state unknown | questions unknown |
|---|---|
"Problem Statement:\nSuppose the effect of a magnetic field is to induce a magnetic dipole moment of 10^-23 A m^2 per atom. Let there be 10^27 atoms/m^3. Find the surface current density at a surface making an angle of 45° withM." | {
"stem_411": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6000 A m^-1",
"opt_B": "6500 A m^-1",
"opt_C": "7070 A m^-1",
"opt_D": "5000 A m^-1",
"opt_E": "8000 A m^-1",
"opt_F": "7500 A m^-1",... |
"Problem Statement:\nA sample of liquid NH3 is brought to its boiling point. Which of the following occurs during the boiling process?" | {
"stem_412": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The hydrogen bonds within individual NH3 molecules break apart.",
"opt_B": "The hydrogen bonds holding separate NH3 molecules together become stronger.",
... |
"Problem Statement:\nA column is used to absorb ammonia in water from a feed of airand ammonia. The column is at 1atmand 0°C. Assume theresistance to transfer is completely in the gas phase, in a gasfilm 1.5 mm thick. The partial pressure of NH_3 is 55 mm Hg at one point in the column. What is the transferrate per unit... | {
"stem_413": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.4 × 10^-6gmoles/ cm^2-sec",
"opt_B": "7.1 × 10^-6 gmoles/cm^2-sec",
"opt_C": "2.8 × 10^-6 gmoles/cm^2-sec",
"opt_D": "6.2 × 10^-6gmoles/ cm^2-s... |
"Problem Statement:\nThe vapor pressure of lithium is given in the form of the following equation: lnp° = [(- 3.29 × 10^4°R) / T] + 14.05 where p is in psi and T is °R. The equation is applicable over a range of temperatures from 2500 to 2900°F. If the density of liquid and vapor are 25.6lb_m/ft^3 and 0.092lb_m/ft^3, r... | {
"stem_414": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8500 Btu/lb_m",
"opt_B": "7650 Btu/lb_m",
"opt_C": "8000 Btu/lb_m",
"opt_D": "7500 Btu/lb_m",
"opt_E": "8200 Btu/lb_m",
"opt_F": "810... |
"Problem Statement:\nCalculate the number of electrons that can be removed from metallic cesium with the energy required to remove one electron from an isolated cesium atom. Assume the following: the ionization potential of Cs = 3.89eV, h = 6.63 × 10^-34 J sec, and Cs metal is sensitive to red light of 700 nm." | {
"stem_415": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1",
"opt_B": "7",
"opt_C": "4",
"opt_D": "3",
"opt_E": "6",
"opt_F": "2",
"opt_G": "9",
"opt_H": "8",
"opt_I": "5",... |
"Problem Statement:\nThe mass of an electron is 9.109 × 10^-28 g. What is the atomic weight of electrons?" | {
"stem_417": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.67 × 10^-24 g/mole",
"opt_B": "9.109 × 10^28 g",
"opt_C": "9.109 × 10^-28 g/mole",
"opt_D": "1.00 × 10^-3 g/mole",
"opt_E": "3.01 × 10^23... |
"Problem Statement:\nCalculate the effect of armature reaction in a machine that is designed as follows: Series conductors per phase= 240 Slot width, a_3= - 0.504 in. Slot depth, b_c= 2.5 in. Pole pitch, \\tau= 6.024 in. Axial length of stacking, L= 4.5 in. Number of stator slots, S_1= 144 Phases, m= 3 Poles, P= 24 Pit... | {
"stem_418": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.5 ohm",
"opt_B": "0.95 ohm",
"opt_C": "1.10 ohm",
"opt_D": "0.75 ohm",
"opt_E": "1.65 ohm",
"opt_F": "0.545 ohm",
"opt_G": "0... |
"Problem Statement:\nWhat is the value of log 0.0148?" | {
"stem_419": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.0000",
"opt_B": "-0.1703",
"opt_C": "-2.1703",
"opt_D": "-0.8297",
"opt_E": "-1.1703",
"opt_F": "-1.8297",
"opt_G": "0.0148",... |
"Problem Statement:\nCopper normally solidifies at a temperature of 1356°K, but canexist in the super-cooled liquid form up to a temperature of1120°K, after which it starts solidifying spontaneously. Determine the entropy change for the solidification of copper atits temperature of spontaneous solidification (1120°K). ... | {
"stem_420": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 2.50 cal deg^-1 mole^-1",
"opt_B": "- 2.09 cal deg^-1 mole^-1",
"opt_C": "- 2.23 cal deg^-1 mole^-1",
"opt_D": "- 1.95 cal deg^-1 mole^-1",
... |
"Problem Statement:\nWater (density) = 62.4 lb/ft^3, viscosity = 0.000672 lb/(ft) (sec) flows in a tube of 0.25 in. bore at a velocity of 1 fps. What is the drop in pressure in a length of 10 ft?" | {
"stem_421": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15.38psf",
"opt_B": "8.22psf",
"opt_C": "17.89psf",
"opt_D": "9.78psf",
"opt_E": "20.25psf",
"opt_F": "18.67psf",
"opt_G": "10.... |
"Problem Statement:\nThe moving coil-meters, damping is provided by" | {
"stem_422": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "the resistance of the coil.",
"opt_B": "the inertia of the coil.",
"opt_C": "the coil spring attached to the moving.",
"opt_D": "the electric cha... |
"Problem Statement:\nTwo 50 kg pieces of copper, one at 175°C and the other at 40°C, are in contact with each other. The heat flow between the two pieces of copper is given by q =mC_P\\DeltaT, where C_P = 385 J kg^-1 K^-1 . Calculate the final tempera-ture and the amount of heat transferred between the two pieces of co... | {
"stem_423": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "95°C and -1500 kJ",
"opt_B": "100°C and -2000 kJ",
"opt_C": "87.5°C and -935 kJ",
"opt_D": "120°C and -1000 kJ",
"opt_E": "90°C and -1800 k... |
"Problem Statement:\nPhosphate can be removed from sewage effluent by adding magnesium oxide and ammonium ion according to the re- action 5H_2O + H_2PO^-_4 + MgO + NH^+_4 \\rightarrow Mg(NH_4)PO_4 \\bullet 6H_2O. The magnesium ammonium phosphate hexahydrate (Mg(NH_4)PO_4 \\bullet6H_2O) precipitates out. In theory, how ... | {
"stem_424": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.866 × 10^3 kg",
"opt_B": "5852 kg",
"opt_C": "1.433 × 10^4 kg",
"opt_D": "1343 kg",
"opt_E": "1.433 × 10^3 kg",
"opt_F": "585.2 kg"... |
"Problem Statement:\nFind the inverse Laplace transform L^-1[1 / {s(s^2 + 4)}], using the convolution." | {
"stem_425": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(1 / 2)(e^(2t) - 1)",
"opt_B": "(1 / 2)(1 + cos2t)",
"opt_C": "(1 / 4)(1 - cos2t)",
"opt_D": "(1 / 4)(sin(2t) - cos(2t))",
"opt_E": "(1 / 2... |
"Problem Statement:\nTest data for a 10-kva, 2,300/230-volt, 60-cycle-per- second distributiontransformer are as follows: open- circuit test, with inputto low side, 230 volts, 0.62 amp, 69 watts?short-circuit test, with input to high side, 127 volts, 4.9 amp, 263 watts? ohmicresistance test with input to low side 1.89 ... | {
"stem_426": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "90.5%, 98.3%",
"opt_B": "93.8%, 92.4%",
"opt_C": "92.5%, 95.3%",
"opt_D": "97.3%, 96.1%",
"opt_E": "95.6%, 93.7%",
"opt_F": "99.2%, 9... |
"Problem Statement:\nA worm gear has a triple-threaded worm with a 2.5 in. lead and a gear of 3.5 in. normaldiametralpitch. The number of teeth on the gear is 32. Determine the distance between the shaft centers and the pitch diameters of the worm and the gear." | {
"stem_428": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.3 in.",
"opt_B": "7.1 in.",
"opt_C": "5.7 in.",
"opt_D": "5.5 in.",
"opt_E": "6.5 in.",
"opt_F": "7.3 in.",
"opt_G": "6.9 in.... |
"Problem Statement:\nA response transformV_ab(s) is related to a source transform V(s) by V_ab(s) = [{3V(s) + 3s + 27} / (s^2 + 6s + 8)] Findv_ab(t) if v(t) = 16e^-3tu(t)." | {
"stem_429": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 48e^-3t - (68 / 2)e^-2t + (33 / 2)e^-4t",
"opt_B": "16e^-3t + (69 / 2)e^-2t + (33 / 2)e^-4t",
"opt_C": "- 48e^-3t+ (69 / 2)e^-2t + (33 / 3)e^-4t",
... |
"Problem Statement:\nThe 99Ru chemical shift of [Ru(H2O)6]2+ is 16,050 ppm relative to [Ru(CN)6]2- at 0 ppm. The electronic excitation energies of [Ru(H2O)6]2+, [Ru(CN)6]2- and [Ru(NH3)6]2+ are 18,900, 40,000 and 25,600 cm-1 respectively. Assuming that the chemical shift differences are dominated by paramagnetic curren... | {
"stem_430": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "17,030 ppm",
"opt_B": "7,530 ppm",
"opt_C": "12,760 ppm",
"opt_D": "11,070 ppm",
"opt_E": "8,090 ppm",
"opt_F": "15,920 ppm",
"... |
"Problem Statement:\nA gaseous mixture with a molecular weight of M = 20 lb/lbmolmoves through a pipeline of 14in. diameter and the Darcy friction factor is f = 0.013. The pressure at the end of the line is 17psia= P_2 and the temperature of the gas is constant at 65°F. If the pipeline is 17500 ft. long, determine the ... | {
"stem_431": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "615 hp",
"opt_B": "590 hp",
"opt_C": "720 hp",
"opt_D": "656 hp",
"opt_E": "620 hp",
"opt_F": "700 hp",
"opt_G": "550 hp",
... |
"Problem Statement:\nCalculate the characteristicvibrationalfrequency of the lowest vibration state for H_2. Assume k = 5.1newtons/cm and h = 6.63 × 10^-34 J-sec." | {
"stem_432": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.4 × 10^13 sec^-1",
"opt_B": "1.25 × 10^14 sec^-1",
"opt_C": "5.1 sec^-1",
"opt_D": "3.0 × 10^15 sec^-1",
"opt_E": "1.66 × 10^-24 sec^-1",... |
"Problem Statement:\nOn the basis of oxidation-reduction potential, which of the following is most likely to occur?" | {
"stem_433": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Fe(s) + 2 KNO3(aq) → 2 K(s) + Fe(NO3)2(aq)",
"opt_B": "Mg(s) + 2 KNO3(aq) → 2 K(s) + Mg(NO3)2(aq)",
"opt_C": "Pb(s) + Ca(NO3)2(aq) → Ca(s) + Pb(NO3)2(a... |
"Problem Statement:\nThe temperature of the fireball in a thermonuclear explosion can reach temperatures of approximately $10^7 \\mathrm{~K}$. What value of $\\lambda_{\\max }$ does this correspond to? " | {
"stem_434": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2 $10^{-10} \\mathrm{~m}$",
"opt_B": "1 $10^{-10} \\mathrm{~m}$",
"opt_C": "7 $10^{-10} \\mathrm{~m}$",
"opt_D": "6 $10^{-10} \\mathrm{~m}$",
... |
"Problem Statement:\nThe strongest base in liquid ammonia is" | {
"stem_435": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "NH2−",
"opt_B": "NH3",
"opt_C": "NH+",
"opt_D": "N2H4",
"opt_E": "N2H5",
"opt_F": "NH4+",
"opt_G": "NH3+",
"opt_H": "NH4−... |
"Problem Statement:\nFor the reaction I_2 (g) \\rightleftarrows 2I(g), K = 3.76 × 10\\Elzbar5at 1000°K . Suppose you inject 1 mole of I_2 into a 2.00 liter-box at 1000° K . What will be the final equilibrium concentrations of I_2 and of I?" | {
"stem_436": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "I = 4.34 × 10^5 M and I_2 = .498 M",
"opt_B": "I = 2.17 × 10^5 M and I_2 = .498 M",
"opt_C": "I = 1.88 × 10^5 M and I_2 = .501 M",
"opt_D": "I = ... |
"Problem Statement:\nAt what value of Z would the innermost orbit be expected to be pulled inside a nucleus of radius 1.0 × 10^-13 cm, assuming simple Bohr theory and Bohr radius = 0.5292 × 10^-8 cm? (Assume N = 1.)" | {
"stem_437": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.292 × 10^4",
"opt_B": "6.292 × 10^4",
"opt_C": "5.292 × 10^4",
"opt_D": "7.292 × 10^4",
"opt_E": "2.292 × 10^4",
"opt_F": "3.292 × ... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. A strip of magnesium of mass $15 \\mathrm{~g}$ is placed in a beaker of dilute hydrochloric acid. Calculate the work done by the system as a result of the reaction. The atmospheric pr... | {
"stem_438": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$-1.5$$\\text{kJ}$ ",
"opt_B": "$0 \\text{kJ}$ (No work done)",
"opt_C": "$-3.5 \\text{kJ}$",
"opt_D": "$-0.5 \\text{kJ}$",
"opt_E": "$-2.0... |
"Problem Statement:\nA gas in two dimensions is enclosed in a rectangular container. Calculate the number of molecular collisions on a unit length of the container." | {
"stem_439": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Z = [(Nc^2) / (π)]",
"opt_B": "Z = [(Nc) / (2π)]",
"opt_C": "Z = [2(Nc) / (π)]",
"opt_D": "Z = [(Nc) / (π)]",
"opt_E": "Z = [(N/c) / (π)]",... |
"Problem Statement:\n2 moles of a monoatomic ideal gas at 45°C are compressed adiabatically and reversibly from 75 liters to 20 liters. Calculate q, W, \\DeltaH and \\DeltaE for the process, excluding vi-brationalcontributions." | {
"stem_440": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "q=0, ΔE=15.00kJ, ΔH=22.50kJ",
"opt_B": "q=11.21kJ, ΔE=0, ΔH=18.68kJ",
"opt_C": "q=0, ΔE=18.68kJ, ΔH=11.21kJ",
"opt_D": "q=18.68kJ, ΔE=18.68kJ, ΔH... |
"Problem Statement:\nThedegeneraciesof the singlet (paired electron spins) or triplet (unpaired spins) levels of a certain molecule are 1 and 3, respectively. The energy of the singlet state is greater than that of the triplet by a factor \\epsilon. a) Write the electronic factor in the partition function of the molecu... | {
"stem_441": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.718",
"opt_B": "0.123",
"opt_C": "3.67 x 10^-2",
"opt_D": "1.38 x 10^-14",
"opt_E": "0.3678",
"opt_F": "0.33",
"opt_G": "0.77... |
"Problem Statement:\nFor sea water with \\gamma = 5 mhos/meter and\\epsilon_r= 80, find the distance a radio signal can be transmitted at 25kcps and 25mcps, if the range is taken to be the distance at which 90 per cent of the wave amplitude is attenuated." | {
"stem_442": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.5 meters for 25kcps and 15 cm for 25mcps",
"opt_B": "5 meters for 25mcps and 20 cm for 25kcps",
"opt_C": "1 meter for 25kcps and 30 cm for 25mcps",
... |
"Problem Statement:\nThe 13C chemical shifts of benzene and chloroform are 128.4 ppm and 77.2 ppm respectively. What is the difference in the 13C NMR frequencies of the two compounds on a 600 MHz spectrometer?" | {
"stem_443": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.73 kHz",
"opt_B": "60.3 kHz",
"opt_C": "122 kHz",
"opt_D": "500 kHz",
"opt_E": "15.4 kHz",
"opt_F": "30.7 kHz",
"opt_G": "183... |
"Problem Statement:\nThe inner sphere of a Dewar flask containingliquified oxygenis 1.2 ft diameter and the outer sphere is 1.8 ft diameter. Both spheres are plated for which \\epsilon = 0.04. Determine the rate at which liquid oxygen would evaporate atits boiling point - 297°F when the outer sphere temperatureis 25°F.... | {
"stem_444": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 11.37 Btu/hr",
"opt_B": "- 8.37 Btu/hr",
"opt_C": "- 12.37 Btu/hr",
"opt_D": "- 10.37 Btu/hr",
"opt_E": "- 9.37 Btu/hr",
"opt_F": "... |
"Problem Statement:\nCalculate the diameter of a steel AISI-C1035 rod to resist a steady axial load of 7500 lbs., and a fluctuating load from 0 to 12,500 lbs. The rod has a stress concentration factor of 2.1 for a fillet radius of 1/8 in. Assume a factor of safety of 2.1." | {
"stem_446": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1 1/4 in. diameter",
"opt_B": "1 7/8 in. diameter",
"opt_C": "1 3/4 in. diameter",
"opt_D": "1 3/8 in. diameter",
"opt_E": "2 in. diameter"... |
"Problem Statement:\nAn electric saw uses a no. 50 chain of pitch 5/8 in. that runs onsprockets; the smaller having 18 teeth. For conditions of smoothoperation, calculate the horsepower transmitted if, (a)smallersprocket rotates at 1000 rpm. (b)smallersprocket rotates at 2000 rpm." | {
"stem_447": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "16.33 hp and 14.966 hp",
"opt_B": "12.33 hp and 10.966 hp",
"opt_C": "14.33 hp and 12.966 hp",
"opt_D": "8.33 hp and 6.966 hp",
"opt_E": "1... |
"Problem Statement:\nA 2.5 ft. long copper pipe with a 1.25 in. I.D. carries air at a velocity of 15 ft/min. The entrance temperature of the air is 65°F. Condensing steam on the exterior of the tube has a heat transfer coefficient of 2000 Btu/hr-ft^2-°F. Determine the rate of heat transfer to the air." | {
"stem_448": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20.5 Btu/hr",
"opt_B": "19.5 Btu/hr",
"opt_C": "16.4 Btu/hr",
"opt_D": "23.1 Btu/hr",
"opt_E": "18.9 Btu/hr",
"opt_F": "12.7 Btu/hr",... |
"Problem Statement:\nConsider a carrier m(t) = n(t) \\bulletcos(\\omega_ot+ \\texttheta), amplitude modulated by the noise n(t), where \\texttheta is a random variable with a probability density f(\\texttheta) = {1 / 2\\pi}- \\pi \\leq \\texttheta \\leq \\pi and = 0elsewhere. If E[n^2(t)] = \\sigma^2 and \\texttheta an... | {
"stem_449": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(1/3)σ^2",
"opt_B": "σ^2/π",
"opt_C": "σ^4",
"opt_D": "πσ^2",
"opt_E": "(1/4)σ^2",
"opt_F": "2σ^2",
"opt_G": "(3/4)σ^2",
... |
"Problem Statement:\nWhat will be the relative concentrations of Zn^+2 and Cu^+2 when the cell Zn; Zn+2II Cu^+2; Cu has completely run down? (E° = 1.10 volts)." | {
"stem_450": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The concentration of Cu^+2 is slightly greater than Zn^+2",
"opt_B": "Both Zn^+2 and Cu^+2 are completely depleted",
"opt_C": "The concentration of Cu^... |
"Problem Statement:\nSolve x^2 - 7x + 10 = 0." | {
"stem_451": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3, 4",
"opt_B": "1, 3",
"opt_C": "4, 6",
"opt_D": "6, 1",
"opt_E": "-5, -2",
"opt_F": "-2, 5",
"opt_G": "7, 9",
"opt_H": ... |
"Problem Statement:\nAn air-vapor mixture consisting of 1lbmof dry air and 015lbmof vapor is at 85°F and 20psia. Find the partial pressure of water vapor." | {
"stem_452": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.1234psia",
"opt_B": "1.0psia",
"opt_C": "0.4719psia",
"opt_D": "0.5964psia",
"opt_E": "5.0psia",
"opt_F": "0.75psia",
"opt_G"... |
"Problem Statement:\nCalculate the Larmor frequency for a proton in a magnetic field of 1 T." | {
"stem_453": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "23.56 GHz",
"opt_B": "50 MHz",
"opt_C": "100 MHz",
"opt_D": "42.58 MHz",
"opt_E": "1 GHz",
"opt_F": "13.93 MHz",
"opt_G": "10 M... |
"Problem Statement:\nOn a very cold day in Alaska the temperature is measured to be - 60°C. Assuming atmospheric pressure to be 100kPa, calculate the value of the saturation pressure of the water vapor in theall." | {
"stem_454": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5kPa",
"opt_B": "0.0129kPa",
"opt_C": "0.2kPa",
"opt_D": "0.0005kPa",
"opt_E": "100kPa",
"opt_F": "0.00109kPa",
"opt_G": "11.87... |
"Problem Statement:\nThe vapor pressure of ethylene is given as a function of temperature by the equation log P = - [(834.13) / T] + 1.75 log T - 8.375 × 10^-3T + 5.32340 Calculate the enthalpy of vaporization of ethylene at its normal boiling point (- 103.9°C)." | {
"stem_455": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12.838 kJ mol^-1",
"opt_B": "16.838 kJ mol^-1",
"opt_C": "18.838 kJ mol^-1",
"opt_D": "19.838 kJ mol^-1",
"opt_E": "13.838 kJ mol^-1",
... |
"Problem Statement:\nHydrogen gas is to be heated by means of forced convection in a pipe. This experiment will first be modeled on a smaller scale, using air as the flow component. The prototype specifications are: G_H = 4210lbm/ft^2-hrd_iH= 0.1727 ft L_H = 18.5 ft\\mu_H= 0.0242lbm/ft-hr C_pH= 3.4 Btu/lbm-°F while the... | {
"stem_456": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "L_A = 5.84 ft, G_A = 59,444lbm/ft^2-hr, h_H/h_A = 3.01",
"opt_B": "L_A = 3.34 ft, G_A = 34,444lbm/ft^2-hr, h_H/h_A = 1.01",
"opt_C": "L_A = 4.22 ft, G_... |
"Problem Statement:\nCalculate the equilibrium mixture of the carbon monoxide combustionreaction at 2504°C and 1atmpressure. Assume that the CO reacts with astoichiometricamount ofair and thatK_pfor the reaction is equal to 49.365." | {
"stem_458": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "y = 0.168",
"opt_B": "y = 0.768",
"opt_C": "y = 0.368",
"opt_D": "y = 0.068",
"opt_E": "y = 0.968",
"opt_F": "y = 0.268",
"opt_... |
"Problem Statement:\nA single line is seen in the 31P spectrum of a solution of sodium phosphate. The 31P chemical shifts of H2PO4‾ and HPO42– are 3.42 ppm and 5.82 ppm respectively. What is the chemical shift when the pH of the solution equals the pKa of H2PO4‾?" | {
"stem_459": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.10 ppm",
"opt_B": "3.98 ppm",
"opt_C": "5.00 ppm",
"opt_D": "3.41 ppm",
"opt_E": "4.33 ppm",
"opt_F": "3.50 ppm",
"opt_G": "5... |
"Problem Statement:\nThe molecular weight of nicotine, a colorless oil, is 162.1 and it contains 74.0 % carbon, 8.7 % hydrogen, and 17.3 % nitrogen. Using three significant figures for the atomic weights, calculate the molecular formula of nicotine." | {
"stem_460": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "C_11H_12N_2",
"opt_B": "C_9H_10N_2",
"opt_C": "C_8H_10N_2",
"opt_D": "C_10H_12N_4",
"opt_E": "C_12H_16N_2",
"opt_F": "C_8H_14N_2",
... |
"Problem Statement:\nCalculate the sedimentation coefficient of tobacco mosaic virus from the fact that the boundary moves with a velocity of 0.454 (cm/hr) in an ultracentrifuge at a speed of 10,000 rpm at a distance of 6.5 cm from the axis of the centrifuge rotor." | {
"stem_461": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.5 sec",
"opt_B": "3.5 × 10^-13 sec",
"opt_C": "9.81 × 10^-8 sec",
"opt_D": "5.55 × 10^-6 sec",
"opt_E": "8.9 × 10^-10 sec",
"opt_F"... |
"Problem Statement:\nA chemical reaction takes place in a container of cross-sectional area $50 \\mathrm{~cm}^2$. As a result of the reaction, a piston is pushed out through $15 \\mathrm{~cm}$ against an external pressure of $1.0 \\mathrm{~atm}$. Calculate the work done by the system." | {
"stem_462": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-120 $\\mathrm{~J}$",
"opt_B": "60 $\\mathrm{~J}$",
"opt_C": "-45 $\\mathrm{~J}$",
"opt_D": "-75 $\\mathrm{~J}$",
"opt_E": "30 $\\mathrm{~J... |
"Problem Statement:\nFind log 0.0364." | {
"stem_463": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-1.4389",
"opt_B": "-1.5000",
"opt_C": "-1.5912",
"opt_D": "-1.3640",
"opt_E": "-1.4123",
"opt_F": "-2.0364",
"opt_G": "-1.6392... |
"Problem Statement:\nThe latching current of SCR is 20 mA. Its holding current will be" | {
"stem_464": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5 mA.",
"opt_B": "23 mA.",
"opt_C": "25 mA.",
"opt_D": "20 mA.",
"opt_E": "30 mA.",
"opt_F": "40 mA.",
"opt_G": "50 mA.",
... |
"Problem Statement:\nAt a certain temperature, the half-life for the decomposition of SO_2CI_2 is 4.00 hours, (a) In what period of time would the concentration of SO_2CI_2 be reduced to 10% of the origi-nal? (b) Starting with 100 mg of SO_2Cl_2 what weight would be left at the end of 6.50 hours? The reaction is first ... | {
"stem_465": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.6 hrs, 27.8 mg",
"opt_B": "14.2 hrs, 33.2 mg",
"opt_C": "12.9 hrs, 34.2 mg",
"opt_D": "16.0 hrs, 28.9 mg",
"opt_E": "13.8 hrs, 31.5 mg",... |
"Problem Statement:\na) Oxygen at 30°C and 1.0MPa b) Nitrogen at - 100°C and 10MPa c) Water at 40°C and 10kPa. Determine whether it is reasonable to assume that the given substance behaves as an ideal gas at the specified state." | {
"stem_466": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a) Oxygen: Reasonable, b) Nitrogen: Not reasonable, c) Water: Reasonable",
"opt_B": "a) Oxygen: Not reasonable, b) Nitrogen: Reasonable, c) Water: Reasonable... |
"Problem Statement:\nA first-order reaction has a half-life of 34 minutes. What is the rate constant for this reaction?" | {
"stem_467": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "34 s-1",
"opt_B": "34 min",
"opt_C": "3.4 × 10^-4 s-1",
"opt_D": "2.9 × 10^-1 min-1",
"opt_E": "6.8 × 10^-2 min^-1",
"opt_F": "6.8 × ... |
"Problem Statement:\nThe molar absorptivity of phytochome (a light-sensitive pigment thought to control the process of flowering in plants) is 76,000. What will be the absorbance of a 5.0 × 10^-6 molar aqueous solution of phytochome if the pathlength of the cell is 1.0 cm?" | {
"stem_468": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.76",
"opt_B": "1.90",
"opt_C": "0.0076",
"opt_D": "0.57",
"opt_E": "0.19",
"opt_F": "1.52",
"opt_G": "7.60",
"opt_H": "... |
"Problem Statement:\nFind the inverse Laplace transform L^-1[1 / {s(s^2 + 1)}], using the convolution." | {
"stem_469": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "sin t - t",
"opt_B": "1 - cos t",
"opt_C": "t sin t",
"opt_D": "e^t - 1",
"opt_E": "1 - e^-t",
"opt_F": "sin t",
"opt_G": "e^t ... |
"Problem Statement:\nA saturated solution of CaF_2 contains .00168g of CaF_2 per 100g of water. Determine theK_sp." | {
"stem_470": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.11 × 10^-8",
"opt_B": "2.73 × 10^-8",
"opt_C": "1.08 × 10^-8",
"opt_D": "3.92 × 10^-8",
"opt_E": "4.77 × 10^-8",
"opt_F": "7.84 × 1... |
"Problem Statement:\nThe $J=2$ to 3 rotational transition in a certain diatomic molecule occurs at $126.4 \\mathrm{GHz}$, where $1 \\mathrm{GHz} \\equiv 10^9 \\mathrm{~Hz}$. Find the frequency of the $J=5$ to 6 absorption in this molecule." | {
"stem_471": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "315.2 $\\mathrm{GHz}$",
"opt_B": "252.8 $\\mathrm{GHz}$",
"opt_C": "158.6 $\\mathrm{GHz}$",
"opt_D": "347.2 $\\mathrm{GHz}$",
"opt_E": "283... |
"Problem Statement:\nCalculate the de Broglie wavelength of an electron moving at 1/137th the speed of light. (At this speed, the relativistic correction to the mass is negligible.)" | {
"stem_472": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.750$\\mathrm{~nm}$",
"opt_B": "0.275$\\mathrm{~nm}$",
"opt_C": "0.137$\\mathrm{~nm}$",
"opt_D": "0.225$\\mathrm{~nm}$",
"opt_E": "0.089$\... |
"Problem Statement:\nWhat is the magnetic moment of 205Tl?" | {
"stem_473": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.600 x 10^-26 J T-1",
"opt_B": "[ɣ (205TI = 1.569 x 108 T-1 s-1, I = ½]",
"opt_C": "1.433 x 10^-26 J T-1",
"opt_D": "0.717 x 10^-26 J T-1",
... |
"Problem Statement:\nThe total copper loss of a transformer as determined by a short-circuit test at 20°C is 630 watts, and the copper loss computed from the true ohmic resistance at the same temperature is 504 watts. What is the load loss at the working temperature of 75°C?" | {
"stem_474": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "630 watts",
"opt_B": "672 watts",
"opt_C": "810 watts",
"opt_D": "945 watts",
"opt_E": "750 watts",
"opt_F": "560 watts",
"opt_... |
"Problem Statement:\nA helical spring, having square and ground ends has a total of18 coils and its material has a modulus of elasticity in shearof 12 × 10^6 psi. Find out the maximum deflection that canbe produced in the spring due to a load of 90 lbs. if the springhas an outside diameter of 3.8 in. and an inside diam... | {
"stem_475": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14 in.",
"opt_B": "12 in.",
"opt_C": "10 in.",
"opt_D": "13 in.",
"opt_E": "7 in.",
"opt_F": "16 in.",
"opt_G": "11 in.",
... |
"Problem Statement:\nA thick brick wall has a surface which experiences a daily temperature variation from 50°F to 130°F. The properties of the brick are: k = 0.4 Btu/hr. ft.^2(°F/ft) C_p = 0.3 Btu/lb. °F \\rho = 120 lb/ft^3 \\alpha = (k / c\\rho) = 0.01111 ft^2/hr Assume the variation to be cosine in nature, and the c... | {
"stem_476": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 6.37 hrs, (b) 11.74°F, (c) 13.84°F, (d) 700 Btu/hrft^2",
"opt_B": "(a) 7.37 hrs, (b) 6.50°F, (c) 5.50°F, (d) 530 Btu/hrft^2",
"opt_C": "(a) 4.00 hr... |
"Problem Statement:\nThe emissivity of a hemispherical surface of a 2 in. diameter steel rod is 0.88. The surface temperature of the rod is 1400°F. The rod is quenched in saturated water at 220°F. Determine the average heat transfer coefficient between the horizontal bar and the water." | {
"stem_477": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "38.48 Btu/hr-ft^2 -°F",
"opt_B": "42.55 Btu/hr-ft^2 -°F",
"opt_C": "29.84 Btu/hr-ft^2 -°F",
"opt_D": "27.39 Btu/hr-ft^2 -°F",
"opt_E": "37.... |
"Problem Statement:\nFind the ratio of reflected power to incident power, for a 75-ohm load on a 50-ohm line. Suppose a 50-ohm load is used instead of the 75-ohm load, what does it signify for an incident power of 50W?" | {
"stem_478": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2 percent of the power is reflected; source supplies 49W power to the load with 50 ohm",
"opt_B": "11 percent of the power is reflected; source supplies 44.5... |
"Problem Statement:\nThe Russell-Saunders coupling of the angularmomenta of two atomicorbitalsgives rise to a quantum number L in which all the angular quantum numbers,l_i, are combined vectorially. That is, L = l_1 + l_2 , l_1 + l2- 1, ... , \\vertl1- l_2\\vert What will be the values of L when a p and a d electron in... | {
"stem_479": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3, 2, 0",
"opt_B": "4, 2, 1",
"opt_C": "2, 1, 0",
"opt_D": "2, 1, 1",
"opt_E": "5, 3, 1",
"opt_F": "1, 0, -1",
"opt_G": "3, 2, ... |
"Problem Statement:\nGiven that the earth's mean radius = 6.37 × 10^6 m, normal atmosphere pressure = 1.013 × 10^5 N/m_2, and the gravitational acceleration = 9.8 m/sec^2, what is the mass of the homosphere?" | {
"stem_480": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.10 × 10^18 kg",
"opt_B": "6.35 × 10^18 kg",
"opt_C": "3.14 × 10^18 kg",
"opt_D": "7.25 × 10^18 kg",
"opt_E": "5.27 × 10^18 kg",
"op... |
"Problem Statement:\n.0324 Faradays (F) liberated .651g of Calcium. What is the atomic weight of Calcium?" | {
"stem_481": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "35.7",
"opt_B": "40.2",
"opt_C": "24.6",
"opt_D": "50.5",
"opt_E": "45.8",
"opt_F": "80.4",
"opt_G": "20.1",
"opt_H": "70... |
"Problem Statement:\nFind the distance between a plane passing through the centers of one close-packed layer of spheres and an-other plane passing through the centers of an adjacent close- packed layer. You may assume that all spheres are identical with a radius of .200 nm." | {
"stem_482": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".225 nm",
"opt_B": ".400 nm",
"opt_C": ".5657 nm",
"opt_D": ".200 nm",
"opt_E": ".9798 nm",
"opt_F": ".327 nm",
"opt_G": ".500 ... |
"Problem Statement:\nA laboratory analyst puts Fehling solution in a test tube and then adds the urine of a diabetic which contains some sugar. On heating, what red copper compound precipitates?" | {
"stem_483": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Cu_2O",
"opt_B": "Cu3(PO4)2",
"opt_C": "CuO",
"opt_D": "Cu2SO4",
"opt_E": "CuOH",
"opt_F": "Cu(NO3)2",
"opt_G": "CuCl2",
... |
"Problem Statement:\nA solid cylindrical shaft, 2 in. dia. 18 in. long, is used for the transmission of mechanical power at a rate of 45 hp running at 1500 rpm. The modulus of rigidity for the material used is 14 × 10^6 psi. Calculate a) the shear stress acting on the shaft; b) the torsional deflection of the shaft." | {
"stem_484": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Shear stress is approximately 1300 psi and torsional deflection is approximately 0.095 degrees",
"opt_B": "Shear stress is approximately 1500 psi and torsion... |
"Problem Statement:\nMethane reacts with water vapor at 25°C by the following reaction : CH_4(g) + H_2O(g) \\rightleftharpoons CO(g) + 3H_2(g) Using the following data, calculate the standard Gibbs free-energychange for this reaction. Data \\DeltaH_298^0(kcal mole^-1) \\DeltaS_298^0(cal deg^-1 mole^-1) CH_4(g) - 17.89 ... | {
"stem_485": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "34 kcal/mole",
"opt_B": "49,290 kcal/mole",
"opt_C": "-10 kcal/mole",
"opt_D": "24.2 kcal/mole",
"opt_E": "60 kcal/mole",
"opt_F": "1... |
"Problem Statement:\nConsider the following reaction 3H_2(g) + N_2(g) = 2NH_3(g) in which a mixture of hydrogen and nitrogen in a 3:1 mole ratio is passed over a catalyst at 400°C. Calculate the total pressure if the mole fraction of ammonia in the equilibrium mixture is to be 10%, andK_p= 0.00164 atm^-2." | {
"stem_486": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9.4 atm",
"opt_B": "6.4 atm",
"opt_C": "12.4 atm",
"opt_D": "7.4 atm",
"opt_E": "11.4 atm",
"opt_F": "10.4 atm",
"opt_G": "13.4... |
"Problem Statement:\n1 mole of CO_2 (liq) at 273°K is cooled to CO_2 (liq) at 194.4°K. The cooling is carried out reversibly and irreversibly by placing the sample in liquid hydrogen at 13.96°K. Calcu-late the values of the entropy changes for the process given that \\DeltaH(vaporization) = 23,175.2(J/mole) at 194.4°K ... | {
"stem_487": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2120.5 (J/K)",
"opt_B": "1555.3 (J/K)",
"opt_C": "131.46 (J/K)",
"opt_D": "1204.8 (J/K)",
"opt_E": "1450.2 (J/K)",
"opt_F": "1731.7 (... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Note that 1 atm = 1.013 25 bar. Unless otherwise stated, thermochemical data are for 298.15 K. An average human produces about $10 \\mathrm{MJ}$ of heat each day through metabolic activity. If a human body were an isolated system of mass $65 \\m... | {
"stem_488": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+55$\\text{K}$",
"opt_B": "+65$\\text{K}$",
"opt_C": "+42$\\text{K}$",
"opt_D": "+60$\\text{K}$",
"opt_E": "+37$\\text{K}$ ",
"opt_F"... |
"Problem Statement:\nWhat is the effect on the absorption rate due to raising the totalpressure from 1 to 3atmin the following situations : (I) The absorption of methane from an air-methane mixture which has 15 percent CH_4 by volume. Pure water is used as the solvent. Assume the gas film offers the main resistance to ... | {
"stem_489": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Pressure change increases absorption rate by 10 percent in the first case, and has no effect in the second case",
"opt_B": "Pressure change increases the abs... |
"Problem Statement:\nFind f(t) {_\\ast} g(t), where f(t) = t and g(t) = t^2, and the asterisk indicates convolution." | {
"stem_490": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(2t^4 / 3)",
"opt_B": "(t^4 / 12)",
"opt_C": "(t^5 / 20)",
"opt_D": "t^3",
"opt_E": "(t^4 / 4)",
"opt_F": "(t^2)",
"opt_G": "(t... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298 K unless otherwise stated. 3.17 Estimate the standard reaction Gibbs energy of $\\mathrm{N}_2(\\mathrm{~g})+3 \\mathrm{H}_2(\\mathrm{~g}) \\rightarrow$ $2 \\mathrm{NH}_3(\\mathrm{~g})$ at $1000 \\mathrm{~K}$ from their values at $298 \\ma... | {
"stem_491": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-16$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_B": "+250$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "+134$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_D... |
"Problem Statement:\nA gaseous sample of neon, maintained at constant tem-perature, occupies 500 ml at 2.00 atm. Calculate the volume when the pressure is changed to each of the following:(a)4.00 atm;(b)760 torr;(c)1.8 × 10^-3 torr." | {
"stem_492": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 0.25 l, (b) 0.50 l, (c) 1.11 × 10^6 l",
"opt_B": "(a) 1.00 l, (b) 0.50 l, (c) 2.17 × 10^5 l",
"opt_C": "(a) 0.50 l, (b) 1.00 l, (c) 1.09 × 10^6 l",... |
"Problem Statement:\nAt pH values of 4 to 9, natural amino acids exist as polar or zwitter ions: H_2N^+CHZCO^-_2. At a pH of 12, what would be the predominant ionic type? What would it be at a pH of 2? Can the uncharged molecular form, H_2NCHZCO_2 H ever predominate at any pH?" | {
"stem_493": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "At pH = 12, H^+_3HCHZCO_2H predominates. At pH = 2, H_2NCHZCO_2H predominates. H_2NCHZCO_2^- can sometimes predominate.",
"opt_B": "At pH = 12, H_2NCHZCO_2H ... |
"Problem Statement:\nUse the normalized Numerov-method harmonic-oscillator wave functions found by going from -5 to 5 in steps of 0.1 to estimate the probability of being in the classically forbidden region for the $v=0$ state." | {
"stem_494": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.34",
"opt_B": "0.58",
"opt_C": "0.03",
"opt_D": "0.20",
"opt_E": "0.25",
"opt_F": "0.05",
"opt_G": "0.01",
"opt_H": "0.... |
"Problem Statement:\nThe T2 of an NMR line is 15 ms. Ignoring other sources of linebroadening, calculate its linewidth." | {
"stem_495": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "30.1 Hz",
"opt_B": "0.0471 Hz",
"opt_C": "42.4 Hz",
"opt_D": "100.1 Hz",
"opt_E": "84.8 Hz",
"opt_F": "52.8 Hz",
"opt_G": "21.2... |
"Problem Statement:\nThe executioner in charge of the lethal gas chamber at the state penitentiary adds excess dilute H_2 SO_4 to 196 g (about (1/2) lb) ofNaCN. What volume of HCN gas is formed at STP?" | {
"stem_496": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11.2 liters",
"opt_B": "67.2 liters",
"opt_C": "168 liters",
"opt_D": "100.8 liters",
"opt_E": "22.4 liters",
"opt_F": "89.6 liters",... |
"Problem Statement:\nHow many joules are equivalent to one lit-atmof work?" | {
"stem_497": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "106.4 joule",
"opt_B": "98.6 joule",
"opt_C": "99.5 joule",
"opt_D": "97.8 joule",
"opt_E": "101.3 joule",
"opt_F": "102.0 joule",
... |
"Problem Statement:\nFind the pH of a 0.2 M solution of formic acid. K_a = 1.76 × 10^-4." | {
"stem_498": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.01",
"opt_B": "2.23",
"opt_C": "2.77",
"opt_D": "4.56",
"opt_E": "1.76",
"opt_F": "1.92",
"opt_G": "5.17",
"opt_H": "3.... |
"Problem Statement:\nThe diffusion coefficient for serum globulin at 20° in a dilute aqueous salt solution is 4.0 × 10^-11 m^2 s^-1. If the molecules are assumed to be spherical, calculate their molecular weight. Given \\etaH_2O = 0.001005 Pascal sec at 20° andѵ= 0.75 (cm^3/g) for the protein." | {
"stem_499": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.01 × 10^5 g/mole",
"opt_B": "4.0 × 10^-11 m^2/s",
"opt_C": "3.14 × 10^4 g/mole",
"opt_D": "5.15 × 10^5 g/mole",
"opt_E": "1.87 × 10^8 g/m... |
"Problem Statement:\nA short-circuit test on a 15-kva, 2400/240-volt, 60- cycle transformer yields the following result: 6.25 amperes, 131 volts, and 214 watts. Determine the regulation of the transformer for a load of 0.8 lagging power factor by means of the approximate equivalent circuit." | {
"stem_500": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.8 per cent",
"opt_B": "6.0 per cent",
"opt_C": "3.8 per cent",
"opt_D": "4.26 per cent",
"opt_E": "7.3 per cent",
"opt_F": "3.5 per... |
"Problem Statement:\nCalculate the magnitude of the spin magnetic moment of an electron." | {
"stem_501": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.23 $10^{-23} \\mathrm{~J} / \\mathrm{T}$",
"opt_B": "3.26 $10^{-23} \\mathrm{~J} / \\mathrm{T}$",
"opt_C": "2.20 $10^{-23} \\mathrm{~J} / \\mathrm{T}... |
"Problem Statement:\nWhich is correct about the calcium atom?" | {
"stem_502": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "It contains 20 protons and neutrons",
"opt_B": "All atoms of calcium have 20 protons and 40 neutrons",
"opt_C": "It contains 20 protons, neutrons, and ... |
"Problem Statement:\nA 115-volt shunt motor has an armature whose resistance is 0.22 ohm. Assuming a voltage across the brush contacts of 2 volts, what armature current will flow (a) when the counteremfis 108 volts ? (b) if the motor load is increased so that the counteremfdrops to 106 volts ?" | {
"stem_503": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25.9 amp and 34.1 amp",
"opt_B": "21.7 amp and 30.8 amp",
"opt_C": "20.6 amp and 29.7 amp",
"opt_D": "19.5 amp and 28.6 amp",
"opt_E": "23.... |
"Problem Statement:\nConsider a very elementary flow problem. Let the flow be steady andinviscid. Calculate the velocity of the flow in terms of the pressure p given u = u(x), v = w = 0." | {
"stem_504": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "u = √[(2gz) / ρ]",
"opt_B": "u = √[(2p) / (ρgz)]",
"opt_C": "u = √[(2gz) / (ρ + p)]",
"opt_D": "u = √[(p + ρgz) / (2ρ)]",
"opt_E": "u = √[(... |
"Problem Statement:\nIn acid solution the bromate ion, BrO3- can react with other substances, resulting in Br2. Balance the half-reaction for bromate ions forming bromine. The balanced half-reaction has" | {
"stem_505": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6 electrons on the right",
"opt_B": "3 electrons on the right",
"opt_C": "10 electrons on the right",
"opt_D": "10 electrons on the left",
... |
"Problem Statement:\nJ.G. Dojahn, et al. (J. Phys. Chem. 100, 9649 (1996)) characterized the potential energy curves of the ground and electronic states of homonuclear diatomic halogen anions. The ground state of $\\mathrm{F}_2^{-}$is ${ }^2 \\sum_{\\mathrm{u}}^{+}$with a fundamental vibrational wavenumber of $450.0 \\... | {
"stem_506": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "235.1 $\\mathrm{J} \\mathrm{~mol}^{-1} \\mathrm{~K}^{-1}$",
"opt_B": "199.4 $\\mathrm{~J} \\mathrm{~mol}^{-1} \\mathrm{~K}^{-1}$",
"opt_C": "183.2 $\\m... |
"Problem Statement:\nA certain gas occupies a volume of 100 ml at a temperature of 20°C. What will its volume be at 10°C, if the pressure remains constant?" | {
"stem_507": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "93.3 ml",
"opt_B": "115 ml",
"opt_C": "90 ml",
"opt_D": "110 ml",
"opt_E": "80 ml",
"opt_F": "102 ml",
"opt_G": "88 ml",
... |
"Problem Statement:\nConsider the function, g(x) = (1 + x^2)^-1 Determine a constant k such that f(x) = k(1 + x^2)^-1 is a proper probability density for - \\infty < x < \\infty. Find F(x) = Pr(X \\leq x) if X is distributed with density function f(x)." | {
"stem_508": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "π",
"opt_B": "3/π",
"opt_C": "1/2π",
"opt_D": "1/π^2",
"opt_E": "π^2",
"opt_F": "π/2",
"opt_G": "2/π",
"opt_H": "4/π",
... |
"Problem Statement:\nA radioactive isotope, which is used in diagnostic imaging, has a half-life of 6.0 hours. If a quantity of this isotope has an activity of 150 mCi when it is delivered to a hospital, how much activity will remain 24 hours after delivery? (mCi = microcuries)" | {
"stem_509": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "150 mCi",
"opt_B": "9.4 mCi",
"opt_C": "4.7 mCi",
"opt_D": "12.5 mCi",
"opt_E": "25 mCi",
"opt_F": "50 mCi",
"opt_G": "19 mCi",... |
"Problem Statement:\nWhat is the maximum pressure exerted on an aircraft flying at200 mph at sea level? (\\rho = 0.00238 slug/ft^3; p_0 = 14.7 psi.)" | {
"stem_510": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "19.5 psia",
"opt_B": "16.42psia",
"opt_C": "14.7psia",
"opt_D": "16.7 psia",
"opt_E": "15.42psia",
"opt_F": "12.7 psia",
"opt_G... |
"Problem Statement:\nAir at 150 1bf / in^2, 150°F and a velocity of 300 ft/sec is expandedin a gas turbine and leaves at 50 1bf/in^2, 40°F and 200 ft/sec. Assuming no heat losses and air to be an ideal gaswith constant specific heats, calculate the reversible workper pound of air done, and the actual work done by the t... | {
"stem_511": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Reversible work: 42.2 Btu/1bm, Actual work: 27.4 Btu/1bm",
"opt_B": "Reversible work: 15.0 Btu/lbm, Actual work: 20.0 Btu/lbm",
"opt_C": "Reversible wo... |
"Problem Statement:\nThe total normalized power of a periodic signal is given by S = ^n=+\\infty\\sum_n=-\\inftyV_nV_n\\textasteriskcentered where V_n= [1 / (\\vertn\\vert)]e-jarctan(n/2)forn = \\pm 1, \\pm 2,... Calculate the ratio: [{normalized power(second harmonic)} / {normalized power (first harmonic)}]." | {
"stem_512": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.125",
"opt_B": "1.5",
"opt_C": "0.75",
"opt_D": "0.5",
"opt_E": "2",
"opt_F": "4",
"opt_G": "0.6",
"opt_H": "1",
... |
"Problem Statement:\nThe measured voltage of the concentration cell Ag\\vertAgNO_3 (0.0100m) \\vert\\vertAgNO_3 (y)\\vertAg was 0.0650 V at 25°C. Calculate themolalityy of the right-hand half-cell assuming \\gamma_\\pm = 1." | {
"stem_513": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.1105m",
"opt_B": "0.1255m",
"opt_C": "0.1405m",
"opt_D": "0.2005m",
"opt_E": "0.0505m",
"opt_F": "0.1505m",
"opt_G": "0.1205m... |
"Problem Statement:\nN^13 decays by \\beta^+ emission. The maximum kinetic energy of the \\beta^+ is 1.19MeV. What is thenuclidicmass of N^13?" | {
"stem_515": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "13.00573amu",
"opt_B": "13.00128amu",
"opt_C": "13.00987 amu",
"opt_D": "13.00335amu",
"opt_E": "13.00739 amu",
"opt_F": "12.99859 am... |
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