state unknown | questions unknown |
|---|---|
"Problem Statement:\nHund's rule requires that" | {
"stem_0": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "all electrons must have opposite spins in an orbital",
"opt_B": "no two electrons can have the same four quantum numbers",
"opt_C": "no two electrons can... |
"Problem Statement:\nLunar soil contains,ilmenite, a mineral with the composition FeO\\bulletTiO_2. It has been suggested that moon explorers might obtain water and oxygen from lunar soil by reducing it with hydrogen (brought from earth) according to the following reactions. Beginning with soil heated to 1300°C in a so... | {
"stem_1": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "600 g H_2O and 100 g O_2",
"opt_B": "350 g H_2O and 150 g O_2",
"opt_C": "450 g H_2O and 400 g O_2",
"opt_D": "150 g H_2O and 250 g O_2",
"op... |
"Problem Statement:\nCalculate the composition (molality) of an alcohol - water mixture which will not freeze above a temperature of - 10°C (+14°F). (MW of alcohol = 46; Freezing point constant for water (K_f) = (1.86°.)" | {
"stem_2": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.4molal",
"opt_B": "2.8 molal",
"opt_C": "8.0 molal",
"opt_D": "4.5molal",
"opt_E": "6.3molal",
"opt_F": "4.0 molal",
"opt_G": "... |
"Problem Statement:\nFind the magnitude of E for a plane wave in free space, if the magnitude of H for this wave is 5 amp/meter." | {
"stem_3": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1200 volts/meter",
"opt_B": "5 ohms",
"opt_C": "1883 volts/meter",
"opt_D": "940.5 volts/meter",
"opt_E": "5 volts/meter",
"opt_F": "18... |
"Problem Statement:\nCalculate the mass of water vapour present in a room of volume $400 \\mathrm{m}^3$ that contains air at $27^{\\circ} \\mathrm{C}$ on a day when the relative humidity is 60 per cent." | {
"stem_4": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.2$\\text{kg}$ ",
"opt_B": "8.4$\\text{kg}$",
"opt_C": "9.8 kg",
"opt_D": "7.0$\\text{kg}$",
"opt_E": "11.6 kg",
"opt_F": "3.9 kg",
... |
"Problem Statement:\nThe isomer of C_2H_5OH(l) is CH_3 - O - CH_3(g) . Given that, at 25°C, the heat of formation of C_2H_5OH(l) = - 66 kcal/mole, the heat of combustion of the isomeric CH_3 - O - CH_3(g) to CO_2(g) and H_2O(l) = - 348 kcal/mole, the heat of formation of H_2O(l) = - 68 kcal/mole and the heat of combust... | {
"stem_5": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\DeltaH = 22 kcal, \\DeltaE = - 10.6 kcal",
"opt_B": "\\DeltaH = 204 kcal, \\DeltaE = - 204 kcal",
"opt_C": "\\DeltaH = 204 kcal, \\DeltaE = 204 kcal",
... |
"Problem Statement:\nCalculate the percentage difference between $\\ln (1+x)$ and $x$ for $x=0.0050$" | {
"stem_6": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.490 %",
"opt_B": "3.750 %",
"opt_C": "0.005 %",
"opt_D": "0.050 %",
"opt_E": "4.990 %",
"opt_F": "1.250 %",
"opt_G": "5.000 %",... |
"Problem Statement:\nWithout Catalyst(k), sec^-1 With Catalyst(k_c), sec^-1 T_1 = 473°K 1.76 × 10^-2 6.10 T_2 = 573°K 0.804 88.1 The reaction rate of a first-order reaction at a con-stant pressure of 1atmis shown in the table above. Cal-culate the value of H and S° with and without catalyst, assuming that they do not c... | {
"stem_7": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "H = 19.6 kcal/mole, 13.4 kcal/mole; S = 34.9eu, 33.4eu",
"opt_B": "H = 23.5 kcal/mole, 16.2 kcal/mole; S = 37.1eu, 36.5eu",
"opt_C": "H = 18.2 kcal/mole,... |
"Problem Statement:\nWhen J.F. Piccard made a stratosphere flight in a balloon, the balloon seemed to be only half filled as it left the ground near Detroit. The gas temperature was about 27°C, the pressure 700 mm, and the volume of gas in the balloon 80000 cubic feet. What was the gas volume at high alti-tude where th... | {
"stem_8": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "150,000 cu. ft.",
"opt_B": "130,000 cu. ft.",
"opt_C": "110,000 cu. ft.",
"opt_D": "80,000 cu. ft.",
"opt_E": "60,000 cu. ft.",
"opt_F"... |
"Problem Statement:\nCalculate the change in entropy for liquid water @ - 5°C and 1atmto ice at - 5°C and 1 atm. Use the following data: C_p for H_2O(s) = 9 cal deg^-1 mole^-1 C_p forH_2O(1) = 18 cal deg^-1 mole^-1 \\DeltaH_fusion@ 0°C and 1atmis1,440 cal/mole" | {
"stem_9": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-2.22eu",
"opt_B": "- 5.1eu",
"opt_C": "1.440eu",
"opt_D": "-1.440eu",
"opt_E": "2.22eu",
"opt_F": "-0.166eu",
"opt_G": "-5.27eu"... |
"Problem Statement:\nA mixture of ideal gases consisting of 0.4 mole fraction of N_2 and 0.6 mole fraction of argon is flowing at a rate of 2500 lbm/hr through a heat exchanger, where its temperature is increased from 80°F to 450°F. Assuming that the heating process takes place at a constant pressure of 14.7 psia, dete... | {
"stem_10": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "151466.45 Btu/hr",
"opt_B": "175000 Btu/hr",
"opt_C": "135000 Btu/hr",
"opt_D": "200000 Btu/hr",
"opt_E": "210000 Btu/hr",
"opt_F": "1... |
"Problem Statement:\nAssuming the passive sign convention, find the current through a 0.1 H inductor at t = 2s if (a) V_L = 0.5 t V for 0 \\leq t \\leq 3s,\\nu_L= 0 for t < 0 and t > 3, andi_L= 0 at t = - 3; (b) V_L = 0.5 (t + 2) V for -2 \\leq t \\leq s,\\nu_L= 0 for t < -2 and t > 1, andi_L= 0 at t = - 3; (c)\\nu_L= ... | {
"stem_11": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7 A, 21 A, 22.1 A",
"opt_B": "8 A, 24.5 A, 21.6 A",
"opt_C": "12 A, 20 A, 25.6 A",
"opt_D": "5 A, 18.5 A, 19.6 A",
"opt_E": "9 A, 23 A, 26.6... |
"Problem Statement:\nFor the zero-memory information source described by the table, find the average length (L_avg) of binary code needed to encode the symbols. Source symbol Symbol probability P_i s_1 (1 / 4) s_2 (1 / 4) s_3 (1 / 4) s_4 (1 / 4)" | {
"stem_12": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2 bits/symbol",
"opt_B": "2.2 bits/symbol",
"opt_C": "3.2 bits/symbol",
"opt_D": "1.5 bits/symbol",
"opt_E": "3 bits/symbol",
"opt_F":... |
"Problem Statement:\nWhat is the pH of a 0.001 M aqueous solution of the strong electrolyte KOH? The dissociation constant for water is K_w= 10^-14 mole^2/liter^2." | {
"stem_13": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "13",
"opt_B": "14",
"opt_C": "10",
"opt_D": "9",
"opt_E": "12",
"opt_F": "6",
"opt_G": "7",
"opt_H": "11",
"opt_I": ... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate $\\Delta S$ (for the system) when the state of $3.00 \\mathrm{~mol}$ of perfect gas atoms, for which $C_{p, \\mathrm{~m}}=\\frac{5}{2} R$, is changed from $25^{\\circ} \\mathrm{C}$ and 1.00 atm to $... | {
"stem_14": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25.7$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_B": "15.3$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_C": "10.5$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_D": "33.4$... |
"Problem Statement:\nThe following data show how the standard molar constant-pressure heat capacity of sulfur dioxide varies with temperature. By how much does the standard molar enthalpy of $\\mathrm{SO}_2(\\mathrm{~g})$ increase when the temperature is raised from $298.15 \\mathrm{~K}$ to $1500 \\mathrm{~K}$ ?" | {
"stem_15": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "49.2 $\\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
"opt_B": "85.7 $\\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
"opt_C": "67.8 $\\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
... |
"Problem Statement:\nA vertical cylinder 300 mm in diameter is fitted (at the top) witha tight but frictionless piston and is completely filled with waterat 70°C. The outside of the piston is exposed to an atmosphericpressure of 100kPa. Calculate the minimum forceapplied to the piston which will cause the water to boil... | {
"stem_16": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.12kN",
"opt_B": "7.2kN",
"opt_C": "5.02kN",
"opt_D": "4.00kN",
"opt_E": "6.75kN",
"opt_F": "1.95kN",
"opt_G": "2.86kN",
... |
"Problem Statement:\nIt is required to reduce the net radiant loss of the horizontal, cylindricalelectric heater 2 in. in diameter and 5 ft. long to zero, by keeping it in an oven whose walls are maintained at thesurface temperature of the heater. The air in the oven is at80°F and the heater dissipates energy at the ra... | {
"stem_17": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "205°F",
"opt_B": "220°F",
"opt_C": "230°F",
"opt_D": "190°F",
"opt_E": "200°F",
"opt_F": "235°F",
"opt_G": "215°F",
"opt_H... |
"Problem Statement:\nA plane 1-GHz traveling wave in air with peak electric field intensity of 1 v/m is incident normally on a large copper sheet. Find the average power absorbed by the sheet per square meter of area." | {
"stem_18": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "116n W/m^2",
"opt_B": "130n W/m^2",
"opt_C": "95n W/m^2",
"opt_D": "150n W/m^2",
"opt_E": "75n W/m^2",
"opt_F": "60n W/m^2",
"op... |
"Problem Statement:\nAn antenna radiates a power of 8kwand draws a current of 20 A. Calculate its radiation resistance." | {
"stem_19": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25 ohms",
"opt_B": "10 ohms",
"opt_C": "30 ohms",
"opt_D": "50 ohms",
"opt_E": "5 ohms",
"opt_F": "35 ohms",
"opt_G": "15 ohms",... |
"Problem Statement:\nThe value of the coefficient K_G in a wetted wall column forthe absorption of SO_2 in air by water at 70°F is 0.068lbmol/hr \\bulletsqft\\bullet atm.The resistance of gas and liquid filmsare equal in the absorption of SO_2. The diffusivities of SO_2 and NH_3 at 49°F are 0.115 and 0.168 cm^2/sec, re... | {
"stem_20": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.085lbmol/hr sqft atm",
"opt_B": "0.05lbmol/hr sqft atm",
"opt_C": "0.188lbmol/hr sqft atm",
"opt_D": "0.174lbmol/hr sqft atm",
"opt_E": "0... |
"Problem Statement:\nA 7-hp motor takes 6.3 kilowatts at full load. What is its efficiency ?" | {
"stem_21": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "75%",
"opt_B": "86%",
"opt_C": "95%",
"opt_D": "60%",
"opt_E": "80%",
"opt_F": "83%",
"opt_G": "65%",
"opt_H": "70%",
... |
"Problem Statement:\nThe density of SiHBr_3 is 2.690 g\\bulletcm^-3 at 25°C, its refrac-tive index is 1.578, and its dielectric constant is 3.570. Estimate its dipole moment indebyes." | {
"stem_22": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.278 D",
"opt_B": "0.972 D",
"opt_C": "0.752 D",
"opt_D": "1.092 D",
"opt_E": "0.572 D",
"opt_F": "0.6792 D",
"opt_G": "0.982 D... |
"Problem Statement:\nHeats of formation are usually estimated by using bond dissociationenergies. Determine the heat of formation for propane@ STP using the following bond energy data. DATA @ 298°K and 1atm Bond Bond energy (kcal/mole) C-C 80 C-H 99 H-H 103" | {
"stem_23": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 35 kcal/mole",
"opt_B": "- 18.3 kcal/mole",
"opt_C": "- 22.7 kcal/mole",
"opt_D": "- 15 kcal/mole",
"opt_E": "- 20 kcal/mole",
"opt_... |
"Problem Statement:\nFind the steady-state solution of the equation y [n] + [1 / \\surd(3)]y [n - 1] =cos(\\pi/6) n." | {
"stem_24": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "y_ss[n] = \\surd(3/7)cos[(\\pi/6)n tan^-1 [{1} / {2\\surd(3)}]",
"opt_B": "y_ss[n] = \\surd(2/7)sin[(\\pi/6)n + tan^-1 [{1} / {3\\surd(3)}]",
"opt_C": "... |
"Problem Statement:\nCalculate the relative occupancies of the α and β spin energy levels for a radical species with g = 2.05, at L- and W-band frequencies (take TS = 300 K)." | {
"stem_25": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Nα/Nβ = 0.9850 at L-band; Nα/Nβ = 0.9809 at W-band",
"opt_B": "Nα/Nβ = 0.9950 at L-band; Nα/Nβ = 0.9809 at W-band",
"opt_C": "Nα/Nβ = 0.9910 at L-band; ... |
"Problem Statement:\nDetermine the Fourier transform of the function f(t) = e^-2t sin(6t - 18) u(t - 3) where u(t) is the unit step function. Note: F[e^-\\alphat(sin \\omega_0t)u(t)] = [\\omega_0 / {(\\alpha + j\\omega)^2 + \\omega_0^2}]" | {
"stem_26": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6e^-6 [e^-3jω / {(jω - 2)^2 + 36}]",
"opt_B": "6e^-2 [e^-3jω / {(jω + 2)^2 + 36}]",
"opt_C": "3e^-6 [e^-3jω / {(jω + 2)^2 + 36}]",
"opt_D": "6e^-1... |
"Problem Statement:\nFind the cutoff frequency of the first higher-order mode for anair-dielectric 50-ohm coaxial line whose inner conductor hasa radius of 2 mm." | {
"stem_27": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10 GHz",
"opt_B": "14.5 GHz",
"opt_C": "22 GHz",
"opt_D": "11 GHz",
"opt_E": "25 GHz",
"opt_F": "18 GHz",
"opt_G": "20 GHz",
... |
"Problem Statement:\nThe field winding of a shunt motor has a resistance of 110 ohms, and the voltage applied to it is 220 volts. What is the amount of power expended in the field excitation ?" | {
"stem_28": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "660 watts",
"opt_B": "880 watts",
"opt_C": "200 watts",
"opt_D": "120 watts",
"opt_E": "110 watts",
"opt_F": "330 watts",
"opt_G... |
"Problem Statement:\nCompute the heat absorbed by a body which is exposed to anelectric heater releasing energy at the rate of 1850 W/m. The absorbing body accepts 95% of the radiation falling above2.7\\mum and 30% of radiation below 2.7\\mum. The diameterof the heating element is 25 mm while the two bodiesare 10 cm ap... | {
"stem_29": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2944 W/m^2",
"opt_B": "1850 W/m^2",
"opt_C": "1500 W/m^2",
"opt_D": "2168 W/m^2",
"opt_E": "1725 W/m^2",
"opt_F": "2040 W/m^2",
... |
"Problem Statement:\nCatalase, the enzyme that assists the breakdown of hydrogen peroxide into oxygen and water, has a turnover number of 2 × 10^8. In one hour, what weight of hydrogen peroxide could be decomposed by one molecule of catalase?" | {
"stem_30": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9.07 × 10^-14 grams",
"opt_B": "2 × 10^8 grams",
"opt_C": "8.5 × 10^-11 grams",
"opt_D": "1.99 × 10^-14 grams",
"opt_E": "5 × 10^-12 grams",... |
"Problem Statement:\nAssuming the Bohr radius is 0.5292 × 10^-8 cm, what frequency of a light wave has the same wavelength as the Bohr radius?" | {
"stem_31": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.665 × 10^17 sec^-1",
"opt_B": "7.665 × 10^17 sec^-1",
"opt_C": "4.565 × 10^17 sec^-1",
"opt_D": "3.665 × 10^18 sec^-1",
"opt_E": "6.665 × ... |
"Problem Statement:\nEvaluatedivuat the point (- 1, 1, 2) foru= x^2i+e^xyj+ xyzk(1)" | {
"stem_32": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 3 - e^1",
"opt_B": "- 2 - e^-1",
"opt_C": "2 + e^-1",
"opt_D": "- 3 - e^-1",
"opt_E": "-3 + e^1",
"opt_F": "-4 + e^-1",
"opt_G... |
"Problem Statement:\nWhich lamp has the best Colour Rendering Index (CRI)?" | {
"stem_33": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Xenon",
"opt_B": "High pressure sodium vapour",
"opt_C": "Halogen",
"opt_D": "Low pressure sodium vapour",
"opt_E": "Compact fluorescent",
... |
"Problem Statement:\nCalculate the temperature change of 1 mole of a diatomic gas contained in a piston, q = 65J and w = 210J." | {
"stem_34": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 275J",
"opt_B": "- 13.5K",
"opt_C": "13.5K",
"opt_D": "7.0K",
"opt_E": "65K",
"opt_F": "145J",
"opt_G": "210K",
"opt_H":... |
"Problem Statement:\nMethane is stored at low temperature inside a tank having a volume of 1.5 m^3. Initially the tank is at a pressure of 8atm and contains 30% liquid and 70% vapor on a volume basis. How much heat must be transferred to the tank from the surroundings, so that the pressure inside the tank rises to 100a... | {
"stem_35": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "89,368.79 kJ",
"opt_B": "95,500 kJ",
"opt_C": "120,000 kJ",
"opt_D": "100,000 kJ",
"opt_E": "80,000 kJ",
"opt_F": "75,000 kJ",
"... |
"Problem Statement:\nA chemist possessesKCl, PH_3, GeCl_4, H_2S, andCsF. Which of these compounds do not contain a covalent bond?" | {
"stem_36": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "CsF, PH_3",
"opt_B": "KCl, H_2S",
"opt_C": "H_2S, CsF",
"opt_D": "KCl, GeCl_4",
"opt_E": "GeCl_4, H_2S",
"opt_F": "GeCl_4, KCl",
... |
"Problem Statement:\nA cylinder piston arrangement compresses air at 70°F and 14.7 psia to 294 psia. The compression follows a reversible process defined by the relation PV^1.3 = C. (a) Calculate the work performed and the heat transferred in this case, (b) Also calculate the specific heat. In this case the specific he... | {
"stem_37": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 88,400 ft-lbm, - 26.7 Btu, - 0.0530 Btu/lb degree",
"opt_B": "- 100,000 ft-lbm, - 32 Btu, - 0.0570 Btu/lb degree",
"opt_C": "- 96,500 ft-lbm, - 30.5 B... |
"Problem Statement:\nA rectangular waveguide, 5 cm by 2.5 cm, has an air dielectric. At an excitation frequency of 4000 megacycles, determinethe propagation constants of the 10, 01, 20, 11, 02, and 55 modes.Assume perfect conductors." | {
"stem_38": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "j78.5 for the 10 mode, 120.6 for the 01 and 20 modes, 155 for the 11 mode, 250 for the 02 mode, and 720 for the 55 mode",
"opt_B": "j55.4 for the 10 mode, 93.... |
"Problem Statement:\n0.001 mol ofNaOHis added to 100 ml. of a solution that is 0.5 M HC_2H_3O_2 and 0.5 M NaC_2H_3O_2. Determine the pH of this Solution; theK_dissof acetic acid is 1.8 × 10^-5." | {
"stem_39": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.20",
"opt_B": "4.68",
"opt_C": "5.10",
"opt_D": "4.74",
"opt_E": "4.76",
"opt_F": "5.00",
"opt_G": "4.70",
"opt_H": "4.9... |
"Problem Statement:\nPure methane initially at 3000 psi, 65°F enters a pipeline of 12-in inside diameter, at a rate of 70 lbm/sec. Using the generalized compressibility factor chart, calculate the inlet density and initial velocity of methane." | {
"stem_40": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11.0 lbm/ft^3, 8.2 ft/sec",
"opt_B": "10.37 lbm/ft^3, 8.6575 ft/sec",
"opt_C": "10.0 lbm/ft^3, 10.0 ft/sec",
"opt_D": "14.3 lbm/ft^3, 6.7 ft/sec",... |
"Problem Statement:\nThe effect of inert gas on equilibrium composition can be determinedby the computation of the mixture composition. Calculate the composition of the mixture at 3,000°K and 1atmpressure, for a mixture initially composed of 0.5 mol of carbonmonoxide and 2.38 mol of air." | {
"stem_41": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.24 mol of CO at the equilibrium state of 3,000K and 1atm pressure",
"opt_B": "0.5 mol of CO at the equilibrium state of 3,000K and 1atm pressure",
"op... |
"Problem Statement:\nCalculate the de Broglie wavelength for (a) an electron with a kinetic energy of $100 \\mathrm{eV}$" | {
"stem_42": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.175nm",
"opt_B": "0.080nm",
"opt_C": "0.098nm",
"opt_D": "0.123nm ",
"opt_E": "0.135nm",
"opt_F": "0.250nm",
"opt_G": "0.150nm... |
"Problem Statement:\nA signal source operating at 50MHz has an output impedance of 20 ohms. It is to supply power through a coaxial line to a load impedance of 150 + j40 ohms. Is it possible to design a quarter-wave transformer to match the source to the load?" | {
"stem_43": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "A quarter-wave transformer with a characteristic impedance of 100 ohms can match the source to the load",
"opt_B": "The matching transformer would need a char... |
"Problem Statement:\nA solution of a weak base is titrated with a solution of a standard strong acid. The progress of the titration is followed with a pH meter. Which of the following observations would occur?" | {
"stem_44": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Initially, the pH quickly decrease, then there is a gradual decrease to the equivalence point where the pOH equals the pKb of the base.",
"opt_B": "Initially,... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the total change in entropy, when a sample of nitrogen gas of mass $14 \\mathrm{~g}$ at $298 \\mathrm{~K}$ and $1.00 \\mathrm{bar}$ doubles its volume in an adiabatic reversible expansion." | {
"stem_45": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20 J/K",
"opt_B": "10 J/K",
"opt_C": "5 J/K",
"opt_D": "8 J/K",
"opt_E": "-2 J/K",
"opt_F": "0",
"opt_G": "-10 J/K",
"opt_... |
"Problem Statement:\nA chemist reacts ferric sulfate with barium chloride and obtains barium sulfate and ferric chloride. He writes the following balanced equation to express this reaction: Fe_2 (SO_4)_3 + 3BaCl_2 \\rightarrow 3BaSO_4\\downarrow + 2FeCl_3 (A)How much BaC1_2 should be used to react with 10 grams of Fe_2... | {
"stem_46": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20.62 grams, 67.11 grams, 50.56 grams",
"opt_B": "25.62 grams, 77.11 grams, 60.56 grams",
"opt_C": "22.47 grams, 80.34 grams, 56.23 grams",
"opt_D... |
"Problem Statement:\nConsider the formation of an ionic molecule, AB, by the donation of an electron from atom A to atom B. If the ionization potential of A is 5.5eVand the electron affinity of B is 1.5eV, and the ion B^- has a radius of 0.20 nm, what is the maximum size of A^+ that would lend itself to the formation o... | {
"stem_47": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.10 nm",
"opt_B": "0.25 nm",
"opt_C": "0.36 nm",
"opt_D": "0.15 nm",
"opt_E": "0.40 nm",
"opt_F": "0.22 nm",
"opt_G": "0.30 nm"... |
"Problem Statement:\nCalculate the magnetic moment (μI) of a 13C nucleus." | {
"stem_48": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9.1445 x 10^-27 J T-1",
"opt_B": "9.1445 x 10^-28 J T-1",
"opt_C": "2.1445 x 10^-27 J T-1",
"opt_D": "5.1445 x 10^-26 J T-1",
"opt_E": "4.14... |
"Problem Statement:\nA 3mm thick aluminium alloy plate at 200°C is suddenly quenchedinto water at 10°C. Determine the time required forthe plate to reach the temperature of 30°C. The following datamay be used. Density of aluminium \\rho = 3000kg/m^3 Specific heat of aluminium C_p = 0.2kcal/kg°C Plate dimensions = 20 cm... | {
"stem_49": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.0 seconds",
"opt_B": "2.8 seconds",
"opt_C": "6.3 seconds",
"opt_D": "5.5 seconds",
"opt_E": "3.2 seconds",
"opt_F": "1.45 seconds",... |
"Problem Statement:\nCompute the heat gained by the room at 80°F from a vertical plate3 ft. wide and 4 ft. high maintained at 115°F." | {
"stem_50": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "550.3 Btu/hr",
"opt_B": "684.2 Btu/hr",
"opt_C": "596.4 Btu/hr",
"opt_D": "712.6 Btu/hr",
"opt_E": "739.1 Btu/hr",
"opt_F": "678.9 Btu... |
"Problem Statement:\nA flat key is used to prevent slipping of a cast-iron gear mounted on a shaft, 2 in. in diameter. Determine the appropriate dimensions of the key if the gear delivers 125 hp at 250 rpm. Assume design stresses for shear and bearing as 19,000 psi and 37,000 psi." | {
"stem_51": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "key thickness = 3/8 in., key width = 1/2 in., key length = 3.32 in.",
"opt_B": "key thickness = 1/4 in., key width = 3/8 in., key length = 6.0 in.",
"op... |
"Problem Statement:\nThe mass of an electron is 9.109 × 10^-28 g . What is the atomic weight of electrons?" | {
"stem_52": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.67 x 10^-24 g/mole",
"opt_B": "3.01 × 10^-23 g/mole",
"opt_C": "5.48 × 10^-4 g/mole",
"opt_D": "4.82 × 10^-26 g/mole",
"opt_E": "6.02 × 10... |
"Problem Statement:\nWhat is the NMR frequency of 31P in a 20.0 T magnetic field?" | {
"stem_53": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "310.2 MHz",
"opt_B": "500.5 MHz",
"opt_C": "275.0 MHz",
"opt_D": "400.0 MHz",
"opt_E": "120.2 MHz",
"opt_F": "239.2 MHz",
"opt_G... |
"Problem Statement:\nGiven that the joint density function of the random variables X, Y and Z is f(x, y, z) = e-(x+y+z)when 0 < x < \\infty, 0 < y < \\infty, 0 < z < \\infty, find the cumulative distribution function F(x, y, z) of X,Y, and Z." | {
"stem_54": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1 - e^-(x+y+z) for x, y, z > 0",
"opt_B": "e^-(x*y*z) for x, y, z > 0",
"opt_C": "(1 - e^-x) / (1 - e^-y) / (1 - e^-z) for x, y, z > 0",
"opt_D": ... |
"Problem Statement:\nA man is informed that, when a pair of dice were rolled, the resulting sum was a \"seven\". How much information is there in this message?" | {
"stem_55": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4 bits",
"opt_B": "1.5 bits",
"opt_C": "2.585 bits",
"opt_D": "1 bit",
"opt_E": "3.5 bits",
"opt_F": "1.75 bits",
"opt_G": "3 bi... |
"Problem Statement:\n(a) Calculate the synchronous speed of an eight-pole induction motor when supplied with power from a 60-cycle source. (b) Calculate the synchronous speed of 60-cycle induction motors having four poles. (c) The rotor speed of a six-pole 50-cycle induction motor is 960 rpm. Calculate the percent slip... | {
"stem_56": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "720, 1800, 2, 475",
"opt_B": "900, 1600, 3.5, 485",
"opt_C": "920, 1720, 4.7, 482",
"opt_D": "950, 1850, 3, 480",
"opt_E": "880, 1840, 5.5, ... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298 K unless otherwise stated. Find an expression for the fugacity coefficient of a gas that obeys the equation of state $p V_{\\mathrm{m}}=R T\\left(1+B / V_{\\mathrm{m}}+C / V_{\\mathrm{m}}^2\\right)$. Use the resulting expression to estima... | {
"stem_57": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.0236$\\text{atm}$",
"opt_B": "1.0567 atm",
"opt_C": "0.9852 atm",
"opt_D": "0.9974$\\text{atm}$ ",
"opt_E": "0.9321 atm",
"opt_F": "... |
"Problem Statement:\nIf the vapor pressure of ethyl alcohol, C_2H_5OH, is 0.132 atm at 34.9°C, and 0.526 atm at 63.5°C what do you predict it will be at 19.0°C?" | {
"stem_58": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.3 atm",
"opt_B": "0.65 atm",
"opt_C": "0.08 atm",
"opt_D": "0.025 atm",
"opt_E": "0.2 atm",
"opt_F": "0.132 atm",
"opt_G": "0.... |
"Problem Statement:\nConsider the reaction I_2 \\rightarrow 2I at 1000°K and 1 atm. The fundamental vibration frequency ѵof I_2 is 214.4 cm^-1, and the internuclear distance is 0.2667 nm. Calculate the equilibrium constant K_P for the reaction if the ground state of I is a doublet ^2P_3/2,1/2 With a separation of 7603 ... | {
"stem_59": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.468 × 10^-3",
"opt_B": "0.764 × 10^-3",
"opt_C": "1.890 × 10^-3",
"opt_D": "0.987 × 10^-3",
"opt_E": "1.456 × 10^-3",
"opt_F": "1.07... |
"Problem Statement:\nWhat do the differences in properties between lithium acetyl acetone (m.p. very high, insoluble in chloroform) and beryllium acetyl acetone (m.p. 108°,b.p. 270°, soluble in chloroform) suggest about their structures?" | {
"stem_60": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Both are non-ionic compounds",
"opt_B": "Lithium acetylacetonate is non-ionic and beryllium acetylacetonate is ionic",
"opt_C": "Both are ionic compound... |
"Problem Statement:\nAnother application of the relationship given in Problem $1-48$ has to do with the excitedstate energies and lifetimes of atoms and molecules. If we know that the lifetime of an excited state is $10^{-9} \\mathrm{~s}$, then what is the uncertainty in the energy of this state?\n" | {
"stem_61": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2 $10^{-25} \\mathrm{~J}$",
"opt_B": "4 $10^{-25} \\mathrm{~J}$",
"opt_C": "7 $10^{-25} \\mathrm{~J}$",
"opt_D": "6 $10^{-25} \\mathrm{~J}$",
... |
"Problem Statement:\nBalance the following by filling in missing species and proper coefficient: (a) NaOH + _____\\rightarrow NaHSO_4 + HOH; (b)PCI_3 +__ HOH \\rightarrow _____ + 3HCl, (c) CH_4 + ____ \\rightarrowCC1_4 + 4HCl." | {
"stem_62": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "H_2SO_4, P(OH)_3, 2 Cl_2",
"opt_B": "H_2SO_3, P(OH)_3, 3 Cl_2",
"opt_C": "HClO_4, P(OH)_3, 5 Cl_2",
"opt_D": "H_2SO_4, P(OH)_4, 2 Cl_2",
"op... |
"Problem Statement:\nThe escape velocity, the speed at which molecules can escape the earth's gravitational field, is approximately 1.1 × 10^6 cm sec^-1 (about 7 miles sec^-1). At what temperature, approximately, will the root mean square velocity value for H_2 be equal to the escape velocity? (R = 8.3 × 10^7 erg mole^... | {
"stem_63": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.50 × 10^4 K",
"opt_B": "1.20 × 10^4 K",
"opt_C": "9.72 × 10^3 K",
"opt_D": "3.00 × 10^5 K",
"opt_E": "6.50 × 10^3 K",
"opt_F": "1.1 ... |
"Problem Statement:\nA parallel-plate condenser has plates 20 cm. square and 0.5 cm. apart. Find (a) its capacitance, and, when charged to ap.d. of 1000 volts: (b) its charge, (c) the energy stored. (d) the force of attraction between the plates." | {
"stem_64": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "85.8picofarads (pF), 8.58 × 10^-8 coulomb, 4.79 × 10^-5 joule, 8.58 × 10^-3 newton (858 dynes)",
"opt_B": "70.8picofarads (pF), 7.08 × 10^-8 coulomb, 3.54 × 1... |
"Problem Statement:\nHow many moles of Al_2 O_3 can be formed when a mixture of 0.36 moles of aluminum and 0.36 moles of oxygen is ignited? Which substance and how much of it is in excess of that required? 4Al + 3O_2 \\rightarrow 2Al_2 O_3" | {
"stem_65": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.36 moles of Al_2 O_3, 0.09 moles of O_2 in excess",
"opt_B": "0.18 moles of Al_2 O_3, 0.09 moles of O_2 in excess",
"opt_C": "0.18 moles of Al_2 O_3, ... |
"Problem Statement:\nA pseudoplastic-non-newtonian fluid is flowing through a schedule 40 standard steel pipe of 1(1/4) in. dia. at a rate of 15 gal/hr. Determine the pressure drop per foot of pipe. Properties of the fluid: density (\\rho) = 60lbm/ft^3; viscosity (\\mu_ap) = 22500 poise." | {
"stem_66": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "42.3 psi/ft",
"opt_B": "18.5 psi/ft",
"opt_C": "33.8 psi/ft",
"opt_D": "35.2 psi/ft",
"opt_E": "47.6 psi/ft",
"opt_F": "60.1 psi/ft",
... |
"Problem Statement:\n1.18(a) A vessel of volume $22.4 \\mathrm{dm}^3$ contains $2.0 \\mathrm{~mol} \\mathrm{H}_2$ and $1.0 \\mathrm{~mol} \\mathrm{~N}_2$ at $273.15 \\mathrm{~K}$. Calculate their total pressure." | {
"stem_67": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.5 $\\mathrm{atm}$",
"opt_B": "2.5 $\\mathrm{atm}$",
"opt_C": "3.5 $\\mathrm{atm}$",
"opt_D": "6.0 $\\mathrm{atm}$",
"opt_E": "2.0 $\\mathr... |
"Problem Statement:\nAir at 75°F and 14.6psiaflows through a rectangular duct of 1 × 2 ft cross-section. If the flow rate is 4800cfm, determine the pressure drop per 100 ft of flow. For duct K_s = 0.00015 ft." | {
"stem_68": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.65 psf",
"opt_B": "2.15 psf",
"opt_C": "1.75 psf",
"opt_D": "2.35 psf",
"opt_E": "3.00 psf",
"opt_F": "1.95 psf",
"opt_G": "1.... |
"Problem Statement:\nDetermine the number of cubic centimeter in one cubic inch." | {
"stem_69": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "39.37 cc",
"opt_B": "100 cc",
"opt_C": "50 cc",
"opt_D": "2.54 cc",
"opt_E": "5 cc",
"opt_F": "16.4 cc",
"opt_G": "10 cc",
... |
"Problem Statement:\nIf an E. coli cell contains 10^6protein molecules, each of mol. wt. 40,000, calculate the total length of all the polypeptide chains of a single E. coli cell, assuming they are entirely \\alpha-helical." | {
"stem_70": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.0 cm",
"opt_B": "1.5 cm",
"opt_C": "5.0 cm",
"opt_D": "3.0 cm",
"opt_E": "4.5 cm",
"opt_F": "8.5 cm",
"opt_G": "6.0 cm",
... |
"Problem Statement:\nFind the Fourier cosine series over the interval 0 < x < c for the function f(x) = x." | {
"stem_71": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "f(x) \\sim (1 / 2)c + (2c / \\pi^2)\\infty\\sum_k=1 [{cos[(2k)\\pix/ c]} / (2k)^2]",
"opt_B": "f(x) \\sim (1 / 2)c + (4c / \\pi^2)\\infty\\sum_k=0 [{cos[(2k +... |
"Problem Statement:\nWhich of the following ions possess a rare gas electronic configuration? (a) Ca^2+; (b) In^+; (c) Ga^3+; (d) Sc^3+; (e) Se^2-" | {
"stem_72": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "In^+, Sc^3+ and Se^2-",
"opt_B": "Ca^2+, Ga^3+ and In^3+",
"opt_C": "Ca^2+, Sc^3+ and Se^2-",
"opt_D": "In^3+, Ga^3+ and Se^2-",
"opt_E": "C... |
"Problem Statement:\nA plate cam causes a reciprocating roller follower to execute asimple harmonic motion with a maximum displacement of 2 in.The motion comprises of a rise for 140° and a fall for 160° of the cam rotation.The follower's roller is 1 in. in radiusand the pressure angle should not exceed 35°. Evaluate: (... | {
"stem_74": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Perpendicular distance: 1.75 in, Base circle radius: 1.65 in",
"opt_B": "Perpendicular distance: 1.35 in, Base circle radius: 1.24 in",
"opt_C": "Perpen... |
"Problem Statement:\nIn 1976 it was mistakenly believed that the first of the 'superheavy' elements had been discovered in a sample of mica. Its atomic number was believed to be 126. What is the most probable distance of the innermost electrons from the nucleus of an atom of this element? (In such elements, relativist... | {
"stem_75": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.12 $\\mathrm{pm}$",
"opt_B": "0.72 $\\mathrm{pm}$",
"opt_C": "0.82 $\\mathrm{pm}$",
"opt_D": "0.22 $\\mathrm{pm}$",
"opt_E": "0.02 $\\math... |
"Problem Statement:\nFind the sublimation rate of a uranium hexafluoride UF_6 cylinder7 mm. diameter when exposed to an air stream flowingat a velocity of 3.5 m/s. The bulk air is at 65°C and 1 atm. pressure.The surface temperature of the solidis 40°C at which its vapor pressure is 410 mm. Hg (54.65kN/m^2). The average... | {
"stem_76": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "29.78 kmolUF_6/m^2.s",
"opt_B": "0.731 kmolUF_6/m^2.s",
"opt_C": "1.442 × 10-3kmol/m2.sec. kmol/m",
"opt_D": "5.23 × 10^-4 kmolUF_6/m^2.s",
... |
"Problem Statement:\nA container with a plunger compresses one lb-mol of an ideal gas from 1 atmosphere pressure to 10 atmospheres. Calculate the amount of work done if the process is considered to bepolytropic. Assume the temperature to be 273°K and k for the process to be 1.4. All losses are neglected." | {
"stem_77": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 2.50 × 10^6 ft-lb_f",
"opt_B": "- 1.83 × 10^6 ft-lb_f",
"opt_C": "- 1.73 × 10^6 ft-lb_f",
"opt_D": "- 2.10 × 10^6 ft-lb_f",
"opt_E": "- 3.... |
"Problem Statement:\nA concentrated charge of 10 microcoulombs exists in an extensive mass of Bakelite. Determine the total energy contained in the electric field outside a radial distance of (a) 10 meters, (b) 1 meter, (c) 10 centimenters, and (d) centimeter." | {
"stem_78": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 0.10 joule, (b) 1.0 joule, (c) 10 joules, (d) 100 joules",
"opt_B": "(a) 0.50 joule, (b) 5.0 joules, (c) 50 joules, (d) 500 joules",
"opt_C": "(a) 0... |
"Problem Statement:\nGiven the ABCD parameters \\vertV_1\\vert = \\vertAB\\vert\\vert V_2 \\vert \\vertI_1\\vert\\vertCD\\vert\\vert- I_2\\vert(1) for a two port network. Find the G parameters, \\vertI_1\\vert = \\vertg_11g_12\\vert\\vertV_1\\vert \\vertV_2\\vert\\vertg_21g_22\\vert\\vertI2\\vert(2) in terms of the ABC... | {
"stem_79": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "g_11 = (C/D), g_22 = (A / C), g_21 = (D / A), g_12 = {(DC - AB) / (D)}, y_12 = [(\\DeltaT) / D]",
"opt_B": "g_11 = (D/B), g_22 = (A / D), g_21 = (C / B), g_12... |
"Problem Statement:\nCalculate the pressure required to compress 2 liters of a gas at 700 mm pressure and 20°C into a container of 0.1 liter capacity at a temperature of - 150°C." | {
"stem_80": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6050 mm",
"opt_B": "5700 mm",
"opt_C": "5877 mm",
"opt_D": "5950 mm",
"opt_E": "5750 mm",
"opt_F": "5800 mm",
"opt_G": "5860 mm"... |
"Problem Statement:\nData for the vapor pressure, P of a liquid with a normal boiling point of 27°C is given. A plot oflnPvs1/T results in a straight line. Calculate the heat of vapori-zation of the liquid if the straight line extrapolated to infinite temperature yields a pressure of 10^5 atm." | {
"stem_81": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.855 kcal",
"opt_B": "5.5 kcal",
"opt_C": "3.985 kcal",
"opt_D": "4.2 kcal",
"opt_E": "11.2 kcal",
"opt_F": "12 kcal",
"opt_G":... |
"Problem Statement:\nAn air-vapor mixture, initially at 60°F and 55 percent relative humidity, is heated until its temperature reaches 85°F. Determine (a) the initial and final specifichumidities, (b) the final relative humidity, and (c) the amount of heat added perlbmof dry air. Assume the mixture to be at a pressure ... | {
"stem_82": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Initial and final specific humidities: 0.00802lbm vapor/lbm dry air, Final relative humidity: 22.64 percent, Heat added: 5.1 Btu/lbm of dry air",
"opt_B": "In... |
"Problem Statement:\nDetermine the bandwidth of a frequency modulated signal v(t), given by v(t) = 10cos(2 × 10^7\\pit + 20cos1000\\pit)" | {
"stem_83": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10 kHz",
"opt_B": "15 kHz",
"opt_C": "11 kHz",
"opt_D": "21 kHz",
"opt_E": "500 Hz",
"opt_F": "40 kHz",
"opt_G": "20500 Hz",
... |
"Problem Statement:\nFour capacitors each of 40 µF are connected in parallel, the equivalent capacitance of the system will be" | {
"stem_84": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "80 µF",
"opt_B": "100 µF",
"opt_C": "10 µF",
"opt_D": "5 µF",
"opt_E": "60 µF",
"opt_F": "160 µF",
"opt_G": "120 µF",
"opt... |
"Problem Statement:\nA cylinder contains 30 lbm of liquid water and water vapor mixture in equilibrium at a pressure of 100 lbf/in^2. If the volume of the cylinder is 10 ft^3 calculate a) the volume and mass of liquid b) the volume and mass of vapor" | {
"stem_85": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a) Volume of liquid = 0.018 ft^3, Mass of liquid = 0.95 lbm. b) Volume of vapor = 9.982 ft^3, Mass of vapor = 2.05 lbm",
"opt_B": "a) Volume of liquid = 0.015... |
"Problem Statement:\nA 0.1 m diameter, 0.1 m high solid copper cylinder is initially at 180°C. It is then placed in a room and is allowed to cool to a final temperature of 30°C. Assuming copper to have a density of 8954 kJ/kg - °K, calculate the heat transfer and the irreversibility of the process if the temperature of... | {
"stem_86": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Heat Transfer: - 421.74 kJ, Irreversibility: 84.79 kJ",
"opt_B": "Heat Transfer: - 440 kJ, Irreversibility: 88 kJ",
"opt_C": "Heat Transfer: - 480 kJ, I... |
"Problem Statement:\nEvaluate the determinant \\vert1- 4- 5\\vert \\Delta=\\vert123\\vert \\vert- 31- 2\\vert" | {
"stem_87": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-28",
"opt_B": "28",
"opt_C": "-7",
"opt_D": "0",
"opt_E": "7",
"opt_F": "10",
"opt_G": "-14",
"opt_H": "14",
"opt_I... |
"Problem Statement:\nCerium(III) sulfate, Ce2(SO4)2, is less soluble in hot water than it is in cold. Which of the following conclusions may be related to this?" | {
"stem_88": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The hydration energies of cerium ions and sulfate ions are very high.",
"opt_B": "The heat of solution of cerium(III) sulfate is isothermic.",
"opt_C": ... |
"Problem Statement:\nDuring a delay, spins with an offset frequency Ω = 250 rad s-1 precess through an angle of 60°. How long is the delay?" | {
"stem_89": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.8 seconds",
"opt_B": "400 ms",
"opt_C": "32.7 ms",
"opt_D": "2 seconds",
"opt_E": "4.19 ms",
"opt_F": "26.3 ms",
"opt_G": "500... |
"Problem Statement:\nAt low velocities (laminar flow), the volume flux Q through a small-boretube is a function only of the pipe radius r, the fluidviscosity \\mu, and the pressure drop per unit pipe length (dp/dx). Using the power-product method, rewrite the suggestedrelationship Q = f{r, \\mu, (dp/dx)} in dimensionle... | {
"stem_90": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Q = (const) (μ/r^4) (dp/dx)",
"opt_B": "Q = (const) (r/\\mu) (dp/dx)",
"opt_C": "Q = (const) (r^3/\\mu) (dp/dx)",
"opt_D": "Q = (const) (r^5/μ^2) ... |
"Problem Statement:\nThe inductance of linear time-varying inductor is given by L(t) = L_0(t +tanht) and the current through it is given by i (t) =cos\\omegat Find the voltage across this inductor." | {
"stem_91": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "U(t) = L_0 (1 - tanht)cos\\omegat + \\omegaL_0 (t - sech^2t)sin\\omegat",
"opt_B": "U(t) = L_0 (1 + sech^2t)cos\\omegat+ \\omegaL_0 (t +tanht)sin\\omegat",
... |
"Problem Statement:\nThe bulk temperature of water is to be raised from 50°F (283.3°K) to 80°F (300°K) by passing it through a 2 in. I.D. (0.0508m) smooth piping, which has a constant wall temperature of 210°F (372.2°K). If the average fluid velocity is 10 ft/sec, determine the length of piping needed." | {
"stem_92": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.02 ft",
"opt_B": "10.56 ft",
"opt_C": "18.34 ft",
"opt_D": "12.76 ft",
"opt_E": "15.24 ft",
"opt_F": "9.84 ft",
"opt_G": "8.9... |
"Problem Statement:\nAn ideal gas is enclosed inside a chamber with a volume of 0.1 ft^3 at 115°C, 690kPa. It then expandsisentropicallyto a final pressure of 138kPa. Calculate the work done during the process, assuming that for this gas c_v= 0.7201 kJ/kg-°K c_p = 1.0048 kJ/kg-°K" | {
"stem_93": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.3456 kJ",
"opt_B": "3.2109 kJ",
"opt_C": "2.0000 kJ",
"opt_D": "1.5678 kJ",
"opt_E": "1.4567 kJ",
"opt_F": "2.6789 kJ",
"opt_G... |
"Problem Statement:\n(a) A mixture of air and water vapor is passing over a flat plate 2 ft long at a rate of 210 ft/sec at 1atmand 75°F. Determine the mass transfer coefficient of water vapor in air if the flow is turbulent and the concentration of water vapor in air is very low (i.e.,P_bm/ P \\approx 1). (b) Find the... | {
"stem_94": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.600 ft/sec for flat plate, 0.300 ft/sec for sphere",
"opt_B": "0.516 ft/sec for flat plate, 0.25 ft/sec for sphere",
"opt_C": "0.25 ft/sec for flat pl... |
"Problem Statement:\nCalculate the percentage difference between $e^x$ and $1+x$ for $x=0.0050$" | {
"stem_95": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.50 $10^{-3} \\%$",
"opt_B": "2.50 $10^{-3} \\%$",
"opt_C": "0.75 $10^{-3} \\%$",
"opt_D": "2.00 $10^{-3} \\%$",
"opt_E": "1.25 $10^{-3} \\... |
"Problem Statement:\n(1) The terminal voltage of a motor is 240 volts and the armature current is 60 amp. The armature resistance is 0.08 ohm. The counter emf is 235.2 volts. What is the power developed by the motor (a) in watts and (b) in horsepower ? (2) The measured speed of a motor is 1,100 rpm. The net force regis... | {
"stem_96": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "13,000 watts, 17.44 hp, 7.50 hp",
"opt_B": "12,000 watts, 16.10 hp, 6.90 hp",
"opt_C": "10,000 watts, 13.41 hp, 5.95 hp",
"opt_D": "15,500 watts, ... |
"Problem Statement:\nLet \\textphi = x^2 - y^2 be the potential functions for anirrotational flow. Find the velocity components as functions of x, y, and z." | {
"stem_97": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "V_x= 2x^2, V_y= -2y^2, V_z= 0",
"opt_B": "V_x= 2y, V_y= -2x, V_z= 0",
"opt_C": "V_x= 2x, V_y= -2y, V_z= 0",
"opt_D": "V_x= x, V_y= y, V_z= z",
... |
"Problem Statement:\nThe wet surface of a cylinder placed perpendicular to a turbulent air stream flowing with a velocity of 20 ft/sec absorbs ammonia NH_3. For this process mass transfer data is not available, But heat transfer tests conducted with same geometry and air velocity yielded a heat transfer coefficient, h ... | {
"stem_98": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "800 ft/hr",
"opt_B": "900 ft/hr",
"opt_C": "950 ft/hr",
"opt_D": "758.3 ft/hr",
"opt_E": "850 ft/hr",
"opt_F": "700 ft/hr",
"opt... |
"Problem Statement:\nA 50.0 mL sample of 0.0025 M HBr is mixed with 50.0 mL of 0.0023 M KOH. What is the pH of the resulting mixture?" | {
"stem_99": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6",
"opt_B": "7",
"opt_C": "3",
"opt_D": "1",
"opt_E": "4",
"opt_F": "11",
"opt_G": "2",
"opt_H": "12",
"opt_I": "5"... |
"Problem Statement:\nThe rate of a first order reaction increases from r = 1.5 × 10^-2 sec^-1 tor_c= 4.6 sec^-1 at 260°C when a catalyst is added to the reaction. Calculate the decrease in the activation enthalpy H, assuming S°, the activation entropy, is not affected by the catalyst." | {
"stem_100": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.063 kcal/mole",
"opt_B": "7.560 kcal/mole",
"opt_C": "6.560 kcal/mole",
"opt_D": "6.563 kcal/mole",
"opt_E": "4.563 kcal/mole",
"op... |
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