15:6:1",
"opt_D": "1:11:55:165:330:165:55:11:1",
... |
"Problem Statement:\nFind the current that will flow in a series circuit contain-ing a 5-k\\Omega resistor, a 470-\\rhoF capacitor, a 150-mH inductor, and a 0.001\\muF capacitor if the exciting voltage is 65V at 25-kHz." | {
"stem_661": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9.5\\angle- 25.0° mA",
"opt_B": "12.5\\angle- 36.3°mA",
"opt_C": "8.5\\angle- 36.3°mA",
"opt_D": "10.5\\angle- 36.3°mA",
"opt_E": "8.0\\ang... |
"Problem Statement:\nTwo pounds of oxygen undergo a polytropic process in which they are compressed from an initial state of 14 psia and 70°F, to a final pressure of 98 psia along a path for which PV^1.3 = C. Using the polytropic equation calculate, (a) the heat transferred, and (b) the change of entropy for this proce... | {
"stem_662": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) - 34.2 Btu, (b) - 0.0166 Btu/°R",
"opt_B": "(a) - 36.2 Btu, (b) + 0.0034 Btu/°R",
"opt_C": "(a) - 28.2 Btu, (b) - 0.0666 Btu/°R",
"opt_D": "(... |
"Problem Statement:\nAir at 170°F is transported through a rectangular duct 3 in. high and 6 in. wide. The duct is 18 ft. long, and the walls are maintained at a temperature of 65°F. As-suming an air flow of 25 lbm/hr, determine the bulk mean temperature of the air as it leaves the duct." | {
"stem_663": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "110°F",
"opt_B": "125°F",
"opt_C": "133°F",
"opt_D": "128°F",
"opt_E": "115°F",
"opt_F": "135°F",
"opt_G": "140°F",
"opt_... |
"Problem Statement:\nNitrous acid, HNO2, has a pKa value of 3.3. If a solution of nitrous acid is found to have a pH of 4.2, what can be said about the concentration of the conjugate acid/base pair found in solution?" | {
"stem_664": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "[HNO2] > [NO2-]",
"opt_B": "[H2NO2+] < [NO2-]",
"opt_C": "[NO2-] < [H2NO2+]",
"opt_D": "[H2NO2+] > [NO2-]",
"opt_E": "[NO2-] > [HNO2]",
... |
"Problem Statement:\nCF_4, is used as a low-temperature refrigerant under the name Freon-14. Its normal boiling point is - 127.8°C and its heat of vaporization is 12.62 kJ/mole. At what pressure should you pump liquid Freon-14 to set a tem-perature of -135°C?" | {
"stem_665": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.20 atm",
"opt_B": "0.65 atm",
"opt_C": "0.45 atm",
"opt_D": "0.75 atm",
"opt_E": "0.85 atm",
"opt_F": "0.30 atm",
"opt_G": "0... |
"Problem Statement:\n2 moles of an ideal gas are expanded reversibly and isothermally at 0°C from 1 atm. Calculate the final volume occupied by the gas if the heat absorbed during the pro-cess is q = 750 cal. The external pressure over the sys-tem is 1 atm." | {
"stem_666": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "80.5 liters",
"opt_B": "60.4 liters",
"opt_C": "100.3 liters",
"opt_D": "50.2 liters",
"opt_E": "66.7 liters",
"opt_F": "45.0 liters"... |
"Problem Statement:\nDiethylanilineC_6H_5N(C_2H_5)_2 at 20°C (density \\rho = 0.935 g/cm^3 and viscosity \\mu = 1.95 CP) is flowing through a horizontal smooth pipe of inside diameter 3 cm. If the volumetric flow rate is 66 liters/min, determine the pressure gradient." | {
"stem_667": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.116 mm of Hg/cm length",
"opt_B": "0.055 mm of Hg/cm length",
"opt_C": "0.048 mm of Hg/cm length",
"opt_D": "0.101 mm of Hg/cm length",
"... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. A chemical reaction takes place in a container of cross-sectional area $100 \\mathrm{~cm}^2$. As a result of the reaction, a piston is pushed out through $10 \\mathrm{~cm}$ against an... | {
"stem_668": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$-2.0 \\times 10^2$$\\mathrm{J}$",
"opt_B": "$-3.0 \\times 10^2 \\mathrm{J}$",
"opt_C": "$-1.5 \\times 10^2$$\\mathrm{J}$",
"opt_D": "$0.5 \\time... |
"Problem Statement:\nA certain precision 1-\\muF capacitor has very high resistance material used between its conducting surfaces. The capacitor is charged to 1V at t = 0 and disconnected from the source. It is found that the vol-tage drops to 0.9V in 100 hr. Find the insulation resistance." | {
"stem_669": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.42 × 10^12 Ω",
"opt_B": "1.00 × 10^12 Ω",
"opt_C": "3.42 × 10^12 Ω",
"opt_D": "5.00 × 10^12 Ω",
"opt_E": "2.42 × 10^12 Ω",
"opt_F":... |
"Problem Statement:\nThe vapour pressure of benzene is $53.3 \\mathrm{kPa}$ at $60.6^{\\circ} \\mathrm{C}$, but it fell to $51.5 \\mathrm{kPa}$ when $19.0 \\mathrm{~g}$ of an non-volatile organic compound was dissolved in $500 \\mathrm{~g}$ of benzene. Calculate the molar mass of the compound." | {
"stem_670": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "105 $\\mathrm{~g} \\mathrm{~mol}^{-1}$",
"opt_B": "90 $\\mathrm{~g} \\mathrm{~mol}^{-1}$",
"opt_C": "75 $\\mathrm{~g} \\mathrm{~mol}^{-1}$",
"opt... |
"Problem Statement:\nWhy does theelectronegativityof the halogens decrease with increasing atomic number?" | {
"stem_671": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Ionization potentials decrease with increasing atomic number",
"opt_B": "The atomic radius decreases with increasing atomic number, which increases electrone... |
"Problem Statement:\nFour identical alternators each are rated for 20 MVA, 11 KV having a subtransient reactance of 16% are working in parallel. The short circuit level at the busbar is" | {
"stem_672": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "600 MVA",
"opt_B": "800 MVA",
"opt_C": "125 MVA",
"opt_D": "500 MVA",
"opt_E": "700 MVA",
"opt_F": "300 MVA",
"opt_G": "200 MVA... |
"Problem Statement:\nSteam condenses on the outside of a vertical cylinder of length 2.54 cm. and diameter 30.5 cm. The saturated steam is at a pressure of 68.9 kPa. The surface temperature of the cylinder is maintained at 86°C. Assuming laminar flow, calculate the average coefficient of heat transfer." | {
"stem_673": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "13,500 W/m^2-C",
"opt_B": "15,200 W/m^2-C",
"opt_C": "12,850 W/m^2-C",
"opt_D": "12,500 W/m^2-C",
"opt_E": "10,500 W/m^2-C",
"opt_F":... |
"Problem Statement:\nA solution of 10.0 g of HF in 500 g H_2O freezes at - 1.98°C. Calculate the degree of ionization of HF. (M.W. HF = 20.0 The Freezing point depression of H_2O is 1.86°.)" | {
"stem_674": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2%",
"opt_B": "16%",
"opt_C": "6%",
"opt_D": "10%",
"opt_E": "14%",
"opt_F": "12%",
"opt_G": "8%",
"opt_H": "20%",
... |
"Problem Statement:\nWhat is the equilibrium composition of a mixture ofcarbon monoxide, carbon dioxide, and molecular oxygen at 3000°K and30psia? Assume the mixture contains 5 atoms of oxygenper atom of carbon." | {
"stem_675": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "x_CO= 0.099, x_(_O)2 = 0.60, x_C_(_O)2 = 0.30",
"opt_B": "x_CO= 0.081, x_(_O)2 = 0.65, x_C_(_O)2 = 0.26",
"opt_C": "x_CO= 0.087, x_(_O)2 = 0.62, x_C_(_... |
"Problem Statement:\nThe flow through a sluice gate set into a dam is to be investigated by building a model of the dam and sluice at 1 : 20 scale. Calculate the head at which the model should work to give conditions corresponding to a prototype head of 20 meters. If the discharge from the model under this correspondin... | {
"stem_676": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1200 m^3/s",
"opt_B": "550 m^3/s",
"opt_C": "500 m^3/s",
"opt_D": "750 m^3/s",
"opt_E": "894 m^3/s",
"opt_F": "800 m^3/s",
"opt... |
"Problem Statement:\nFind the pH of a solution of 0.3 M acetic acid. Assume a K_a value of 1.8 × 10^-5." | {
"stem_677": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.00",
"opt_B": "2.63",
"opt_C": "2.87",
"opt_D": "3.00",
"opt_E": "2.20",
"opt_F": "2.35",
"opt_G": "4.52",
"opt_H": "3.... |
"Problem Statement:\nEvaluate \\nablaf at the point (2, 3,5). The scalar field f is given by f(x_1, x_2, x_3) = 2 sin x_1 - x_1^2x_2x_3 + x_1e^(x)2(1)" | {
"stem_678": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(40.74, -20.17, 12)",
"opt_B": "(- 30.74, 10.17, - 2)",
"opt_C": "(0, 40.34, 24)",
"opt_D": "(30.74, 10.17, 2)",
"opt_E": "(40.74, 20.17, -... |
"Problem Statement:\nWhat will be the final concentration of I^- in a solution made by mixing 35.0 ml of 0.100 M NaHSO_3 with 10.0 ml of 0.100 M KIO_3? Assume volumes are additive." | {
"stem_679": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.0 × 10^-4 moles",
"opt_B": "1.0 ×10^-3 moles",
"opt_C": "1.5 ×10^-3 moles",
"opt_D": "3.0 × 10^-3 moles",
"opt_E": "7.0 × 10^-4 moles",
... |
"Problem Statement:\nDetermine the de Broglie wavelength of an electron (mass = 9.11 × 10^-28 g) having a kinetic energy of 100eV." | {
"stem_680": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.326 Å",
"opt_B": "0.426 Å",
"opt_C": "1.626 Å",
"opt_D": "1.026 Å",
"opt_E": "0.726 Å",
"opt_F": "2.226 Å",
"opt_G": "1.226 Å... |
"Problem Statement:\nOil is flowing at 6gal/min, inside a pipe of (1/2) in. inside diameter. If the flow is laminar, determine (a)thepressure lost per foot length (b)thevelocity at the center of the pipe (c)theshear stress at the wall (d)theradial position of the point at which the flow velocity is equalto the average ... | {
"stem_681": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 1250lbf/ft^2 per foot, (b) 21 ft/sec, (c) 12.5lbf/ft^2, (d) 0.20 in.",
"opt_B": "(a) 1100lbf/ft^2 per foot, (b) 19 ft/sec, (c) 11lbf/ft^2, (d) 0.17 in.",... |
"Problem Statement:\nCalculate the composition in weight percent of a mixture of 5.00 g of helium and argon occupying a volume of 10.0 liters at 25°C and 1.00 atm." | {
"stem_682": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Weight percent He = 35%, Weight percent Ar = 65%",
"opt_B": "Weight percent He = 50%, Weight percent Ar = 50%",
"opt_C": "Weight percent He = 10%, Weig... |
"Problem Statement:\nIf the temperature of the air in a chemistry laboratory is ambient (77°F), what is the equivalent scale in Kelvin?" | {
"stem_683": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "310 Kelvin",
"opt_B": "315 Kelvin",
"opt_C": "320 Kelvin",
"opt_D": "277 Kelvin",
"opt_E": "284 Kelvin",
"opt_F": "298 Kelvin",
... |
"Problem Statement:\nA card is drawn at random from a deck of cards. Find the probability that at least one of the following three events will occur: Event A : a heart is drawn. Event B: a card which is not a face card is drawn. Event C: the number of spots (if any) on the drawn card is divisible by 3." | {
"stem_684": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "40/52",
"opt_B": "31/52",
"opt_C": "33/52",
"opt_D": "44/52",
"opt_E": "45/52",
"opt_F": "43/52",
"opt_G": "30/52",
"opt_... |
"Problem Statement:\nA friction cone clutch operates at 250 rpm and delivers 25 hp. Evaluate the required cone surface width if the clutch angleis 12°, the mean radius of the cone is 7(1 / 2) in., the maximumpermissible pressure is 30 psi and the coefficient offriction is 0.40." | {
"stem_685": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.0 in",
"opt_B": "2.5 in",
"opt_C": "2.8 in",
"opt_D": "1.2 in",
"opt_E": "1.8 in",
"opt_F": "3.0 in",
"opt_G": "1.0 in",
... |
"Problem Statement:\nSolvents A and B form an ideal solution. Solvent A has a vapor pressure of 345 torr at room temperature. At the same temperature, solvent B has a vapor pressure of 213 torr. What is the vapor pressure of a mixture where the mole fraction of A is 0.285?" | {
"stem_686": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "345 torr",
"opt_B": "258 torr",
"opt_C": "300 torr",
"opt_D": "213 torr",
"opt_E": "251 torr",
"opt_F": "320 torr",
"opt_G": "2... |
"Problem Statement:\nTwo electrolytic cells were placed in series. One was composed of AgNO_3 and the other of CuSO_4,. Electricity was passed through the cells until 1.273g of Ag had been deposited. How much copper was deposited at the same time?" | {
"stem_687": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.273g",
"opt_B": "0.159g",
"opt_C": "1.000g",
"opt_D": "1.273g",
"opt_E": "0.800g",
"opt_F": "2.3749g",
"opt_G": "0.3749g",
... |
"Problem Statement:\nFor a short dipole antenna, evaluate the maximum effective apertureA_em." | {
"stem_688": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.119 wavelength",
"opt_B": "0.130 wavelength",
"opt_C": "0.112 wavelength^2",
"opt_D": "0.100 wavelength",
"opt_E": "0.123 wavelength^2",
... |
"Problem Statement:\n5 model of a submerged buoy. If the maximum water currents to be expected are 3 fps, what air speed should be used to insure similarity of the flow pattern? To what prototype drag would a model drag of 5.0 lb correspond?" | {
"stem_689": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "200 fps, 25 lb",
"opt_B": "220 fps, 30 lb",
"opt_C": "175 fps, 19 lb",
"opt_D": "165 fps, 18 lb",
"opt_E": "190 fps, 21 lb",
"opt_F":... |
"Problem Statement:\nFind the energy stored in an inductor from t = 0 to t = 1 whose \\textphi -icharacteristic is given by \\textphi (t) = 1/3i^3 (t) and the current through it is given by i (t) = 2 sin t." | {
"stem_690": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.00 J",
"opt_B": "0.75 J",
"opt_C": "1.50 J",
"opt_D": "4.00 J",
"opt_E": "2.50 J",
"opt_F": "3.00 J",
"opt_G": "1.25 J",
... |
"Problem Statement:\n0.25 mol of a weak, monoprotic acid is dissolved in 0.25 L of distilled water. The pH was then measured as 4.26. What is the pKa of this weak acid?" | {
"stem_692": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.26",
"opt_B": "3.66",
"opt_C": "9.26",
"opt_D": "2.66",
"opt_E": "10.52",
"opt_F": "7.52",
"opt_G": "6.52",
"opt_H": "7... |
"Problem Statement:\nWhich of the following does not contain oxygen?" | {
"stem_693": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "An alcohol",
"opt_B": "An ether",
"opt_C": "An amide",
"opt_D": "An aldehyde",
"opt_E": "An alkane",
"opt_F": "A ketone",
"opt_... |
"Problem Statement:\nThe gauge pressure in an automobile tire when measured during winter at 32°F was 30 pounds per square inch (psi). The same tire was used during the summer, and its temperature rose to 122°F. If we assume that the volume of the tire did not change, and no air leaked out between winter and summer, wh... | {
"stem_694": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "40.1 psig",
"opt_B": "44.7 psig",
"opt_C": "52.9 psig",
"opt_D": "30 psig",
"opt_E": "35.5 psig",
"opt_F": "50.4 psig",
"opt_G"... |
"Problem Statement:\nA cylindrical vessel of diameter 7.0 ft is filled to 2.5 ft below theopen top with pure n-butanol. Inside the tank, the air is stationary, but currents above it maintain a small enough concentrationof n-butanolthere to allow it to be neglected. The system is at 77.0°C and 1 atm. The diffusivity of ... | {
"stem_695": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.508 × 10^-3 lb moles/hr",
"opt_B": "2.08 × 10^-3 lb moles/hr",
"opt_C": "1.58 × 10^-3 lb moles/hr",
"opt_D": "6.08 × 10^-3 lb moles/hr",
... |
"Problem Statement:\nWhich net ionic equation below represents a possible reaction that takes place when a strip of magnesium metal is oxidized by a solution of chromium (III) nitrate?" | {
"stem_696": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4Mg(s) + 3Cr(NO3)3(aq) → 4Mg2+(aq) + 3Cr(s) + 3NO3-(aq)",
"opt_B": "3Mg(s) + 2Cr(NO3)3(aq) → 3Mg2+(aq) + 2Cr(s) + NO3-(aq)",
"opt_C": "2Mg(s) + Cr3+ → ... |
"Problem Statement:\n(i) How much energy is used by a 1,500-watt heater in 8 hr? (ii) A 12-kw load is supplied from a line that has a resistance of 0.1 ohm in each conductor. Find the line loss in watts when the load is supplied at (a) 120 volts and (b) 240 volts." | {
"stem_697": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9kwhr, 1440 watts, 720 watts",
"opt_B": "14kwhr, 2100 watts, 300 watts",
"opt_C": "11kwhr, 1800 watts, 450 watts",
"opt_D": "15kwhr, 2500 watts, ... |
"Problem Statement:\nCompare the bond order of He_2 and He_2^+." | {
"stem_698": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Bond order of He_2 is 0 and He_2^+ is 0.5",
"opt_B": "Bond order of He_2 is 0.5 and He_2^+ is 0",
"opt_C": "Bond order of He_2 and He_2^+ is 0.5",
... |
"Problem Statement:\nIf the exhaust gases contain 0.22% of NO by weight, calculate (i) The minimum value of \\delta allowable if a NO reduction rate of0.032 lb/ft^2hr is to be achieved. (ii) The corresponding minimum allowable value of K. Use the following data. The gases are at: T = 1200°F P = 18.2psia Average molecul... | {
"stem_699": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\delta = 0.0028 ft, K = 55 lb/ft^2hr",
"opt_B": "\\delta = 0.0040 ft, K = 45 lb/ft^2hr",
"opt_C": "\\delta = 0.0050 ft, K = 60 lb/ft^2hr",
"opt_... |
"Problem Statement:\nApproximate the rate at which water diffuses into dry air at 1atmand 25°C from the bottom of a test tube 12 mm in diameter and 16 cm in length." | {
"stem_700": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.184 × 10^-10 kg/sec",
"opt_B": "4.184 × 10^-11 kg/sec",
"opt_C": "5.184 × 10^-10 kg/sec",
"opt_D": "5.184 × 10^-11 kg/sec",
"opt_E": "3.9... |
"Problem Statement:\nFor $\\mathrm{NaCl}, R_e=2.36 Å$. The ionization energy of $\\mathrm{Na}$ is $5.14 \\mathrm{eV}$, and the electron affinity of $\\mathrm{Cl}$ is $3.61 \\mathrm{eV}$. Use the simple model of $\\mathrm{NaCl}$ as a pair of spherical ions in contact to estimate $D_e$. [One debye (D) is $3.33564 \\times... | {
"stem_701": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.12 eV",
"opt_B": "2.98 eV",
"opt_C": "3.89 $\\mathrm{eV}$",
"opt_D": "4.56 $\\mathrm{eV}$",
"opt_E": "5.23 $\\mathrm{eV}$",
"opt_F"... |
"Problem Statement:\nA gas of molecular weight 58 was found to contain 82.8% C and 17.2% H. What is the molecular formula of this com-pound?" | {
"stem_702": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "C_3H_6",
"opt_B": "C_5H_10",
"opt_C": "C_4H_8",
"opt_D": "C_4H_9",
"opt_E": "C_3H_8",
"opt_F": "C_2H_5",
"opt_G": "C_4H_10",
... |
"Problem Statement:\nWhen a particle of mass $9.1 \\times 10^{-28} \\mathrm{~g}$ in a certain one-dimensional box goes from the $n=5$ level to the $n=2$ level, it emits a photon of frequency $6.0 \\times 10^{14} \\mathrm{~s}^{-1}$. Find the length of the box." | {
"stem_703": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.7 $\\mathrm{~nm}$",
"opt_B": "2.0 $\\mathrm{~nm}$",
"opt_C": "1.8$\\mathrm{~nm}$",
"opt_D": "1.2 $\\mathrm{~nm}$",
"opt_E": "3.0 $\\mathr... |
"Problem Statement:\nDiscuss the separate half-reactions and net cell reaction that occur in a flashlight battery. If you have a current of .01 amp, how long can the current flow if the battery contains 25.0g of a paste of MnO_2 , NH_4Cl, and ZnCl_2 of which 20% is MnO_2 ?" | {
"stem_704": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "250 hours",
"opt_B": "165 hours",
"opt_C": "100 hours",
"opt_D": "154 hours",
"opt_E": "120 hours",
"opt_F": "180 hours",
"opt_... |
"Problem Statement:\nDetermine the mass of water to which 293 g ofNaCl (formula weight = 58.5 g/mole) is added to obtain a 0.25 molalsolution." | {
"stem_705": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10 kg H_2O",
"opt_B": "35 kg H_2O",
"opt_C": "20 kg H_2O",
"opt_D": "25 kg H_2O",
"opt_E": "15 kg H_2O",
"opt_F": "5 kg H_2O",
... |
"Problem Statement:\nCompute the stresses in a saw as it goes over the driving pulley. The saw is made up of alloy steel, E = 30 × 10^6 psi, thickness = (1 / 32\"). The pulley has a diameter of 15 in." | {
"stem_706": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25,000 psi",
"opt_B": "15,000 psi",
"opt_C": "30,000 psi",
"opt_D": "7,500 psi",
"opt_E": "62,500 psi",
"opt_F": "40,000 psi",
... |
"Problem Statement:\n200 stg ft^3/min of ethane at 70°F (C_p = 13.3 Btu/lb-mol F, \\gamma = specific heat ratio = 1.22) is compressed from 11 psia to 1,000 psia in a three stage reciprocating compressor of 85 percent mechanical efficiency. Cooling water is used in the intercoolers and aftercooler to bring the compresse... | {
"stem_707": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "22.65°F, 85 hp",
"opt_B": "19.45°F, 82 hp",
"opt_C": "25.30°F, 90 hp",
"opt_D": "17.50°F, 65 hp",
"opt_E": "21.70°F, 95 hp",
"opt_F":... |
"Problem Statement:\nCalculate the pH of a 0.25 M solution of the salt ethyl-amine hydrochloride, C_2H_5NH_3CI. The dissociation constant for the base, ethylamine (C_2H_5NH_2) is K_b = 5.6 × 10^-4." | {
"stem_708": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.2",
"opt_B": "5.2",
"opt_C": "4.5",
"opt_D": "5.7",
"opt_E": "7.0",
"opt_F": "6.5",
"opt_G": "5.6",
"opt_H": "6.2",
... |
"Problem Statement:\nThe NOF molecule is an asymmetric rotor with rotational constants $3.1752 \\mathrm{~cm}^{-1}, 0.3951 \\mathrm{~cm}^{-1}$, and $0.3505 \\mathrm{~cm}^{-1}$. Calculate the rotational partition function of the molecule at $25^{\\circ} \\mathrm{C}$." | {
"stem_710": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.89$10^3$",
"opt_B": "7.97$10^3$",
"opt_C": "8.72$10^3$",
"opt_D": "8.88$10^3$",
"opt_E": "5.30$10^3$",
"opt_F": "7.50$10^3$",
... |
"Problem Statement:\nPotassium-40 is a minor isotope found in naturally occurring potassium. It is radioactive and can be detected on simple radiation counters. How many protons, neutrons, and electrons does potassium-40 have when it is part of K2SO4?" | {
"stem_711": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20 neutrons, 20 protons, 19 electrons",
"opt_B": "21 neutrons, 20 protons, 19 electrons",
"opt_C": "20 neutrons, 18 protons, 19 electrons",
"opt_... |
"Problem Statement:\nC_6H_6(1) + 7 (1/2) O_2(g) \\rightharpoonup 6CO_2(g) + 3H_2O(1) When the combustion is carried out at 77°F, 18000 Btu/lb (benzene) is evolved. Calculate \\DeltaH_77 _F for this combustion permole of benzene. Use 78.11 lb/lbmoleas the molecular weightof benzene." | {
"stem_712": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 1.4100 × 10^6 Btu/lbmole",
"opt_B": "- 1.40598 × 10^6 Btu/lbmole",
"opt_C": "- 1.4600 × 10^6 Btu/lbmole",
"opt_D": "- 1.3750 × 10^6 Btu/lbmole"... |
"Problem Statement:\nThe bond length between any two nonmetal atoms is achieved under which of the following conditions?" | {
"stem_713": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The point at which the repulsive forces between the two atoms are equal",
"opt_B": "Where the nucleus of one atom exhibits the strongest attraction to the el... |
"Problem Statement:\nWhat is \\DeltaE, q, w and \\DeltaH for the reversible compression of three moles of an ideal gas at 40°C from 2.00atmto 90.0 atm?" | {
"stem_714": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\DeltaE = \\DeltaH = 0, q = w = - 29.718 J",
"opt_B": "\\DeltaE = \\DeltaH = 29.718 kJ, q = - 29.718 kJ, w = - 29.718 kJ",
"opt_C": "\\DeltaE = 29.718... |
"Problem Statement:\nAn input signal v(t) =I\\delta(t) (impulse function) is passed through a filter having function (1 - e-j\\omega\\tau)/j\\omegawhere \\tau is the stretchedumpulsewidth. Determine the output of the filter." | {
"stem_715": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "v_o(t) = I [δ(t) * e^(-t/τ)]",
"opt_B": "v_o(t) = I [e^(-jωt) - u(t - τ)]",
"opt_C": "v_o(t) = I [1 - e^(-jωτ)]",
"opt_D": "v_o(t) = I [u(t) / (u... |
"Problem Statement:\nAn air-coretoroidhas 500 turns, a cross-sectional area of 6 cm^2, a mean radius of 15 cm, and a coil current of 4A. Find the magnetic field of thistoroidalcoil using flux densities and check by Ampere's law." | {
"stem_716": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.9 × 10^-6 A-T/m",
"opt_B": "1,250 A-T/m",
"opt_C": "1,500 A-T/m",
"opt_D": "4,400 A-T/m",
"opt_E": "850 A-T/m",
"opt_F": "2,000 A-T... |
"Problem Statement:\nA sealed, rigid container contains three gases: 28.0 g of nitrogen, 40.0 g of argon, and 36.0 g of water vapor. If the total pressure exerted by the gases is 2.0 atm, what is the partial pressure of the nitrogen?" | {
"stem_717": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.5 atm",
"opt_B": "0.50 atm",
"opt_C": "0.10 atm",
"opt_D": "2.0 atm",
"opt_E": "1.0 atm",
"opt_F": "0.33 atm",
"opt_G": "0.75... |
"Problem Statement:\nA sailboat, 100 ft. long, is moving at a speed of 10 ft per sec. Assume it to act as a flat plate, and the water as the medium through which the transfer of heat occurs. Find the maximum thickness of the boundary layer. Take the density of water as 62.4lbm/ft^3 and the viscosity as 3.0lbm/hr-ft." | {
"stem_718": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.5 ft",
"opt_B": "0.75 ft",
"opt_C": "1.05 ft",
"opt_D": "2.0 ft",
"opt_E": "1.8 ft",
"opt_F": "0.45 ft",
"opt_G": "0.6 ft",
... |
"Problem Statement:\n200 Kg of water at T_i = 35°C is kept in an auxiliary reservoir tobe heated by solar energy. The solar collector used has a surfacearea of A = 5m^2. The heat removal factor and the overallheat transfer coefficient are F_R = 0.80 and U_L = 8.0 W/m^2.°C, respectively. The ambient temperature T_a = 30... | {
"stem_719": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "55%",
"opt_B": "50%",
"opt_C": "42%",
"opt_D": "30%",
"opt_E": "35%",
"opt_F": "40%",
"opt_G": "22.2%",
"opt_H": "18.7%",... |
"Problem Statement:\nFor a macroscopic object of mass $1.0 \\mathrm{~g}$ moving with speed $1.0 \\mathrm{~cm} / \\mathrm{s}$ in a one-dimensional box of length $1.0 \\mathrm{~cm}$, find the quantum number $n$." | {
"stem_720": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8$10^{26}$",
"opt_B": "1$10^{27}$",
"opt_C": "1$10^{26}$",
"opt_D": "9$10^{26}$",
"opt_E": "6$10^{26}$",
"opt_F": "2$10^{26}$",
... |
"Problem Statement:\nGlucose-1-phosphate, essential to the metabolism of carbohydrates in humans, has a molecular weight of 260 g/mole and a density of about 1.5 g/cm^3. What is the volume occupied by one molecule of glucose-1-phosphate?" | {
"stem_721": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.9 × 10^-22 cm^3",
"opt_B": "8.2 × 10^-22 cm^3",
"opt_C": "1.5 × 10^-22 cm^3",
"opt_D": "1.0 × 10^-21 cm^3",
"opt_E": "5.0 × 10^-22 cm^3",... |
"Problem Statement:\n(i) A 120 V dc shunt motor has an armature resistance of 0.2 ohms and a brush volt drop of 2 V. The rated full-load armature current is 75 A. Calculate the current at the instant of starting, and the percent of full load. (ii) Calculate the various values (taps) of starting resistance to limit the ... | {
"stem_722": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "580 A, 770 percent, 0.80 Ω, 0.572 Ω, 0.306 Ω, 101 V",
"opt_B": "550 A, 733 percent, 0.79 Ω, 0.540 Ω, 0.300 Ω, 100 V",
"opt_C": "600 A, 800 percent, 0.9... |
"Problem Statement:\nA plane wave having a frequency of 1590 MHz is traveling in a medium for which\\mu_r=\\epsilon_r= 1 and \\sigma = 0.1 mho/m. If thermselectric field intensity of the wave is 10 Volt/m, determine: (a) the conduction current density, (b) the displacement current density, (c) the total current density... | {
"stem_723": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 0.8 Amp/m^2, (b) 0.7 sin(\\cyrchar\\cyromegat+ \\pi/2) Amp/m^2, (c) (0.8 + j0.7) Amp/m^2",
"opt_B": "(a) 0.7 Amp/m^2, (b) 1.1 sin(ωt + π/4) Amp/m^2, (c) ... |
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