state unknown | questions unknown |
|---|---|
"Problem Statement:\nPolystyrene has a relative permittivity of 2.7. If a wave is incident at an angle of\\texttheta_i= 30° from air onto polystyrene, calculate the angle if transmission\\texttheta_tInterchange polystyrene and air and repeat the calculation." | {
"stem_101": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20 degrees and 60 degrees",
"opt_B": "22 degrees and 58 degrees",
"opt_C": "30 degrees and 70 degrees",
"opt_D": "18 degrees and 54 degrees",
... |
"Problem Statement:\nA short dipole has a radiation resistance R_r=\\surd(\\mu_0 / \\epsilon_0) [(\\betal)^2 / 6\\pi] ohms. FindA_emthe maximum effectiveaperture of this dipole." | {
"stem_103": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.075 \\lambda^2",
"opt_B": "0.200 \\lambda^2",
"opt_C": "0.180 \\lambda^2",
"opt_D": "0.089 \\lambda^2",
"opt_E": "0.102 \\lambda^2",
... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Suppose that $3.0 \\mathrm{mmol} \\mathrm{N}_2$ (g) occupies $36 \\mathrm{~cm}^3$ at $300 \\mathrm{~K}$ and expands to $60 \\mathrm{~cm}^3$. Calculate $\\Delta G$ for the process." | {
"stem_104": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-1.5 $\\text{J}$",
"opt_B": "-3.8 $\\text{J}$",
"opt_C": "-2.6 $\\text{J}$",
"opt_D": "0 $\\text{J}$",
"opt_E": "2.4 $\\text{J}$",
"o... |
"Problem Statement:\nA mixture of N_2 and O_2 gases contains equal weight of each gas. The absolute velocities are given as: v_(N)2^\\ding{217} = - 7i^\\ding{217} m/sec v_(O)2^\\ding{217} = + 7i^\\ding{217} m/sec wherei^\\ding{217} is a unit vector in the x direction. Obtain the mass and molar average velocities." | {
"stem_105": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Average mass velocity is 3.5i m/sec and molar average velocity is -3.5i m/sec",
"opt_B": "Average mass velocity is 0 and molar average velocity is - 0.42i m/... |
"Problem Statement:\nAn electron confined to a metallic nanoparticle is modelled as a particle in a one-dimensional box of length $L$. If the electron is in the state $n=1$, calculate the probability of finding it in the following regions: $0 \\leq x \\leq \\frac{1}{2} L$." | {
"stem_106": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$\\frac{1}{4}$",
"opt_B": "$\\frac{7}{8}$",
"opt_C": "$\\frac{1}{8}$",
"opt_D": "$\\frac{3}{4}$",
"opt_E": "$\\frac{2}{3}$",
"opt_F":... |
"Problem Statement:\nA metal has an atomic weight of 24. When it reacts with a non-metal of atomic weight 80, it does so in a ratio of 1 atom to 2 atoms, respectively. With this information, how many grams of non-metal will combine with 33.3 g of metal. If 1 g of metal is reacted with 5 g of non-metal, find the amount ... | {
"stem_107": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "225 grams, 5.85 grams",
"opt_B": "250 grams, 6.25 grams",
"opt_C": "205 grams, 4.95 grams",
"opt_D": "260 grams, 5.25 grams",
"opt_E": "210... |
"Problem Statement:\nFind the Fourier sine series of f(x) = x^2 over the interval (0, 1)." | {
"stem_108": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "x^2 \\sim_s ^\\infty\\sum_n=1 {[{(- 1)^n+1} / (n\\pi)]} sinn\\pix",
"opt_B": "x^2 \\sim_s ^\\infty\\sum_n=1 {2 / (n\\pi)]} sinn\\pix",
"opt_C": "x^2 \\... |
"Problem Statement:\nA steam pipe containing saturated steam at 100 psia is connected to an empty cylinder. What will be the final state of the steam if the cylinder is filled with steam at the same pressure as the pipe?" | {
"stem_109": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The steam in the container is condensed",
"opt_B": "The steam in the container is saturated",
"opt_C": "The steam in the container is at the same tempe... |
"Problem Statement:\nIfK_pforH_2(g) + I_2(g) \\rightleftharpoons 2HI(g) at 25°C is 870, then assumingno solid iodine forms, calculate the number of molesof the following at equilibrium. (a) HI formed when H_2 = 0.5 moles and I_2 = 0.5 moles (b) I_2 formed when H_2 = 0.5 moles and HI = 1.5 moles." | {
"stem_110": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.000 moles of HI, 0 moles of I2",
"opt_B": "0.936 moles of HI, 0.010 moles of I2",
"opt_C": "0.750 moles of HI, 0.125 moles of I2",
"opt_D": "0.... |
"Problem Statement:\nA driver applies brakes and slows down the car at a constant rate of 25 fps^2 till it comes to rest. The car weighs 3500 lbs. and its average speed is 55 mph. If the drum diameter is 10 in., band face width and thickness are 2 in. and (1 / 4) in. respectively, determine the following: (a) the tempe... | {
"stem_111": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Temperature increase: 110°F, Mean rate of power absorption in the first second: 350 hp, Average power absorbed overall: 210 hp",
"opt_B": "Temperature increa... |
"Problem Statement:\nA six-pole dynamo, with interpoles, requires 360 inductors on its armature, with three turns per coil and two coil sides per slot. (a) Determine the number of coils, slots, and commutator bars. (b) Select suitable pitches for a simplex lap winding." | {
"stem_112": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Coils = Bars = Slots = 180, Front pitch = 8 slots for progressive and 10 slots for retrogressive winding, Commutator pitch = 3 bars",
"opt_B": "Coils = Bars ... |
"Problem Statement:\nA piston cylinder arrangement contains saturated Freon - 12 at- 10°C. The vapor is then compressed to a final pressure of1.6MPa. If the process is assumed to be reversible and adiabaticcalculate the work per kilogram of Freon - 12 for thisprocess." | {
"stem_113": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "50.000 kJ/kg",
"opt_B": "-200.352 kJ/kg",
"opt_C": "166.265 kJ/kg",
"opt_D": "125.789 kJ/kg",
"opt_E": "-50.000 kJ/kg",
"opt_F": "34.... |
"Problem Statement:\nA gas at $250 \\mathrm{~K}$ and $15 \\mathrm{~atm}$ has a molar volume 12 per cent smaller than that calculated from the perfect gas law. Calculate the compression factor under these conditions." | {
"stem_114": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.82",
"opt_B": "0.96",
"opt_C": "0.92",
"opt_D": "1.12",
"opt_E": "0.66",
"opt_F": "1.08",
"opt_G": "1.20",
"opt_H": "0.... |
"Problem Statement:\nFind the carrier swing and the frequency deviation\\Deltafof a TV signal, given that the percentage modulation of the audio portion is 80%." | {
"stem_115": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20 kHz, 40 kHz",
"opt_B": "18 kHz, 36 kHz",
"opt_C": "12 kHz, 24 kHz",
"opt_D": "5 kHz, 10 kHz",
"opt_E": "10 kHz, 20 kHz",
"opt_F": ... |
"Problem Statement:\nCalculate the Q-factor for an X-band EPR cavity with a resonator bandwidth of 1.58 MHz." | {
"stem_116": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Q = 9012",
"opt_B": "Q = 3012",
"opt_C": "Q = 2012",
"opt_D": "Q = 7012",
"opt_E": "Q = 1012",
"opt_F": "Q = 5012",
"opt_G": "Q... |
"Problem Statement:\nThere exists a 0.5 M HF solution for whichK_diss= 6.71 × 10^-4. Determine how much dilution is necessary to double the percent dissociation of HF." | {
"stem_117": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.13",
"opt_B": "3.21",
"opt_C": "5.65",
"opt_D": "2.06",
"opt_E": "6.89",
"opt_F": "8.26",
"opt_G": "1.03",
"opt_H": "9.... |
"Problem Statement:\nThe surface temperature of a 3 ft square panel is maintained at200°F. Calculate the heat lost by the panel (a)whenattached to the ceiling, facing downwards in a room at80°F, and (b)whenattached to the floor, facing upwards in the same room. The condition through the back of the panel may be neglect... | {
"stem_118": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "200.5 Btu/hr.ft.^2 and 350.5 Btu/hr.ft^2",
"opt_B": "205.0 Btu/hr.ft.^2 and 305.0 Btu/hr.ft.^2",
"opt_C": "210.7 Btu/hr.ft.^2 and 310.5 Btu/hr.ft^2",
... |
"Problem Statement:\nA chemist mixes nitric oxide and bromine to form nitrosy1 bromide at 298°K, according to the equation 2NO_(g)+ Br_2(g) \\rightleftarrows 2NOBr_(g) . Assuming K = 100, what is the quantity of nitrosy1 bromide formed, if the reactants are at an initial pressure of 1atm? R = 0.0821 liter-atm./mole°K." | {
"stem_119": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "89.32g",
"opt_B": "95.21g",
"opt_C": "120.67g",
"opt_D": "130.89g",
"opt_E": "123.58g",
"opt_F": "115.34g",
"opt_G": "101.53g",... |
"Problem Statement:\nFind the variance of a random variable X that is uniformly distributed over the interval [0, 3]." | {
"stem_120": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1/3",
"opt_B": "9/4",
"opt_C": "(3/4)",
"opt_D": "3/2",
"opt_E": "1/4",
"opt_F": "2/3",
"opt_G": "6",
"opt_H": "1/12",
... |
"Problem Statement:\nPer day, an average adult may lose liquid water in the following liter amounts: as urine 1.0; as sweat, 0.6; as fecal matter, 0.1; in expired air, 0.4. How many gallons of water pass through a human being, assuming these data hold for 60 years?" | {
"stem_121": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.10 gallons",
"opt_B": "12,045 gallons",
"opt_C": "5.48 × 10^4 gallons",
"opt_D": "21,900 gallons",
"opt_E": "4.60 × 10^4 gallons",
... |
"Problem Statement:\nA Cu(II) metal ion (giso = 2.12) produces four lines with a separation of 500 MHz between each line. Express the hyperfine splitting in field units of mT and the hyperfine coupling in units of wavenumbers." | {
"stem_122": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "500 MHz = 32.953 mT = 0.76298 cm-1",
"opt_B": "500 MHz = 40.123 mT = 1.09876 cm-1",
"opt_C": "500 MHz = 16.850 mT = 0.01667 cm-1",
"opt_D": "500 ... |
"Problem Statement:\nCarbon dioxide enters a heater at 995lbf/in^2, 80°F and is heated until its temperature at the exit is 900°F. Assuming the carbon dioxide to have undergone a constant pressure, steady-flow process calculate the heating required per pound of CO_2." | {
"stem_123": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "265.89 Btu/lbm",
"opt_B": "230.58 Btu/lbm",
"opt_C": "290.76 Btu/lbm",
"opt_D": "320.45 Btu/lbm",
"opt_E": "190.22 Btu/lbm",
"opt_F":... |
"Problem Statement:\nIn a lap winding dc machine number of conductors are 100 and number of parallel paths are 10. Find the average pitch" | {
"stem_124": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "150",
"opt_B": "100",
"opt_C": "200",
"opt_D": "5",
"opt_E": "10",
"opt_F": "25",
"opt_G": "20",
"opt_H": "75",
"op... |
"Problem Statement:\nCalculate the weight in grams of sulfuric acid in 2.00 liters of 0.100 molarsolution. (MW of H_2SO_4 = 98.1.)" | {
"stem_125": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10.0 g",
"opt_B": "24.4 g",
"opt_C": "15.2 g",
"opt_D": "22.3 g",
"opt_E": "19.6 g",
"opt_F": "9.81 g",
"opt_G": "50.0 g",
... |
"Problem Statement:\nThe carbon-carbon bond length in diamond is $154.45 \\mathrm{pm}$. If diamond were considered to be a close-packed structure of hard spheres with radii equal to half the bond length, what would be its expected density? The diamond lattice is face-centred cubic and its actual density is $3.516 \\mat... | {
"stem_126": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.965 g/cm³",
"opt_B": "10.112 g/cm³",
"opt_C": "9.015 $\\mathrm{~g} \\mathrm{~cm}^{-3}$",
"opt_D": "6.324 $\\mathrm{~g} \\mathrm{~cm}^{-3}$",
... |
"Problem Statement:\nCalculate the loss of head in a pipe (1/4) in. in diameter and 16 ft. long, when water flows at half the critical velocity. The critical velocity occurs when Reynolds number is 2500. Take viscosity \\mu = 1.01 centipoise = 0.679 × 10^-3 lbm/ft-sec." | {
"stem_127": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.12 in",
"opt_B": "7.5 in",
"opt_C": "0.8 in",
"opt_D": "6.3 in",
"opt_E": "2.5 in",
"opt_F": "5.0 in",
"opt_G": "1.75 in",
... |
"Problem Statement:\nAt standard conditions, 1 liter of oxygen gas weighs almost 1.44 g, whereas 1 liter of hydrogen weighs only .09 g. Which gas diffuses faster? Calculate how much faster." | {
"stem_128": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Hydrogen and oxygen diffuse at the same rate",
"opt_B": "Oxygen diffuses 2 times faster than hydrogen",
"opt_C": "Hydrogen diffuses 16 times faster tha... |
"Problem Statement:\nAn ionic bond is established between positive ion A and negative ion B. How would one expect the strength of the bond to be affected by each of the following changes: (a) Doubling the charge on A, (b) Simultaneously doubling the charge on A and B, (c) Doubling the radius of B, and (d) Simultaneousl... | {
"stem_129": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) Bond strength remains the same, (b) Bond strength is halved, (c) Bond strength is quadrupled, (d) Bond strength is doubled",
"opt_B": "(a) Bond strength ... |
"Problem Statement:\nA chemist has a saturated solution of CaSO_4 in .0100M Na_2 SO_4 . The K_sp of CaSO_4is 2.4 × 10-^5 . calculate the concentration of. Ca^2+ ion in this saturated solution." | {
"stem_130": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.4 × 10^-5",
"opt_B": "2.0 × 10^-3",
"opt_C": "1.2 × 10^-2",
"opt_D": "5.0 × 10^-3",
"opt_E": "8.0 × 10^-5",
"opt_F": "7.5 × 10^-4",... |
"Problem Statement:\nA fluid having a flow rate of 5lbm/sec passes through a pipe where heat is transferred at the rate of 50 Btu/sec. How much work can be done by this system if the velocity, enthalpy and height at the entrance are 100 ft/sec, 1000 Btu/lbm, and 100 ft respectively. At the exit the values of these quan... | {
"stem_131": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 50 Btu/sec, 0.5 ft^2",
"opt_B": "- 50 Btu/sec, 1 ft^2",
"opt_C": "- 45 Btu/sec, 0.8 ft^2",
"opt_D": "- 42 Btu/sec, 0.65 ft^2",
"opt_E": "... |
"Problem Statement:\nWhat percent of the AB particles are dissociated by water if the freezing point of a(.0100 m) AB solution is -0.0193°C? The freezing point lowering constant of water is (-1.86°C / mole)." | {
"stem_132": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12%",
"opt_B": "6%",
"opt_C": "8%",
"opt_D": "10%",
"opt_E": "2%",
"opt_F": "4%",
"opt_G": "15%",
"opt_H": "3%",
"o... |
"Problem Statement:\nUsing the Bohr theory, calculate the ionization energy (in electron volts and in $\\mathrm{kJ} \\cdot \\mathrm{mol}^{-1}$ ) of singly ionized helium." | {
"stem_133": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "48.359 eV",
"opt_B": "52.307 eV",
"opt_C": "70.215 eV",
"opt_D": "60.321 $\\mathrm{eV}$",
"opt_E": "49.977 eV",
"opt_F": "45.678 $\\m... |
"Problem Statement:\nCobalt-60 is used in the radiation therapy of cancer and can be produced by bombardment of cobalt-59 with which of the following?" | {
"stem_134": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Gamma rays",
"opt_B": "Neutrons",
"opt_C": "Ultraviolet light",
"opt_D": "Beta particles",
"opt_E": "Infrared radiation",
"opt_F": "P... |
"Problem Statement:\nWhich of the following windings are necessary in case of all dc machines?" | {
"stem_135": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "star winding",
"opt_B": "delta winding",
"opt_C": "closed winding",
"opt_D": "parallel winding",
"opt_E": "zigzag winding",
"opt_F": ... |
"Problem Statement:\nRadiation from an X-ray source consists of two components of wavelengths $154.433 \\mathrm{pm}$ and $154.051 \\mathrm{pm}$. Calculate the difference in glancing angles $(2 \\theta)$ of the diffraction lines arising from the two components in a diffraction pattern from planes of separation $77.8 \\m... | {
"stem_136": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.84 ${\\circ}$",
"opt_B": "3.58 ${\\circ}$",
"opt_C": "3.26 ${\\circ}$",
"opt_D": "1.75 ${\\circ}$",
"opt_E": "2.14 ${\\circ}$",
"op... |
"Problem Statement:\nA flat plate loses heat to the atmosphere by forced convection. Air at 70°F flows over the plate at the rate of 50 ft/sec. The plate is initially at 212°F. Find (a) the length of the laminar boundary layer thickness on the plate; (b) the local coefficient of heat transfer; (c) the thickness of the ... | {
"stem_137": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 2.1 ft, (b) 1.64 Btu/hr-ft^2-°F, (c) 0.0148 ft, (d) 0.0165 ft, (e) 3.28 Btu/hr-ft^2-°F",
"opt_B": "(a) 1.9 ft, (b) 1.5 Btu/hr-ft^2-°F, (c) 0.015 ft, (d) ... |
"Problem Statement:\nFor a steady, turbulent, constant property, two dimensional boundarylayer-type flow over a flat plate at zero angle of approach, the velocity profile is given by u = v(y/\\delta)^1^/7(1) where v = free stream velocity \\delta = boundary layer thickness andthe local skin friction coefficient is give... | {
"stem_138": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\(\\delta= \\frac{(0.37x)^2}{(Re_x)^{1/5}}\\)",
"opt_B": "\\(\\delta= \\frac{(0.37x)}{(Re_x)^{1/3}}\\)",
"opt_C": "\\delta= {(0.37x) / (Re_x)^1^/6}",
... |
"Problem Statement:\nA technician is working with dry ice (solid CO_2) in a closed 6000 liter fume hood maintained at a constant pressure of 1.00atmand a constant temperature of 27°C. If he has not been conditioned to tolerate CO_2, he will succumb to CO_2 poisoning when the concen-tration rises to 10%, by volume, of t... | {
"stem_139": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.00 kg",
"opt_B": "1.25 kg",
"opt_C": "800 g",
"opt_D": "1.10 kg",
"opt_E": "500 g",
"opt_F": "650 g",
"opt_G": "2.00 kg",
... |
"Problem Statement:\nLiquid helium boils at 4°K. What is the boilingtemperature onthe Fahrenheit scale?" | {
"stem_140": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-202°F",
"opt_B": "269°F",
"opt_C": "4°F",
"opt_D": "-452°F",
"opt_E": "32°F",
"opt_F": "-306°F",
"opt_G": "-424°F",
"opt... |
"Problem Statement:\nCalculate the equilibrium constant for the reaction at 300°K H_2 + D_2 \\rightleftarrows 2HD using the following data Fundamental vibrationѵ(cm^-1) Moment of inertia I(g \\bullet cm^2 × 10^40) H2 HD D_2 4371 0.458 3785 0.613 3092 0.919" | {
"stem_142": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.957",
"opt_B": "3.29",
"opt_C": "2.65",
"opt_D": "0.7734",
"opt_E": "6.02",
"opt_F": "5.34",
"opt_G": "4.87",
"opt_H": ... |
"Problem Statement:\nFrom the following five statements, indicate which ones are correct when an ideal gas is allowed to escape rever-sibly and isothermally into a vacuum. [Hint: What is the average kinetic energy of an ideal gas?] 1. W = 0, \\DeltaE = q = a positive number 2. w = P\\DeltaV + V\\DeltaP 3. w = P\\DeltaV... | {
"stem_143": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "All statements are correct",
"opt_B": "Statements 3 and 4 are correct",
"opt_C": "Statements 2 and 5 are correct",
"opt_D": "Statement 1 is corre... |
"Problem Statement:\nYour supervisor asks you to determine the enthalpy of a certain chemical reaction. Which would you do?" | {
"stem_144": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Use a gas chromatograph to measure the composition of the reaction.",
"opt_B": "Measure the ΔS and the ΔG for the reaction, and calculate the ΔH from the ent... |
"Problem Statement:\nThe same quantity of electricity was passed through two separate electrolytic cells. The first of these contained a solution of copper sulfate (CuSO_4) and exhibited the following cathode reaction (reduction): Cu^2+ + 2e^- \\rightarrow Cu(s) . The second of these contained a solution of silver nitr... | {
"stem_145": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.3g",
"opt_B": "11.8g",
"opt_C": "14.7g",
"opt_D": "10.8g",
"opt_E": "13.9g",
"opt_F": "8.1g",
"opt_G": "7.2g",
"opt_H":... |
"Problem Statement:\nThe duration of a $90^{\\circ}$ or $180^{\\circ}$ pulse depends on the strength of the $\\mathscr{B}_1$ field. If a $180^{\\circ}$ pulse requires $12.5 \\mu \\mathrm{s}$, what is the strength of the $\\mathscr{B}_1$ field? " | {
"stem_146": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.8 $10^{-4} \\mathrm{~T}$",
"opt_B": "4.2 $10^{-4} \\mathrm{~T}$",
"opt_C": "4.7 $10^{-4} \\mathrm{~T}$",
"opt_D": "6.2 $10^{-4} \\mathrm{~T}$",... |
"Problem Statement:\nWhich pair of reactants will have no net ionic equation (that is, all the ions cancel)?" | {
"stem_147": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Na2SO3 + FeCl2",
"opt_B": "MgBr2 + Na2CO3",
"opt_C": "NH4I + Pb(NO3)2",
"opt_D": "NaOH + HCl",
"opt_E": "BaCl2 + K2SO4",
"opt_F": "Cu... |
"Problem Statement:\n(a) Paraffin has a relative permittivity\\epsilon_r= 2.1. Find the index of refraction for paraffin and also the phase velocity of a wave in an unbounded medium of paraffin. (b) Distilled water has the constants \\sigma \\approx 0,\\epsilon_r= 81, \\mu_r = 1. Find \\eta and v." | {
"stem_148": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\eta = 2.1, v = 1.45 × 10^8 meters/sec; \\eta = 81, v = 1.11 × 10^8 meters/sec",
"opt_B": "\\eta = 1.45, v = 2.07 × 10^8 meters/sec; \\eta = 9, v = 3.33 × 1... |
"Problem Statement:\nA 0.100 l container maintained at constant temperature contains 5.0 × 10^10 molecules of an ideal gas. How many molecules remain if the volume is changed to 0.005 l? What volume is occupied by 10,000 molecules at the initial temperature and pressure?" | {
"stem_149": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.0 x 10^9 molecules, 1 x 10^-6 l",
"opt_B": "2.5 x 10^9 molecules, 5 x 10^-6 l",
"opt_C": "2.5 x 10^8 molecules, 1 x 10^-6 l",
"opt_D": "5.0 x 1... |
"Problem Statement:\nHow much energy is emitted by Avogadro number of atoms, if they each emit a light wave of 400 nm wavelength?" | {
"stem_150": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.20 × 10^5 J",
"opt_B": "2.58 × 10^5 J",
"opt_C": "2.20 × 10^5 J",
"opt_D": "3.50 × 10^5 J",
"opt_E": "1.98 × 10^5 J",
"opt_F": "2.9... |
"Problem Statement:\nOne pound of a gas in a piston cylinder arrangement undergoes compression from 500psiato 50psia. The initial volume of the gas is 3 cu. ft per lb. The variation of p and v is such that pv^1.4 is a constant. Calculate the change in internal energy if the work performed is equal to the amount of heat... | {
"stem_151": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15.54 ft^3/lbm",
"opt_B": "345280 ftlbf/lbm",
"opt_C": "260280 ftlbf/lbm",
"opt_D": "- 760 Btu/lbm",
"opt_E": "- 150 Btu/lbm",
"opt_F... |
"Problem Statement:\nWhich of the following statements most accurately explains why the 1H spectrum of 12CHCl3 is a singlet?" | {
"stem_152": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Both 35Cl and 37Cl have electric quadrupole moments.",
"opt_B": "The molecule is not rigid.",
"opt_C": "The hydrogen atom undergoes slow intermolecular... |
"Problem Statement:\nA square wave guide of side 2b and a circular wave guide of diameter2d have the same cross-sections. If the cutoff wavelength of the square guide is 4b, find the cutoff wave lengthof the circular wave guide." | {
"stem_153": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.2d",
"opt_B": "2.5d",
"opt_C": "3.0d",
"opt_D": "1.3d",
"opt_E": "1.5d",
"opt_F": "0.88d",
"opt_G": "2.0d",
"opt_H": "1... |
"Problem Statement:\nWater at 70°F (\\mu = 1 cp) is flowing at a velocity of 15 ft/s over along (in the direction of the flow) thin flat plate. Find the distancefrom the leading edge at which the boundary layer thicknessis 0.75 in." | {
"stem_155": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9.81 ft",
"opt_B": "2.97 ft",
"opt_C": "5.6 ft",
"opt_D": "7.25 ft",
"opt_E": "4.67 ft",
"opt_F": "0.85 ft",
"opt_G": "12.4 ft"... |
"Problem Statement:\nA frequency-modulated signal with a carrier frequency of 100MHz, is fluctuating at a rate of 100 times per second between the frequencies 100.001 MHz and 99.999MHz. (a) Find f_m, the modulating frequency and calculate\\Deltaf, frequency deviation. (b) If the frequency swing is now between the frequ... | {
"stem_156": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "f_m = 100Hz, \\Deltaf_1 = 2kHz, \\Deltaf_2 = 4kHz, \beta_1 = 20, \beta_2 = 40",
"opt_B": "f_m = 50Hz, \\Deltaf_1 = 1kHz, \\Deltaf_2 = 2kHz, \\beta_1 = 20, \\... |
"Problem Statement:\nCalculate the standard potential of the $\\mathrm{Ce}^{4+} / \\mathrm{Ce}$ couple from the values for the $\\mathrm{Ce}^{3+} / \\mathrm{Ce}$ and $\\mathrm{Ce}^{4+} / \\mathrm{Ce}^{3+}$ couples.\n" | {
"stem_157": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-1.83 $\\mathrm{V}$",
"opt_B": "-1.72 $\\mathrm{V}$",
"opt_C": "-1.46 $\\mathrm{V}$",
"opt_D": "-1.56 $\\mathrm{V}$",
"opt_E": "-1.39 $\\ma... |
"Problem Statement:\nA closed system contains pure ammonia (NH_3) at an initial pressure and temperature of 1640psiaand 1460°R respectively. The ammonia then undergoes an isothermal expansion to a final pressure of 820psia. Using the generalized enthalpy correction chart calculate the change in specific enthalpy." | {
"stem_158": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20.00 Btu/lbm",
"opt_B": "0.65 Btu/lbm",
"opt_C": "17.89 Btu/lbm",
"opt_D": "0.33 Btu/lbm",
"opt_E": "10.00 Btu/lbm",
"opt_F": "13.73... |
"Problem Statement:\nThe surface of a space ship, at temperature 40°F and emissivity0.1, is exposed to space. Consider the space as a perfectblack body at temperature 0°R,and the space ship as agray infinite cylinder. Calculate the net radiant heat loss persquare foot." | {
"stem_159": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "17.2 Btu/hr-ft^2",
"opt_B": "6.5 Btu/hr-ft^2",
"opt_C": "14.2 Btu/hr-ft^2",
"opt_D": "11.5 Btu/hr-ft^2",
"opt_E": "15.4 Btu/hr-ft^2",
... |
"Problem Statement:\nThe resistance of a conductor of diameter d and length l is R Ω. If the diameter of the conductor is halved and its length is doubled, the resistance will be" | {
"stem_160": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "R/4 Ω",
"opt_B": "R/2 Ω",
"opt_C": "1/2R Ω",
"opt_D": "1/4R Ω",
"opt_E": "4R Ω",
"opt_F": "2R Ω",
"opt_G": "8R Ω",
"opt_H... |
"Problem Statement:\nCalculate \\DeltaH when 2 moles of Cu are heated from 50°C to 200°C, given that a = 5.41 cal mol^-1 K^-1 b = 1.50 cal mol^-1K^-2" | {
"stem_161": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9000J",
"opt_B": "7200J",
"opt_C": "8200J",
"opt_D": "8700J",
"opt_E": "8000J",
"opt_F": "6500J",
"opt_G": "7000J",
"opt_... |
"Problem Statement:\nAn electrochemical cell is to be designed by using a cell whose materials are of high performance, and can generate high power. Li \\vertLiCl(fused salt) \\vertCl_2 is to be used. What is the optimum ratio of Li weight to that of Cl_2? (atomic weights: Li = 6.94,Cl= 35.5)" | {
"stem_162": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2",
"opt_B": "0.196",
"opt_C": "3",
"opt_D": "4",
"opt_E": "1.5",
"opt_F": "0.1",
"opt_G": "0.5",
"opt_H": "0.75",
... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. The enthalpy of vaporization of chloroform $\\left(\\mathrm{CHCl}_3\\right)$ is $29.4 \\mathrm{~kJ} \\mathrm{~mol}^{-1}$ at its normal boiling point of $334.88 \\mathrm{~K}$. Calculate the entropy of vaporiza... | {
"stem_163": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+66.5$\\mathrm{J} \\mathrm{K}^{-1} \\mathrm{~mol}^{-1}$",
"opt_B": "+110.3$\\mathrm{J} \\mathrm{K}^{-1} \\mathrm{~mol}^{-1}$",
"opt_C": "+87.8$\\mathrm... |
"Problem Statement:\nThe flux-distribution curve of a synchronous machine is representedat no-load by B_x= 100 sin (x/\\tau) \\pi - 14 sin 3 (x/\\tau) \\pi - 20 sin 5 (x/\\tau) \\pi + 1 sin 7 (x/\\tau) \\pi. Determine theemfsinduced at no-load by the harmonics (asfractions of the fundamental)." | {
"stem_164": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(E_3 / E_1) = 0.1, (E_5 / E_1) = 0.02, (E_7 / E_1) = 0.004",
"opt_B": "(E_3 / E_1) = 0.00072, (E_5 / E_1) = 0.01435, (E_7 / E_1) = 0.075",
"opt_C": "(E... |
"Problem Statement:\nAt $300 \\mathrm{~K}$ and $20 \\mathrm{~atm}$, the compression factor of a gas is 0.86 . Calculate the volume occupied by $8.2 \\mathrm{mmol}$ of the gas under these conditions." | {
"stem_165": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.9 $\\mathrm{~cm}^3$",
"opt_B": "12.1 $\\mathrm{~cm}^3$",
"opt_C": "7.3 $\\mathrm{~cm}^3$",
"opt_D": "7.9 $\\mathrm{~cm}^3$",
"opt_E": "9.... |
"Problem Statement:\nFind the energy stored in a nonlinear capacitor with characteristics given by g(t) = 0.5 \\nu^2(t) and\\nu(t) = 1 + 0.5 sin t from t = 0 to t = 1 sec." | {
"stem_166": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.785 J",
"opt_B": "0.211 J",
"opt_C": "0.125 J",
"opt_D": "0.623 J",
"opt_E": "0.956 J",
"opt_F": "0.999 J",
"opt_G": "0.333 J... |
"Problem Statement:\nAt a certain temperature,Keqfor the reaction 3C_2H_2 \\rightleftarrows C_6H_6 is 4. If the equilibrium concentration of C_2H_2 is 0.5 mole/liter, what is the concentration of C6H_6 ?" | {
"stem_167": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3 moles/liter",
"opt_B": "0.75 moles/liter",
"opt_C": "2 moles/liter",
"opt_D": "1 mole/liter",
"opt_E": "2.5 moles/liter",
"opt_F": ... |
"Problem Statement:\nAir (100°F, 1atm) is flowing at a velocity of 20 fps over a flat plate(200°F) of 2 ft width. At x = 2 ft find the local convective heattransfer coefficient, rate of heat transfer by convection, localfriction coefficient, local drag due to friction and the boundarylayer thickness." | {
"stem_168": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Local convective heat transfer coefficient: 1.6 Btu/hr ft²°F, Rate of heat transfer by convection: 64,000 Btu/hr, Local friction coefficient: 0.0017, Local drag du... |
"Problem Statement:\nA drop of water is allowed to fall into dry still air at 1atmpressure with a velocity of 225 cm sec^-1.The drop is sphericalin shape with 0.03cm diameter. The temperature of airis 145°F and the surface temperature of the drop is 70°F. The vapor pressure of water at 70°F is 0.0247 atm. Assuming pseu... | {
"stem_169": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.324 × 10^-8gmole/sec",
"opt_B": "2.5 × 10^-7 gmole/sec",
"opt_C": "6.62 × 10^-7 gmole/sec",
"opt_D": "2.648 × 10^-6 gmole/sec",
"opt_E": ... |
"Problem Statement:\nFind K_b andpK_bfor the acetate ion CH_3COO^-, The ionization constant of CH_3COOH is K_a = 1.75 × 10^-5;K_w= 1.00 × 10^-14." | {
"stem_170": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "K_b = 5.71 × 10^-9, pK_b = 8.244",
"opt_B": "K_b = 5.71 × 10^-10, pK_b = 9.244",
"opt_C": "K_b = 5.71 × 10^-11, pK_b = 10.244",
"opt_D": "K_b = 9... |
"Problem Statement:\nSuppose an antenna has a power input of 40\\pi W and an efficiencyof 98 percent. Also, suppose that the radiation intensityhas been found to have a maximum value of 200 W/unit solid angle.Find the directivity and gain of the antenna." | {
"stem_171": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Directivity is 12.7 or 11.0 dB, Gain is 12 or 10.8 dB",
"opt_B": "Directivity is 20.4 or 13.1 dB, Gain is 20 or 13.0 dB",
"opt_C": "Directivity is 30.4... |
"Problem Statement:\n If $125 \\mathrm{~cm}^3$ of hydrogen gas effuses through a small hole in 135 seconds, how long will it take the same volume of oxygen gas to effuse under the same temperature and pressure?" | {
"stem_172": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "270 $\\mathrm{s}$",
"opt_B": "675 $\\mathrm{s}$",
"opt_C": "725 $\\mathrm{s}$",
"opt_D": "325 $\\mathrm{s}$",
"opt_E": "600 $\\mathrm{s}$",... |
"Problem Statement:\nFind the inverse Laplace transforms (a) L^-1{2s / (s^2 + 1)^2}, (b) L^-1{1 / \\surds}" | {
"stem_173": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "t sin t, (1 / \\surd\\pi) \bullet (1 / \\surdt)",
"opt_B": "cos t, (1 / \\surd\\pi) \\cdot t e^{-t^2}",
"opt_C": "e^t sin t, (1 / 2\\surd\\pi) \\cdot t... |
"Problem Statement:\nWhat would be the surface tension of a liquid (density 0.876 g / cm^3) which rises 2.0 cm in a capillary where water at 20°C rises 4.5 cm?" | {
"stem_174": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "28.27 dyn / cm",
"opt_B": "72.62 dyn / cm",
"opt_C": "36.31 dyn / cm",
"opt_D": "9.06 dyn / cm",
"opt_E": "65.79 dyn / cm",
"opt_F": ... |
"Problem Statement:\nA tube is heated by means of forced convection from an airstream. The tube has a length of 1000 ft., and the wall surface temperature is 60°F. The flow is measured at a speed of 30 ft/sec, and it moves through an area measuring 3 in. across. If the air is at a mean bulk temperature of 70°F and a pr... | {
"stem_175": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 1.0 psi, (b) 85000 Btu/hr, (c) 11.2 Btu/hr-ft^2-°F",
"opt_B": "(a) 0.5 psi, (b) 75000 Btu/hr, (c) 8.5 Btu/hr-ft^2-°F",
"opt_C": "(a) 1.071 psi, (b)... |
"Problem Statement:\nA pair of mating spur gears increases the speed of the shaft approximately by 4 times. Thediametralpitch for the gear is 8 in. and it is desired that the center distance be approximately 12 in. Determine the actual velocity ratio and the center distance for the gears." | {
"stem_176": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "V_R = 4.5, C_d = 12.5 in.",
"opt_B": "V_R = 3.948, C_d = 14 in.",
"opt_C": "V_R = 4.2, C_d = 13 in.",
"opt_D": "V_R = 3.2, C_d = 12.2 in.",
... |
"Problem Statement:\nA rectangular broad crested weir is 30 ft long and is known to have a discharge coefficient of 0.7. Determine the discharge if the upstream water level is 2 ft over the crest." | {
"stem_177": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "465cfs",
"opt_B": "476cfs",
"opt_C": "490cfs",
"opt_D": "430cfs",
"opt_E": "450cfs",
"opt_F": "520cfs",
"opt_G": "485cfs",
... |
"Problem Statement:\nA power of 30 hp at 150 rpm is available on a distribution line shaft of 2.5 in diameter. Two pulleys mounted on the shaft, for power distribution, 18 in. apart tend to cause torsionaldeflection. Calculate the angle of twist in the shaft between the pulleys. Shear modulus of elasticity = 11 × 10^6 ... | {
"stem_178": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.21 degree",
"opt_B": "0.31 degree",
"opt_C": "0.36 degree",
"opt_D": "0.71 degree",
"opt_E": "0.45 degree",
"opt_F": "0.26 degree",... |
"Problem Statement:\nAtoroidaltype of magnetic core of rectangular cross section hasthe following parameter values: l_m= 20 cm, A_m = (2 cm) (1 cm) = 2 cm^2, l_g= 0.1 cm,\\mu_r= 4000. Determine the ampere turnsiNrequired to realize a magneticflux density in the air gap of magnitude B_g= 0.1Wb/m^2. The air-gap area is t... | {
"stem_179": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "110 ampere turns",
"opt_B": "90 ampere turns",
"opt_C": "150 ampere turns",
"opt_D": "120 ampere turns",
"opt_E": "100 ampere turns",
... |
"Problem Statement:\nTwo substances A and B have the same 0.132-atm vapor press-ure at 15°C, but A has a heat of vaporization of 25,000 (J / mole), whereas B, 35,000 (J / mole). What will be the respective normal boiling points?" | {
"stem_180": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "70.78°C for A and 75.56°C for B",
"opt_B": "90.78°C for A and 81.56°C for B",
"opt_C": "80.78°C for A and 66.56°C for B",
"opt_D": "94.78°C for A... |
"Problem Statement:\nWhat is the conjugate acid of the H2PO4- ion?" | {
"stem_181": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "PO43-",
"opt_B": "H3PO42-",
"opt_C": "H3PO43-",
"opt_D": "H4PO4-",
"opt_E": "H2PO4-",
"opt_F": "H2PO43-",
"opt_G": "HPO42-",
... |
"Problem Statement:\nDetermine the volume in milliliters of .20 M KMnO_4 required to oxidize 25.0 ml of .40 M FeSO_4, in acidic solution. Assume the reaction which occurs is the oxidation of Fe^2+ by MnO^-_4 to give Fe^+3 and Mn^2+." | {
"stem_182": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15 ml",
"opt_B": "12.5 ml",
"opt_C": "5 ml",
"opt_D": "40 ml",
"opt_E": "50 ml",
"opt_F": "20 ml",
"opt_G": "25 ml",
"opt... |
"Problem Statement:\nThe heat capacity of uranium metal is 0.727 cal deg^-1 mole^-1 at 20° K. Calculate the standard absolute entropy of this substance in cal°K^-1 mole at 20° K." | {
"stem_183": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.908 cal mol^-1K^-1",
"opt_B": "0.4846 cal mol^-1K^-1",
"opt_C": "0.727 cal mol^-1K^-1",
"opt_D": "0.12115 cal mol^-1K^-1",
"opt_E": "1.45... |
"Problem Statement:\nIn a particular flow system 1lbmof saturated water at 400°F is heated at constant pressure until it is saturated vapor. If the reservoir temperature is 40°F, calculate the availability of the heat transferred to the water. Assume the process to be reversible and the heat ofvaporisationat 400°F to b... | {
"stem_184": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "300 Btu",
"opt_B": "870 Btu",
"opt_C": "826 Btu",
"opt_D": "396 Btu",
"opt_E": "500 Btu",
"opt_F": "960 Btu",
"opt_G": "410 Btu... |
"Problem Statement:\nFind the Laplace transform of f(t) = t^2." | {
"stem_185": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(2 / s^4)",
"opt_B": "(1 / s^3)",
"opt_C": "(t^2 / s)",
"opt_D": "(t^2 / s^3)",
"opt_E": "(2 / s^3)",
"opt_F": "(4 / s^3)",
"op... |
"Problem Statement:\nAt 395 K, chlorine and carbon monoxide react to form phosgene, COCI_2 , according to the equation CO (g) + Cl_2 (g) \\rightleftarrows COCI_2 (g). The equilibrium partial pressures are PCI_2 = 0.128atm, P_CO = 0.116atm, and P(COCl)2= 0.334atm. Determine the equilibrium constantK_pfor the dissociatio... | {
"stem_186": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.0444 atm, 0.206",
"opt_B": "0.0944 atm, 0.256",
"opt_C": "0.0844 atm, 0.246",
"opt_D": "0.0044 atm, 0.166",
"opt_E": "0.0144 atm, 0.176",... |
"Problem Statement:\nRibonuclease has a partial specific volume of (0.707 cm^3 g^-1) and diffusion coefficient of (13.1 × 10^-7 cm^2 sec^-1) cor-rected to water at 20°C. The density of water at 20°C is 0.998 (g/cm^3). Calculate the molecular weight of ribonuclease using the Svedberg equation. Assume that the sedimentat... | {
"stem_187": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11,000 g/mole",
"opt_B": "13,000 g/mole",
"opt_C": "12,000 g/mole",
"opt_D": "9,000 g/mole",
"opt_E": "15,000 g/mole",
"opt_F": "10,5... |
"Problem Statement:\nThe radioactive decay constant for radium is 1.36 × 10^-11 . How many disintegrations per second occur in 100 g of radium? The molecular weight of radium is 226 g/mole." | {
"stem_188": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.89 × 10^16 dis/sec",
"opt_B": "5.47 × 10^10 dis/sec",
"opt_C": "8.31 × 10^13 dis/sec",
"opt_D": "0.442 dis/sec",
"opt_E": "2.66 × 10^23 d... |
"Problem Statement:\nConsider a capacitor with capacitance C = 10^-6 farad. Assume that initial voltage across this capacitor is\\nu_c(0) = 1 volt. Find the voltage\\nu_c(t) at time t \\geq 0 on this capacitor if the current through it isi_C(t) =cos(10^6t)." | {
"stem_189": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1 + cos (10^6 t)",
"opt_B": "1 + sin (10^6 t)",
"opt_C": "1 - cos (10^6 t)",
"opt_D": "t * cos (10^6 t)",
"opt_E": "1 + cos (10^4 t)",
... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. Calculate the final temperature of a sample of argon of mass $12.0 \\mathrm{~g}$ that is expanded reversibly and adiabatically from $1.0 \\mathrm{dm}^3$ at $273.15 \\mathrm{~K}$ to $3... | {
"stem_190": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "162 $\\mathrm{K}$",
"opt_B": "151 $\\mathrm{K}$",
"opt_C": "120 $\\mathrm{K}$",
"opt_D": "145 $\\mathrm{K}$",
"opt_E": "210 $\\mathrm{K}$",... |
"Problem Statement:\nA certain solution has pH 3.89 at 0°C. FindpOHand [OH-]." | {
"stem_191": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "pOH=12.11, [OH^-]= 7.8 × 10^-13",
"opt_B": "pOH=11.05, [OH^-]= 8.9 × 10^-10",
"opt_C": "pOH=14.00 - pH, [OH^-] is calculated from pOH",
"opt_D": ... |
"Problem Statement:\nFind the capacitance of a single, isolated conducting sphere of radius a." | {
"stem_192": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "C = πε₀a",
"opt_B": "C = 10πε₀a",
"opt_C": "C = 2πε₀a",
"opt_D": "C = 12πε₀a",
"opt_E": "C = 6πε₀a",
"opt_F": "C = 3πε₀a",
"opt... |
"Problem Statement:\n(1) A reaction proceeds five times as fast at 60°C as it does at 30°C. Estimate its energy of activation. (2) For a gas phase reaction with E_A = 40,000 cal/mole, estimate the change in rate constant due to a temperature change from 1000°C to 2000°C." | {
"stem_193": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12.0 k cal / mole, 950 times",
"opt_B": "10.8 k cal / mole, 1050 times",
"opt_C": "9.7 k cal / mole, 2000 times",
"opt_D": "12.5 k cal / mole, 50... |
"Problem Statement:\nDetermine the initial rate of heat transfer from a vertically hung2-ft high flat copper plate to the air at 70°F, 14.7psia. The copper plate was taken out of an annealing furnace at a temperatureof 220°F." | {
"stem_194": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "76.8 Btu/hr-ft^2",
"opt_B": "134.2 Btu/hr-ft^2",
"opt_C": "150 Btu/hr-ft^2",
"opt_D": "0.85 Btu/hr-ft^2",
"opt_E": "85 Btu/hr-ft^2",
... |
"Problem Statement:\nA research worker isolated an unknown compound from one of his reaction products. This compound was a volatile liquid with a boiling point of 65°C. A.134 g sample of the liquid was vaporized and the gas was collected. The temperature of the collecting chamber was kept at 98°C in order that liquefac... | {
"stem_195": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "85.037 g/mole",
"opt_B": "60.043 g/mole",
"opt_C": "130.040 g/mole",
"opt_D": "79.018 g/mole",
"opt_E": "110.026 g/mole",
"opt_F": "9... |
"Problem Statement:\nCalculate the magnitude of the spin angular momentum of a proton. Give a numerical answer. " | {
"stem_196": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.22 $10^{-35} \\mathrm{~J} \\mathrm{~s}$",
"opt_B": "7.89 $10^{-35} \\mathrm{~J} \\mathrm{~s}$",
"opt_C": "6.25 $10^{-35} \\mathrm{~J} \\mathrm{~s}$"... |
"Problem Statement:\nThe pressure in an automobile tire is measured by a tire gauge in winter at 0°C as 30 pounds per square inch (psi). The gauge measures the difference between the actual tire pressure and atmospheric pressure (15 psi). Assume that the tire does not leak air and does not change its volume. What will ... | {
"stem_197": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "34 psi",
"opt_B": "32 psi",
"opt_C": "40 psi",
"opt_D": "35 psi",
"opt_E": "44 psi",
"opt_F": "36 psi",
"opt_G": "45 psi",
... |
"Problem Statement:\nAt 100°C and 720 mm Hg or 720 torr, what is the density of carbon dioxide, CO_2 ?" | {
"stem_198": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.32 g/liter",
"opt_B": "1.15 g/liter",
"opt_C": "1.96 g/liter",
"opt_D": "2.5 g/liter",
"opt_E": "2.0 g/liter",
"opt_F": "1.5 g/lite... |
"Problem Statement:\nA (1/4) in. thick double leather belt is used on a cast steel pulley 50 in. in diameter which rotates at 1000 rpm and transmits 100 hp. Calculate the belt width using the following data: Coefficient of friction between cast-steel and leather = 0.40. Safe stress for belting = 300 psi Joint efficienc... | {
"stem_199": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7(1/2) in.",
"opt_B": "7 in.",
"opt_C": "9 in.",
"opt_D": "6 in.",
"opt_E": "5(1/2) in.",
"opt_F": "9(1/2) in.",
"opt_G": "10 i... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. When $229 \\mathrm{~J}$ of energy is supplied as heat to $3.0 \\mathrm{~mol} \\mathrm{Ar}(\\mathrm{g})$ at constant pressure, the temperature of the sample increases by $2.55 \\mathrm... | {
"stem_200": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "32$\\mathrm{J} \\mathrm{K}^{-1} \\mathrm{~mol}^{-1}$",
"opt_B": "25$\\mathrm{J} \\mathrm{K}^{-1} \\mathrm{~mol}^{-1}$",
"opt_C": "22$\\mathrm{J} \\math... |
"Problem Statement:\nA chemist expands an ideal gas against a constant ex-ternal pressure of 700 mmHg, and finds its volume changes from 50 to 150 liters. He finds that 1.55 Kcal of heat have been absorbed in the process. Determine the internal energy change that took place. 24.217 cal = 1 liter-atm." | {
"stem_201": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-1.25 Kcal",
"opt_B": "1.55 Kcal",
"opt_C": "3.00 Kcal",
"opt_D": "-2.10 Kcal",
"opt_E": "-1.55 Kcal",
"opt_F": "0.75 Kcal",
"o... |
"Problem Statement:\nAssume that the charge of the proton is distributed uniformly throughout the volume of a sphere of radius $10^{-13} \\mathrm{~cm}$. Use perturbation theory to estimate the shift in the ground-state hydrogen-atom energy due to the finite proton size. The potential energy experienced by the electron ... | {
"stem_202": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.4 $10^{-8} \\mathrm{eV}$",
"opt_B": "2.0 $10^{-8} \\mathrm{eV}$",
"opt_C": "1.2 $10^{-8} \\mathrm{eV}$",
"opt_D": "3.0 $10^{-8} \\mathrm{eV}$",... |
"Problem Statement:\nThe transpiration cooling with liquid oxygen as cooling mediumis used to protect the combustion chamber walls frombeing destroyed. The temperature of inside surface of wallsshould be maintained at 1170°R by adding liquid oxygenat 170°R through the porous walls into the chamber. The temperature of t... | {
"stem_204": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "35.6 lb-moles / hr.ft^2",
"opt_B": "18.9 lb-moles / hr.ft^2",
"opt_C": "28.5 lb-moles / hr.ft^2",
"opt_D": "25.0 lb-moles / hr.ft^2",
"opt_... |
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