state unknown | questions unknown |
|---|---|
"Problem Statement:\nThe amplitude of a plane wave in a medium with \\mu_r = 1 and\\epsilon_r= 4 is H_o = 5 amp/meter. Find (a) the average Poynting vector,(b) the maximum energy density for this plane wave." | {
"stem_1242": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "S_AV = 2750 W/m^2, W_peak = 3.2 × 10^-4 joule/meter^2",
"opt_B": "S_AV = 2354 W/m^2, W_peak = 3.1 × 10^-4 joule/meter^2",
"opt_C": "S_AV = 2500 W/m^2,... |
"Problem Statement:\nWhich of the following has an octet of electrons around the central atom?" | {
"stem_1243": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "BF3",
"opt_B": "BeF2",
"opt_C": "PF5",
"opt_D": "NH4+",
"opt_E": "SF6"
},
"label": "opt_D"
}
} |
"Problem Statement:\nOne kg of water is initially located 100m above a very large lake. The water, the lake, and the air are at a uniform temperatureof 20°C. Then the one kg of water falls into the lake, mixing and coming to equilibrium with it. Determine the entropychange associated with this process." | {
"stem_1245": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.123 J/ K",
"opt_B": "2.987 J/K",
"opt_C": "0 J/K",
"opt_D": "4.901 J/K",
"opt_E": "6.214 J/K",
"opt_F": "4.567 J/ K",
"opt_G... |
"Problem Statement:\nAir at an initial pressure and temperature of 1 bar and 17°C respectively is contained inside a cylinder. The air is then compressedpolytropically, along a path for which n = 1.30, until the final pressure inside the cylinder is 5 bars. What is the heat transferred per kg of air for this process?" | {
"stem_1246": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 31.33 kJ/kg",
"opt_B": "62.15 kJ/kg",
"opt_C": "-93.45 kJ/kg",
"opt_D": "155.67 kJ/kg",
"opt_E": "124.78 kJ/kg",
"opt_F": "93.45 k... |
"Problem Statement:\nDetermine the maximum theoretical height to which water at 150°F may be raised by a vacuum at sea level." | {
"stem_1247": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "29.85 ft",
"opt_B": "42.67 ft",
"opt_C": "55.16 ft",
"opt_D": "18.95 ft",
"opt_E": "75.5 ft",
"opt_F": "34.59 ft",
"opt_G": "6... |
"Problem Statement:\nIt has been found that the following sequence can be used to prepare sodium sulfate, Na_2 SO_4 : S (s) + O_2 (g)\\rightarrow SO_2 (g) 2SO_2 (g) + O_2 (g)\\rightarrow 2SO_3 (g) SO_3 (g) + H_2 O(l)\\rightarrow H_2 SO_4 (l) 2NaOH + H_2 SO_4\\rightarrow Na_2 SO_4 + 2H_2 O If you performed this sequence... | {
"stem_1248": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2 moles of Na_2 SO_4, 0.5 moles of Na_2 SO_4",
"opt_B": "0.5 moles of Na_2 SO_4, 0.5 moles of Na_2 SO_4",
"opt_C": "1 mole of Na_2 SO_4, 1 mole of Na_... |
"Problem Statement:\nCalculate the minimum depth at which water pipes have to bepositioned below the ground surface to avoid freezing in a geographicalarea with a mean winter temperature of 7°C andif the temperature of ambient air suddenly drops to - 8°C and remains there for a maximum period of 60 hrs." | {
"stem_1249": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "27.9 cm",
"opt_B": "30.5 cm",
"opt_C": "25.4 cm",
"opt_D": "20.3 cm",
"opt_E": "12.7 cm",
"opt_F": "22.5 cm",
"opt_G": "17.8 c... |
"Problem Statement:\nA 200 W, 240 V, 50 Hz, 4-pole, 1-ph induction motor runs on rated load with a slip of 0.05 p. u. , The parameters are: r_1 = 11.4 \\Omega, x_1 = 14.5 \\Omega, (1/2) r_2 = 11 6.9 \\Omega, (1/2) x_2 = 7.2 \\Omega, (1/2)x_m= 135 \\Omega; core and mechanical loss, 32 W. Estimate the full-load performan... | {
"stem_1252": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.67 p. u.",
"opt_B": "0.75 p. u.",
"opt_C": "0.63 p. u.",
"opt_D": "0.48 p. u.",
"opt_E": "0.85 p. u.",
"opt_F": "0.76 p. u.",
... |
"Problem Statement:\nA marine research facility uses a towing basin to test models of proposed ship hull configurations. A new hull shape utilizing a bulbous underwater bow is proposed for a nuclear- powered aircraft carrier that is to be 300 m long. A 3-m model has been tested in the towing tank and found to have a ma... | {
"stem_1253": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "18 m/s",
"opt_B": "20 m/s",
"opt_C": "12 m/s",
"opt_D": "14 m/s",
"opt_E": "10 m/s",
"opt_F": "25 m/s",
"opt_G": "30 m/s",
... |
"Problem Statement:\nA saturated air-water-vapor mixture is at - 80°F and 14.7 psia. Determine its humidity ratio." | {
"stem_1254": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.99 × 10^-7 lbmwater/lbmdry air",
"opt_B": "7.99 × 10^-6 lbmwater/lbmdry air",
"opt_C": "1.09 × 10^-5 lbmwater/lbmdry air",
"opt_D": "3.49 × 10... |
"Problem Statement:\nWhat is the mass of one molecule of cholesterol (C27H46O, molecular mass = 386)?" | {
"stem_1255": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3 × 10^-23 g",
"opt_B": "7.15 × 10^-22 g",
"opt_C": "1.38 × 10^-21 g",
"opt_D": "6.41 × 10^-22 g",
"opt_E": "8.41 × 10^-22 g",
"opt_... |
"Problem Statement:\nWater is flowing through a 4 in. inside diameter, wrought iron pipe of 100 ft., at a mean velocity of 6 feet/sec. If the outlet of the pipe is 3 ft. higher than the inlet, determine the power required to obtain this flow rate." | {
"stem_1256": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.50 hp",
"opt_B": "2.25 hp",
"opt_C": "1.25 hp",
"opt_D": "0.934 hp",
"opt_E": "1.05 hp",
"opt_F": "1.5 hp",
"opt_G": "0.75 h... |
"Problem Statement:\nA turbine takes in air at 825K, 690kPaand expands it to 138 kPaand 585K. Assuming air to be an ideal gas, calculate a) the available energy of the air taken in, b) the loss of available energy in the turbine, and c) T_0, the isentropic exit temperature, or, the lowest available temperature." | {
"stem_1257": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "290.5 kJ/kg, -75.4 kJ/kg, 515.9K",
"opt_B": "315.5 kJ/kg, -55.4 kJ/kg, 510.9K",
"opt_C": "295.5 kJ/kg, -60.4 kJ/kg, 500.9K",
"opt_D": "280.5 kJ/... |
"Problem Statement:\nElectrical analogous quantity for spring element (K) in force-voltage analogy is" | {
"stem_1258": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "V",
"opt_B": "1/C",
"opt_C": "C",
"opt_D": "L",
"opt_E": "LC",
"opt_F": "1/L",
"opt_G": "1/R",
"opt_H": "RC",
"opt... |
"Problem Statement:\nA frequency modulation (FM) receiver with input signal- to- noise ratio (S_i /nf_m) = 40 dB is used to pick- up sig-nals from different FM stations. If the transmitted FM signal is represented by km(t) = \\beta \\bullet \\omega \\bulletcos(\\omega_mt), calcu-late output signal- to- noise ratio for ... | {
"stem_1259": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "β = 5, 58.7 dB; β = 10, 64.7 dB; β = 105, 85.185 dB",
"opt_B": "β = 5, 55.7 dB; β = 10, 61.7 dB; β = 105, 82.185 dB",
"opt_C": "β = 5, 50 dB; β = 10, ... |
"Problem Statement:\n40.0 kJ of energy is added to 1.00 gram of magnesium atoms in the vapor state. What is the composition of the final mixture? The first ionization potential of Mg is 735 kJ/mole and the second ionization potential is 1447 kJ/mole." | {
"stem_1260": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Mg atoms 100% (no ionization)",
"opt_B": "Mg^++ 10%, Mg^+ 90%",
"opt_C": "Mg^++ 30%, Mg^+ 70%",
"opt_D": "Mg^++ 20%, Mg^+ 80%",
"opt_E": "... |
"Problem Statement:\nSpeed of data transmission in 4-G network of telecom is" | {
"stem_1261": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10 gbps - 100 gbps.",
"opt_B": "50 mbps - 500 mbps.",
"opt_C": "2 mbps – 1 gbps.",
"opt_D": "100 mbps - 1 gbps.",
"opt_E": "386 kbps - 2 m... |
"Problem Statement:\nPotentiometer method of DC voltage measurement is more accurate than direct measurement using a voltmeter because" | {
"stem_1262": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "It does not load the circuit at all.",
"opt_B": "It uses a potentiometer, which is more accurate than a voltmeter.",
"opt_C": "It uses a more precise ... |
"Problem Statement:\nAn equilibrium solution of the complex ion Ag(NH_3)_2^+ contains 0.30 M of NH_4^+ and 0.15 M of the actual ^+complex ion. To obtain a concentration of Ag^+ equal to 1.0 × 10^-6 M, what must the pH of this solution be?K_dissof Ag(NH_3)_2^+ = 6.0 × 10^-8, K_b of NH_3 = 1.8 × 10^-5 and K_W = 1 × 10^-1... | {
"stem_1263": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.45",
"opt_B": "10.50",
"opt_C": "6.90",
"opt_D": "8.76",
"opt_E": "7.00",
"opt_F": "7.80",
"opt_G": "10.00",
"opt_H": ... |
"Problem Statement:\nThe weight percent of sodium hydroxide dissolved in water is 50%. What is the mole fraction of sodium hydroxide?" | {
"stem_1264": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.311",
"opt_B": "0.5",
"opt_C": "1.00",
"opt_D": "0.05",
"opt_E": "0.10",
"opt_F": "0.25",
"opt_G": "0.164",
"opt_H": "... |
"Problem Statement:\nPrescribe, by an appropriate unit vector, the direction in which a positive test charge should be moved from (1, 3, - 1) in the fieldE= - xa_x + ya_y + 3a_z to experience (a) a maximum opposing force; (b) a maximum aiding force." | {
"stem_1265": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.688a_x + 0.229a_y + 0.688a_z, -0.688a_x - 0.229a_y - 0.688a_z",
"opt_B": "0.229a_x + 0.229a_y + 0.688a_z, -0.229a_x - 0.229a_y - 0.688a_z",
"opt_C":... |
"Problem Statement:\nNH_4HS(s) = NH_3(g) + H_2S(g) 0.06 mole of solid NH_4HS are introduced into a 2.4 liter flask at 20° C. (a) Calculate the per cent of the solid that will have decomposed into NH_3 and H_2S at equilibrium. (b)Calculate the number of moles of ammonia that would have to be added to the flask to reduce... | {
"stem_1267": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "36.1%, 0.763",
"opt_B": "40.5%, 0.895",
"opt_C": "39.8%, 0.845",
"opt_D": "37.33%, 0.833",
"opt_E": "38.5%, 0.867",
"opt_F": "45.0%,... |
"Problem Statement:\nA certain gas obeys the van der Waals equation with $a=0.50 \\mathrm{~m}^6 \\mathrm{~Pa}$ $\\mathrm{mol}^{-2}$. Its volume is found to be $5.00 \\times 10^{-4} \\mathrm{~m}^3 \\mathrm{~mol}^{-1}$ at $273 \\mathrm{~K}$ and $3.0 \\mathrm{MPa}$. From this information calculate the van der Waals consta... | {
"stem_1268": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.70",
"opt_B": "0.55",
"opt_C": "0.82",
"opt_D": "0.72",
"opt_E": "0.50",
"opt_F": "0.66",
"opt_G": "0.60",
"opt_H": "0... |
"Problem Statement:\nThe nonlinear characteristic of a capacitor is given by q(t) = 0.5\\nu^2 (t) The voltage across this capacitor is given by \\nu(t) = 1 + 0.5 sin t Find the current through this capacitor." | {
"stem_1269": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "i(t) = 0.5cos t + 0.25 sin 2t",
"opt_B": "i(t) = .5cos 2t + .125 sin 2t",
"opt_C": "i(t) = 0.5cos 2t + 0.125 cos t",
"opt_D": "i(t) = .5sin + .1... |
"Problem Statement:\nA rigid vessel which has a volume of 0.5m^3 is filled with Freon-12 at 0.5 MPa, 50°C. It is then heated until the Freon-12 is fully saturated vapor. Calculate the heat transfer for this process." | {
"stem_1270": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 320 kJ",
"opt_B": "- 277.93 kJ",
"opt_C": "- 250 kJ",
"opt_D": "- 287.76 kJ",
"opt_E": "- 305.5 kJ",
"opt_F": "- 212.5 kJ",
... |
"Problem Statement:\nGiven the reaction A + B \\rightleftarrows C + D, find the equilibrium constant for this reaction if .7 moles of C are formed when 1 mole of A and 1 mole of B are initially present. For this same equilibrium, find the equilibrium composition when 1 mole each of A, B, C, and D are initial-ly present... | {
"stem_1271": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "equilibrium constant is 7.00, concentration of A and B is 0.45M, and of C and D is 1.55M",
"opt_B": "equilibrium constant is 6.23, concentration of A and B ... |
"Problem Statement:\nCalculate the heat of formation of CH_4(g) in the reaction: C(graphite) + 2H_2(g) = CH_4(g) , using the reactions below and their given \\DeltaH° values CH_4(g) + 2O_2(g) = CO_2(g) + 2H_2O(1) \\DeltaH° = -212.80 kcal mole^-1 C(graphite) + C_2 (g) = CO_2 (g)\\DeltaH° = -94.05 kcal mole^-1 H_2(g) + (... | {
"stem_1272": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 50.26 kcal mole^-1",
"opt_B": "- 17.89 kcal mole^-1",
"opt_C": "- 76.41 kcal mole^-1",
"opt_D": "- 68.32 kcal mole^-1",
"opt_E": "- 158.... |
"Problem Statement:\nA 1(1/2) in sch. 40 steam pipe is laid in the atmosphere where the temperature is 50°F. The steam inside it is saturated at 100psia. Consider the pipe to be a grey body anduninsulated. The coefficient of heat transfer by natural convection from the outside surface is 2.0 Btu/hr sq ft R. Calculate t... | {
"stem_1273": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.65 lb of steam/hr-ft of pipe",
"opt_B": "0.50 lb of steam/hr-ft of pipe",
"opt_C": "0.70 lb of steam/hr-ft of pipe",
"opt_D": "0.55 lb of stea... |
"Problem Statement:\nFour gallons of gasoline (A) is poured on a surface area of 20 ft^2.Determine the time necessary for the gasoline to evaporateinto still dry air (B). The diffusivity is D_AB = 6.5 ft^2 / hr. Evaporation occurs through a 6 in. filmat65°F. The gasoline has a vapor pressure of 2psia." | {
"stem_1274": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.5 hr",
"opt_B": "7.2 hr",
"opt_C": "2.5 hr",
"opt_D": "14.1 hr",
"opt_E": "9.5 hr",
"opt_F": "12.8 hr",
"opt_G": "4.7 hr",
... |
"Problem Statement:\nThe reaction of sodium oxide with hydrochloric acid is describedby the following chemical equation, Na_2O(s) +2HCl(g) \\rightleftharpoons 2NaCl(s) + H_2O(1) Calculate the heat of reaction @ 298°K using the following data. Data Standard heats of formation NaCl(s)- 98.6 \\pm 0.2 kcal/mole Na_2O(s)- 1... | {
"stem_1275": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "22.0 ± 1.0 kcal",
"opt_B": "- 100.7 ± 1.2 kcal",
"opt_C": "- 68.32 ± 0.01 kcal",
"opt_D": "120.82 ± 1.81 kcal",
"opt_E": "- 55.1 ± 0.6 kca... |
"Problem Statement:\nAn air-water-vapor mixture at 1atmand 75°F has a relative humidity of 0.45. For this mixture, calculate the specific humidity, the dew point and the partial pressures." | {
"stem_1276": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Specific humidity: 8.297 × 10^-3 lbmwater/lbmair, Dew point: 52.15°F, Partial pressures: 0.1935pisa (water), 14.5065pisa (air)",
"opt_B": "Specific humidity... |
"Problem Statement:\nWhich of the following should be named using Roman numerals after the cation?" | {
"stem_1277": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "AlBr3",
"opt_B": "Na2O",
"opt_C": "K2Cr2O7",
"opt_D": "CaCl2",
"opt_E": "NH4Cl",
"opt_F": "H2SO4",
"opt_G": "MgSO4",
"op... |
"Problem Statement:\nFind a recursion equation satisfying y [n] where y [n] is the sum of the squares of all integers from 0 to n." | {
"stem_1278": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "y [n-1] = y [n] + n^2; n \\geq 1 where y [0] = 0",
"opt_B": "y [n] = (n(n+1)(2n+1))/6; n \\geq 0",
"opt_C": "y [n-1] = y [n] * n^2; n \\geq 1 where y ... |
"Problem Statement:\nIf 1.0 g of rubidium and 1.0 g of bromine are reacted, what will be left in measurable amounts (more than 0.10 mg) in the reaction vessel?" | {
"stem_1279": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "RbBr only",
"opt_B": "RbBr, Rb, Br2, and Rb2Br",
"opt_C": "RbBr and Rb2Br only",
"opt_D": "RbBr, Rb, and Br2",
"opt_E": "Rb and Br2 only",... |
"Problem Statement:\nCalculate the pH of (a) a 0.5 M solution with respect to CH_3COOH and CH_3COONa; (b) the same solution after 0.1 mole HCl per liter has been added to it. Assume that the volume is unchanged. K_a = 1.75 × 10^-5." | {
"stem_1280": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.70, 4.60",
"opt_B": "4.85, 4.50",
"opt_C": "4.76, 4.65",
"opt_D": "4.65, 4.85",
"opt_E": "4.85, 4.76",
"opt_F": "5.00, 4.90",
... |
"Problem Statement:\nThe approximate radiation fields of a certain antenna are H_\\textphi= (1/r) sin \\textthetacos(\\cyrchar\\cyromegat-\\betar) andE_\\texttheta= 377H_\\textphi. Determine the energy flow in watts out of the volume surrounded by the spherical surface S of radius r, with center at the origin." | {
"stem_1281": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "377 watts",
"opt_B": "188.5 watts",
"opt_C": "3160 watts",
"opt_D": "6340 watts",
"opt_E": "1130 watts",
"opt_F": "1500 watts",
... |
"Problem Statement:\nCalculate the density of the tightly coiled tropocollagen molecule, which may be considered to be a cylinder 2,800 \\AA long and 14 \\AA in diameter. It contains three poly-peptide chains of 1,000 amino acid residues each." | {
"stem_1282": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.00 g/cm^3",
"opt_B": "1.39 g/ cm^3",
"opt_C": "1.55 g/cm^3",
"opt_D": "2.34 g/ cm^3",
"opt_E": "0.95 g/cm^3",
"opt_F": "1.25 g/cm^... |
"Problem Statement:\nA volatile fuel when spilled on a large flat surface quickly spreadsover a depth 1/4 in. and a length of 7 ft. The fuel is at60°F with a vapor pressure of 2psiahas the physical propertiesѵ = 10^-5 ft / sec, \\rho = 54lb_m/ ft^3 and D_AB = 0.55 ft^2 / hr. The kinematic viscosity of air is 1.62 × 10^... | {
"stem_1283": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.200lb_m/hr-ft^2",
"opt_B": "0.990lb_m/hr-ft^2",
"opt_C": "0.400lb_m/hr-ft^2",
"opt_D": "1.050lb_m/hr-ft^2",
"opt_E": "0.774lb_m/hr-ft^2"... |
"Problem Statement:\nThe 1H Larmor frequency of benzene exceeds that of trifluoroacetic acid by 1.656 kHz on a 400 MHz spectrometer. The 1H chemical shift of benzene is 7.16 ppm. What is the chemical shift of trifluoroacetic acid?" | {
"stem_1284": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.50 ppm",
"opt_B": "10.56 ppm",
"opt_C": "5.03 ppm",
"opt_D": "8.45 ppm",
"opt_E": "11.30 ppm",
"opt_F": "13.10 ppm",
"opt_G... |
"Problem Statement:\nA 5-kva transformer has a nominal voltage rating of 1,100/110 volts. With the low-voltage winding short-circuited, it is found by experiment that 33 volts is required to circulate rated full-load current, and the corresponding power input is 85 watts. Find the percent regulation when the load takes... | {
"stem_1285": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.25%",
"opt_B": "5.00%",
"opt_C": "2.45%",
"opt_D": "4.85%",
"opt_E": "3.25%",
"opt_F": "3.85%",
"opt_G": "2.10%",
"opt... |
"Problem Statement:\nKhudseneffusion technique was used to determine the vapor pressure of scandium and the following data were obtained temperature, 1555.4°K time, 110.5 min weight loss and diameter of orifice were 9.57 mg and 0.2965 cm, respectively. Use the above data to estimate the vapor pressure of scandium at 15... | {
"stem_1287": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.77 × 10^-6 atm",
"opt_B": "5.77 × 10^-6 atm",
"opt_C": "3.77 × 10^-5 atm",
"opt_D": "3.77 × 10^-6 atm",
"opt_E": "2.77 × 10^-4 atm",
... |
"Problem Statement:\nFind the degree of ionization of 0.05 M NH_3 in a solution of pH 11.0. K_b = 1.76 × 10^-5." | {
"stem_1288": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.00 × 10^-4",
"opt_B": "6.20 × 10^-3",
"opt_C": "9.00 × 10^-4",
"opt_D": "3.50 × 10^-3",
"opt_E": "1.76 × 10^-5",
"opt_F": "1 × 10^... |
"Problem Statement:\nFind the equivalent sheet current density K' for a uniformly magnetized rod 20cmslong, with 10 cm^2 area of cross-section, and a pole strength of 100 amp-meters. Also find the current I required for a 1,000-turn solenoid of the same size to be magnetically equivalent." | {
"stem_1289": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10^6 amp/meter, 5 amp",
"opt_B": "10^5 amp/meter, 20 amp",
"opt_C": "8 x 10^4 amp/meter, 40 amp",
"opt_D": "10^3 amp/meter, 50 amp",
"opt_... |
"Problem Statement:\nFind the pH of 0.15 M H_2SO_4, solution, assuming K_2 =1.26 × 10^-2." | {
"stem_1290": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.87",
"opt_B": "0.79",
"opt_C": "1.75",
"opt_D": "2.30",
"opt_E": "1.26",
"opt_F": "0.15",
"opt_G": "0.30",
"opt_H": "3... |
"Problem Statement:\nWhat is the pH of a neutral solution at 50°C? pK_W= 13.26 at 50°C." | {
"stem_1291": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12.63",
"opt_B": "14",
"opt_C": "13.26",
"opt_D": "7",
"opt_E": "7.26",
"opt_F": "6.5",
"opt_G": "6.63",
"opt_H": "7.5",... |
"Problem Statement:\nWhat is the maximum number of phases that can be at equilibrium with each other in a three component mixture?" | {
"stem_1292": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6",
"opt_B": "9",
"opt_C": "2",
"opt_D": "4",
"opt_E": "10",
"opt_F": "8",
"opt_G": "7",
"opt_H": "3",
"opt_I": "1... |
"Problem Statement:\nA single turn loop is situated in air, with a uniform magnetic field normal to its plane. The area of the loop is 5 meter^2. What is theemfappearing at the terminals of the loop, if the rate of change of flux density is 2webers/meter^2/sec ?" | {
"stem_1293": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "30 volts",
"opt_B": "10 volts",
"opt_C": "12 volts",
"opt_D": "0 volts",
"opt_E": "25 volts",
"opt_F": "7.5 volts",
"opt_G": "... |
"Problem Statement:\nCarbon dioxide decomposes into carbon monoxide and oxygenby the following reaction: CO_2 \\rightleftharpoons CO + (1/2)O_2. Calculate the equilibrium compositions and the extent of reactionat 5301°F and 1 atm. Assume thatK_punder these conditionsis equal to 0.647." | {
"stem_1294": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\epsilon = 0.378, x_C_(_O)2= 0.127, x_CO= 0.248, x_(_O)2= 0.025",
"opt_B": "\\epsilon = 0.278, x_{CO_2} = 0.527, x_{CO} = 0.148, x_{O_2} = 0.325",
"o... |
"Problem Statement:\nThe chemical shift of the $\\mathrm{CH}_3$ protons in acetaldehyde (ethanal) is $\\delta=2.20$ and that of the $\\mathrm{CHO}$ proton is 9.80 . What is the difference in local magnetic field between the two regions of the molecule when the applied field is $1.5 \\mathrm{~T}$" | {
"stem_1295": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8 $\\mu \\mathrm{T}$",
"opt_B": "25 μT",
"opt_C": "14 μT",
"opt_D": "18 μT",
"opt_E": "11 $\\mu \\mathrm{T}$",
"opt_F": "20 $\\mu \\... |
"Problem Statement:\nGiven a lossless medium with\\epsilon_r= 10 and \\mu_r = 5 find its impedance." | {
"stem_1296": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "132 ohms",
"opt_B": "377 ohms",
"opt_C": "150 ohms",
"opt_D": "300 ohms",
"opt_E": "266 ohms",
"opt_F": "500 ohms",
"opt_G": "... |
"Problem Statement:\nIf 2.02 g of hydrogen gas occupies 22.4 liters, calculate the density of hydrogen gas in grams per milliliter." | {
"stem_1297": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.5 × 10^-5 g/ml",
"opt_B": "12.0 × 10^-5 g/ml",
"opt_C": "10.0 × 10 ^-5 g/ml",
"opt_D": "4.5 × 10^-5 g/ml",
"opt_E": "1.1 × 10 ^-5 g/ml",... |
"Problem Statement:\nA tank contains saturated air-vapor mixture at 240°F and 55 psia. If the mixture contains 1 lb of dry air, calculate the volume of the tank and the mass of water vapor in the mixture." | {
"stem_1298": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.0 ft^3, 0.600 lbm",
"opt_B": "10.0 ft^3, 0.650 lbm",
"opt_C": "7.2 ft^3, 0.450 lbm",
"opt_D": "7.5 ft^3, 0.528 lbm",
"opt_E": "9.5 ft^3,... |
"Problem Statement:\nA ventilating duct with non-gray interior surfaces, at temperatureT_w= 600°K, has a uniform thickness of 12 mm andabsorption coefficient 120/m. A vapor at 1100°K is flowingthrough the channel. The black bodyradiosityof the vaporincreases linearly, at each wall over the boundary layerthickness of 2 ... | {
"stem_1299": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.5 × 10^4 W/m^2",
"opt_B": "8.0 × 10^3 W/m^2",
"opt_C": "1.5 × 10^4 W/m^2",
"opt_D": "2.5 × 10^4 W/m^2",
"opt_E": "2.0 × 10^4 W/m^2",
... |
"Problem Statement:\nFind the pH of a 0.1 M solution of ammonia, NH_3.pK_b= 1.76 × 10^-5." | {
"stem_1300": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12.11",
"opt_B": "9.45",
"opt_C": "12.76",
"opt_D": "10.56",
"opt_E": "10.88",
"opt_F": "9.87",
"opt_G": "11.98",
"opt_H... |
"Problem Statement:\nIn a diode vacuum tube consisting of a heated, plane metal cathode and a parallel plate, electrons are emitted from the cathode and are accelerated toward the plate. In the region between the two tube elements there is a cloud of electrons called a space charge. The potential function is given by V... | {
"stem_1301": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "time of flight = 6.5(10^-9) sec, velocity at plate = 4.93 (10^6) m per sec",
"opt_B": "time of flight = 7.5(10^-9) sec, velocity at plate = 3.93 (10^6) m pe... |
"Problem Statement:\nUnder which conditions will a real gas most closely behave as an ideal gas?" | {
"stem_1302": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Low temperature and low pressure",
"opt_B": "Low temperature and high pressure",
"opt_C": "High volume and high pressure",
"opt_D": "High temper... |
"Problem Statement:\nUsing Steinmetz law, determine the ergs loss per cycle in a coreof sheet iron having a net volume of 40 cu cm, in which themaximum flux density is 8,000 gauss. The value of \\eta for sheetiron is 0.004." | {
"stem_1303": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.0401 joules per cycle",
"opt_B": "0.0451 joules per cycle",
"opt_C": "0.0101 joules per cycle",
"opt_D": "0.0251 joules per cycle",
"opt... |
"Problem Statement:\nLet A= kr^nr̂(in spherical coordinates) Evaluate \\int\\int\\int_v \\nabla \\bulletAdv wherev is a sphere of radius a with center at the origin." | {
"stem_1304": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4\\pi k a^n+2",
"opt_B": "\\pi k a^n+2",
"opt_C": "2\\pi k a^n+1",
"opt_D": "5\\pi k a^n+3",
"opt_E": "6\\pi k a^n+1",
"opt_F": "4\\... |
"Problem Statement:\nThe function f is given by f(x, y, z) = [z / (x^2 + y^2)](1) Compute \\nablaf in cylindricalcoordinates\\rho, \\texttheta, z." | {
"stem_1305": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- (2z / \nho^2)u_\nho+ (1 / \nho^3)u_z",
"opt_B": "\\( (z / \\rho^3)u_\\rho + (1 / \\rho)u_\\theta - (1 / \\rho^3)u_z \\)",
"opt_C": "- (2z / \nho^3)u... |
"Problem Statement:\nA piece of iron weighing 20.0 g at a temperature of 95.0°C was placed in 100.0 g of water at 25.0°C. Assuming that no heat is lost to the surroundings, what is the resulting temperature of the iron and water? Specific heats: iron = .108 cal/g\\rule{1em}{1pt}C°; water = 1.0 cal/g\\rule{1em}{1pt}C°." | {
"stem_1306": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "30.0°C",
"opt_B": "28.6°C",
"opt_C": "24.0°C",
"opt_D": "31.7°C",
"opt_E": "26.48°C",
"opt_F": "25.2°C",
"opt_G": "33.8°C",
... |
"Problem Statement:\nA reciprocating refrigeration compressor uses Freon-12 as the refrigerant. The gas enters at 20lbf/in^2, 60°F and is compressed to 180lbf/in^2. The single cylinder compressor has a bore of 2.0 in, a stroke of 2.5 in and a rpm of 1800. Calculate the volumetric efficiency of this compressor if the ma... | {
"stem_1307": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "72.5%",
"opt_B": "68.4%",
"opt_C": "63.5%",
"opt_D": "70.3%",
"opt_E": "69.9%",
"opt_F": "71.8%",
"opt_G": "65.4%",
"opt... |
"Problem Statement:\n0.1m^3 of a ferromagnetic substance is kept at a constant temperatureof 4°K while the magnetic field is increased from0 to (4\\pi / 10) toweber/m^2. Obtain an expression for the workrequired if the substance follows the Curie equation of state. Assume C = 4\\pi × 10^9weber- °K/amp-m." | {
"stem_1308": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(16 × 10^6)πN-m",
"opt_B": "(12 × 10^6)πN-m",
"opt_C": "(4 × 10^5)πN-m",
"opt_D": "(3 × 10^6)πN-m",
"opt_E": "(6 × 10^6)πN-m",
"opt_... |
"Problem Statement:\nThe pressure in interplanetary space is estimated to be of the order of 10^-16torr. This corresponds to a density of about 4 molecules per cubic centimeter. What temperature must be assigned to the molecules in interplanetary space for this to be true?" | {
"stem_1309": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "50°C",
"opt_B": "273°C",
"opt_C": "3°C",
"opt_D": "-273°C",
"opt_E": "20°C",
"opt_F": "- 31°C",
"opt_G": "-100°C",
"opt_... |
"Problem Statement:\nThe equilibrium populations of the 1H energy levels of a molecule are nα = nαeq and nβ = nβeq. What are the populations after a 5.0 μs pulse when B1 = 4.697 mT?" | {
"stem_1310": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "nα = nβeq/2 and nβ = 2nαeq",
"opt_B": "nα = nαeq + 2nβeq and nβ = nβeq + 2nαeq",
"opt_C": "nα = 3nαeq and nβ = nβeq/2",
"opt_D": "nα = nαeq/3 an... |
"Problem Statement:\n(a )A transmission line consists of two No. 0 copper wires and is 5 miles long. How much power is wasted in the line when 75 amperes are flowing? (b) How many calories of heat per hour are developed in an electric heater which takes 7.5 amperes at 110 volts pressure?" | {
"stem_1311": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "29.7 kilowatts; 712,800 calories",
"opt_B": "26 kilowatts; 695,000 calories",
"opt_C": "31 kilowatts; 720,000 calories",
"opt_D": "28.5 kilowatt... |
"Problem Statement:\nFind the throat area, exit area and the exit Mach number for a nozzle having an efficiency of 90%. The initial air pressure and temperature are 60 psia and 1500°R respectively. The air mass flow rate is 0.6 lb/sec and the exit pressure is 14.696 psia." | {
"stem_1312": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Throat area: 0.0055 ft^2, Exit area: 0.0070 ft^2, Exit Mach number: 1.50",
"opt_B": "Throat area: 0.0070 ft^2, Exit area: 0.0080 ft^2, Exit Mach number: 1.2... |
"Problem Statement:\nA short dipole has a radiation resistance R_r=\\surd(\\mu_0 / \\epsilon_0) [(\\betal)^2 / (6\\pi)] ohms. FindA_emthe maximum effectiveaperture of this dipole." | {
"stem_1313": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.359 λ^2 square meters",
"opt_B": "0.219 λ^2 square meters",
"opt_C": "0.119 λ^2 square meters",
"opt_D": "0.259 λ^2 square meters",
"opt... |
"Problem Statement:\nDetermine themolarityof a 40.0% solution ofHClwhich has a density of 1.20 g/ml." | {
"stem_1314": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.15 M",
"opt_B": "16.20 M",
"opt_C": "15.00 M",
"opt_D": "12.75 M",
"opt_E": "9.95 M",
"opt_F": "11.80 M",
"opt_G": "13.50 M... |
"Problem Statement:\nEvaluate the series\n$$\nS=\\sum_{n=0}^{\\infty} \\frac{1}{3^n}\n$$" | {
"stem_1315": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2 / 3",
"opt_B": "1 / 2",
"opt_C": "1 / 3",
"opt_D": "3",
"opt_E": "7 / 4",
"opt_F": "4 / 3",
"opt_G": "5 / 3",
"opt_H":... |
"Problem Statement:\nAn engine running at 1100 rpm drives a line shaft by means of a belt. The engine pulley has a 9 in. diameter and 25 hp has to be transmitted. The coefficient of friction y between the belt and pulley material is 0.25. Determine, whether the belt slip is possible for the following angles of contact:... | {
"stem_1316": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The belt will slip at both 150° and 100°.",
"opt_B": "The belt slip is independent of the angle of contact.",
"opt_C": "The belt will not slip at 150°... |
"Problem Statement:\nCalculate the molecular translational partition functions in a volume of 1 cm^3 at 298 °K for the following molecules a) H_2,b) CH_4,c) C_8H_18." | {
"stem_1317": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "H_2: 3.750 × 10^24, CH_4: 7.175 × 10^25, C_8H_18: 1.573 × 10^27",
"opt_B": "H_2: 3.550 × 10^24, CH_4: 6.775 × 10^25, C_8H_18: 2.073 × 10^27",
"opt_C":... |
"Problem Statement:\nA car tyre (i.e. an automobile tire) was inflated to a pressure of $24 \\mathrm{lb} \\mathrm{in}^{-2}$ $(1.00 \\mathrm{atm}=14.7 \\mathrm{lb} \\mathrm{in}^{-2})$ on a winter's day when the temperature was $-5^{\\circ} \\mathrm{C}$. What pressure will be found, assuming no leaks have occurred and th... | {
"stem_1318": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "35$\\mathrm{lb} \\mathrm{in}^{-2}$",
"opt_B": "32$\\mathrm{lb} \\mathrm{in}^{-2}$",
"opt_C": "26$\\mathrm{lb} \\mathrm{in}^{-2}$",
"opt_D": "30$... |
"Problem Statement:\nThe solid angle subtended by an area of 2400 cm^2 on the surface of a sphere of diameter 1.2 m is" | {
"stem_1319": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3 / 4.",
"opt_B": "2 / 5.",
"opt_C": "1 / 2.",
"opt_D": "1 / 3.",
"opt_E": "1 / 5.",
"opt_F": "1 / 4.",
"opt_G": "2 / 3.",
... |
"Problem Statement:\nEvaluate the Laplace inverse of F(s) = [(5s 2 - 15s + 7) / {(s + 1)(s - 2)^3}]" | {
"stem_1320": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- e^-t - e^2t + 2te^2t - (t^2 / 2)e^2t",
"opt_B": "e^-t - 2e^2t + 3te^2t - (t^3 / 6)e^2t",
"opt_C": "-e^-t + 3e^2t - t^2e^2t",
"opt_D": "-e^-t +... |
"Problem Statement:\nThe reaction C_2H_4O \\rightarrowCH_4 + CO is a first-order reaction with a specific rate constant of .0123 min^-1 at 415°C. Calculate the percent of original C_2H_4O present that will be decomposed after heating at 415°C for 1 hour." | {
"stem_1321": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "52.1%",
"opt_B": "55.5%",
"opt_C": "47.9%",
"opt_D": "30%",
"opt_E": "60%",
"opt_F": "63.2%",
"opt_G": "69.7%",
"opt_H":... |
"Problem Statement:\nGiven that the joint density function of X and Y is f(x, y) = 6x^2ywhere 0 < x < 1 and 0 < y < 1, = 0elsewhere, find Pr[0 < x < (3/4), (1/3) < y < 2]." | {
"stem_1322": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3/4",
"opt_B": "2/3",
"opt_C": "1/4",
"opt_D": "5/8",
"opt_E": "7/8",
"opt_F": "1/8",
"opt_G": "1/2",
"opt_H": "3/8",
... |
"Problem Statement:\nA certain 110-volt shunt generator has an armature and brush resistance of 0.06 ohm at full load of 85 amperes. The resistance of the shunt field is 45 ohms, and the stray power losses are found to be 897 watts. Calculate the full-load efficiency of the generator." | {
"stem_1323": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "80 percent",
"opt_B": "78.4 percent",
"opt_C": "95.7 percent",
"opt_D": "82.3 percent",
"opt_E": "69.8 percent",
"opt_F": "85.2 perc... |
"Problem Statement:\nIn an experiment involving the toss of two dice, what is the probability that the sum is 6 or 7?" | {
"stem_1324": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5/36",
"opt_B": "3/12",
"opt_C": "6/36",
"opt_D": "1/6",
"opt_E": "17/36",
"opt_F": "7/36",
"opt_G": "13/36",
"opt_H": "... |
"Problem Statement:\nCalculate the percentage of the total wet weight of a hepatocyte that is contributed by the cell membrane. Assume the hepatocyte to be a cube 20\\mu on an edge and that the membrane is 90 \\AA thick and that its specific gravity, as well as that of the entire cell,is 1.0." | {
"stem_1325": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".25%",
"opt_B": ".50%",
"opt_C": ".45%",
"opt_D": ".30%",
"opt_E": ".27%",
"opt_F": ".18%",
"opt_G": ".12%",
"opt_H": ".... |
"Problem Statement:\nThe plates of a parallel-plate capacitor are separated by a dielectric whose relative permittivity varies continuously with thickness as follows \\epsilon_r= [1 / {1 - {x^2 / (3d^2)}}] Compute the capacitance." | {
"stem_1326": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(7/5) {(\\epsilon_va) / (2d)} Farad",
"opt_B": "(9/8) {(\\epsilon_va) + d} Farad",
"opt_C": "(8/9) {(\\epsilon_va) \\cdot d} Farad",
"opt_D": "(... |
"Problem Statement:\n2,300-volt 60-cycle power transformer. r_1 = 1.28 ohmsr_2 = 0.0467 ohm x_1= 4.24 ohmsx_2 = 0.162 ohm When this transformer is operated at no load, with 2,300 volts at 60 cycles impressed on its low-voltage winding, the current and power are I_n = 3.57 amp and P_n= 2,140 watts. When the high-voltage... | {
"stem_1327": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "97.8 per cent",
"opt_B": "99.5 per cent",
"opt_C": "96.7 per cent",
"opt_D": "95.0 per cent",
"opt_E": "95.5 per cent",
"opt_F": "99... |
"Problem Statement:\nThe reaction A + 2B \\rightarrow products was studied kinetically and the following data was obtained. Experiment [A] (moles/liter) [B] (moles/liter) Rate(mole/liter - sec) 1 2.0 × 10^-3 4.0 × 10^-3 5.7 × 10^-7 2 2.0 × 10^-3 8.0 × 10^-3 11.4 × 10^-7 3 4.0 × 10^-3 4.0 × 10^-3 22.8 × 10^-7 Determine ... | {
"stem_1328": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "rate = k [A]^3 [B]^2",
"opt_B": "rate = k [A] [B]^2",
"opt_C": "rate = k [A]^3 [B]^3",
"opt_D": "rate = k [A]^1/2 [B]",
"opt_E": "rate = k... |
"Problem Statement:\nA (1/5) in. I.D. tube is at a constant temperature of 90°F. Water with a mean temperature of 55°F and a mean velocity of 1.5 ft/sec is pumped through this heated tube. Calcu-late the mean heat transfer coefficient for the first 4 ft. of the tube." | {
"stem_1329": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "160 Btu/hr-ft^2-°F",
"opt_B": "120 Btu/hr-ft^2-°F",
"opt_C": "150 Btu/hr-ft^2-°F",
"opt_D": "145 Btu/hr-ft^2-°F",
"opt_E": "139 Btu/hr-ft^... |
"Problem Statement:\nModel studies of a sea wall are conducted at a scale of 1 : 25. If the wave period in the prototype is 10 sec, what should be the period of wave generation in the model to insure similarity? To what prototype force per foot of wall would a model wave force of 12 lb/ft correspond?" | {
"stem_1330": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2 sec, 7500 lb/ft",
"opt_B": "1 sec, 8500 lb/ft",
"opt_C": "3 sec, 6500 lb/ft",
"opt_D": "1 sec, 5000 lb/ft",
"opt_E": "2.8 sec, 9500 lb/f... |
"Problem Statement:\nWhat is the work involved if a gas in a 2.0-liter container at 2.4 atmospheres pressure is allowed to expand against a pressure of 0.80 atmosphere?" | {
"stem_1331": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-4.8 L atm",
"opt_B": "+9.62 L atm",
"opt_C": "-6.4 L atm",
"opt_D": "+3.2 L atm",
"opt_E": "-3.2 L atm",
"opt_F": "-14.4 L atm",
... |
"Problem Statement:\nCalculate the internal efficiency and reheat factor for a three-stage turbine operating between an initial pressure of 100 psia, saturated steam, and a final pressure of 1 psia. Assume that the approach velocity is negligible, the stage efficiency is 65 percent and the process is isentropic." | {
"stem_1332": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Efficiency = 0.725, Reheat factor = 1.085",
"opt_B": "Efficiency = 0.70, Reheat factor = 1.00",
"opt_C": "Efficiency = 0.65, Reheat factor = 1.675",
... |
"Problem Statement:\nA diving bell has an air space of $3.0 \\mathrm{m}^3$ when on the deck of a boat. What is the volume of the air space when the bell has been lowered to a depth of $50 \\mathrm{m}$? Take the mean density of sea water to be $1.025 \\mathrm{g} \\mathrm{cm}^{-3}$ and assume that the temperature is the ... | {
"stem_1333": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.8 $\\text{m}^3$",
"opt_B": "2.0 $\\text{m}^3$",
"opt_C": "2.8 $\\text{m}^3$",
"opt_D": "3.5 $\\text{m}^3$",
"opt_E": "4.0 $\\text{m}^3$"... |
"Problem Statement:\n(1) Cu(NH_3)^2_4^+ \\rightleftarrows Cu^2+ + 4NH_3k = 1.0 × 10^-12 (2) Co(NH_3)^2_6^+ \\rightleftarrows Co^2+ + 6NH_3k = 4.0 × 10^-5 (3) Co(NH_3)^3_6^+ \\rightleftarrows Co^3+ + 6NH_3k = 6.3 × 10^-36 (4) Ag(NH_3)^+_2 \\rightleftarrows Ag^+ + 2NH_3k = 6.0 × 10^-8. Arrange them in order of increasing... | {
"stem_1334": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Ag^+, Co^2+, Co^3+, Cu^2+",
"opt_B": "Cu^2+, Co^2+, Ag^+, Co^3+",
"opt_C": "Co^2+, Ag^+, Cu^2+, Co^3+",
"opt_D": "Co^3+, Co^2+, Ag^+, Cu^2+",
... |
"Problem Statement:\nA single phase one pulse controlled circuit has a resistance R and counter emf E load 400 sin(314 t) as the source voltage. For a load counter emf of 200 V, the range of firing angle control is" | {
"stem_1335": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "60° to 180°.",
"opt_B": "90° to 150°.",
"opt_C": "60° to 150°.",
"opt_D": "30° to 120°.",
"opt_E": "30° to 180°.",
"opt_F": "30° to ... |
"Problem Statement:\nA thermodynamic study of $\\mathrm{DyCl}_3$ (E.H.P. Cordfunke, et al., J. Chem. Thermodynamics 28, 1387 (1996)) determined its standard enthalpy of formation from the following information\n(1) $\\mathrm{DyCl}_3(\\mathrm{~s}) \\rightarrow \\mathrm{DyCl}_3(\\mathrm{aq}$, in $4.0 \\mathrm{M} \\mathrm... | {
"stem_1336": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-750.6 $\\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
"opt_B": "-600.2 kJ mol−1",
"opt_C": "-878.2 $\\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
"opt_D": "-1048.... |
"Problem Statement:\nFor the dissociation reaction cl_2(g) > 2Cl(g) at 1200 °K, calculate the equilibrium constant Kp by statistical thermodynamics. The equilibrium internuclear distance is 0.199 nm, the fundamental vibration frequency of Cl_2 is atѵ= 565 cm^-1, and the energy of dissociation of Cl_2 is 2.48 eV." | {
"stem_1337": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.10 × 10^-4",
"opt_B": "6.89 × 10^-6",
"opt_C": "8.97 × 10^-5",
"opt_D": "1.23 × 10^-5",
"opt_E": "3.67 × 10^-5",
"opt_F": "7.31 × ... |
"Problem Statement:\nWhat is the explanation for the following trends inlattice energies ? NaF - 260 Kcal / moleNaCl- 186 Kcal / mole NaCl - 186 Kcal / moleKCl- 169 Kcal / mole NaBr - 177 Kcal / moleCsCl- 156 Kcal / mole" | {
"stem_1338": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The lattice energy is solely determined by the electron configuration of the ions",
"opt_B": "The lattice energy is not affected by the size of the ions",
... |
"Problem Statement:\nConsider an air stream flowing over a smooth solid naphthalene plate with a velocity of 116 ft/sec at points far away from the surface of the plate. The air stream pressure is 1 atm. and the temperature of the system is 115°F. Assume the influence of non-unity Schmidt number is negligible. Assuming... | {
"stem_1339": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "375 ft/hr, 0.126 lb/hr, 308 ft/hr, -0.2530 lb/ft^4",
"opt_B": "410 ft/hr, 0.129 lb/hr, 300 ft/hr, -0.2680 lb/ft^4",
"opt_C": "400 ft/hr, 0.140 lb/hr, ... |
"Problem Statement:\nA cooling system is designed to maintain a refrigerator at - 25°C in a room at ambient temperature + 25°C. The heat transfer into the refrigerator is estimatedas10^4 J min^-1. If the unit is assumed to operate at 50% of its maximum thermodynamic efficiency, estimate its power requirement." | {
"stem_1340": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "50 watts",
"opt_B": "90 watts",
"opt_C": "25 watts",
"opt_D": "120 watts",
"opt_E": "100 watts",
"opt_F": "200 watts",
"opt_G"... |
"Problem Statement:\nDerive an expression for the power required to mix a liquid if itdepends on the density \\rho and viscosity \\mu of the liquid, the diameterof the mixer D, the rotational speed of the mixer N, andthe acceleration due to gravity g." | {
"stem_1341": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "N_p=f(\\mu, g)",
"opt_B": "P = f(\\rho, N, D)",
"opt_C": "P=f(\\mu, N)",
"opt_D": "P=f(Re, D)",
"opt_E": "N_p = f(\\rho, \\mu, D, g)",
... |
"Problem Statement:\nThe protein human plasma, albumin, has a molecular weight of 69,000. Calculate the osmotic pressure of a solution of this protein containing 2 g per 100 cm^3 at 25°C in (a) Torr and (b) millimeters of water. The ex-periment is carried out using a salt solution for solvent and a membrane permeable t... | {
"stem_1342": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 2.79 Torr, (b) 38.0 mm H2O",
"opt_B": "(a) 9.01 Torr, (b) 122.3 mm H2O",
"opt_C": "(a) 7.08 Torr, (b) 69.0 mm H_2O",
"opt_D": "(a) 5.38 Torr... |
"Problem Statement:\nOne of the two most common ingredients in medication designed for the relief of excess stomach acidity is aluminum hydroxide (Al (OH)_3, formula weight = 78 g/mole). If a patient suffering from a duodenal ulcer displays a hydrochloric acid (HCI, formula weight = 36.5 g/mole), concentration of 80 × ... | {
"stem_1343": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "240 ml",
"opt_B": "750 ml",
"opt_C": "120 ml",
"opt_D": "420 ml",
"opt_E": "180 ml",
"opt_F": "540 ml",
"opt_G": "360 ml",
... |
"Problem Statement:\nA wet bulb thermometer is showing15.55°C when dry airat atmosphericpressure is blowing across the thermometer. Estimate the dry air temperature." | {
"stem_1344": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15.55°C",
"opt_B": "55.85°C",
"opt_C": "18.00°C",
"opt_D": "45.75°C",
"opt_E": "25.00°C"
},
"label": "opt_D"
}
} |
"Problem Statement:\nAt a frequency of 4000 kilocycles a parallel-wire transmission line has the following parameters: R = 0.025 ohm/m, L = 2 \\muh/m, G = 0, C = 5.56 \\mu\\muf/m. The line is 100 meters long, terminated in a resistance of 300 ohms. Find the efficiency of transmission, defined as the ratio of the power ... | {
"stem_1345": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "94.2%",
"opt_B": "90%",
"opt_C": "91.1%",
"opt_D": "95%",
"opt_E": "98%",
"opt_F": "93.7%",
"opt_G": "99.5%",
"opt_H": "... |
"Problem Statement:\nCalculate the pressure exerted by $1.0 \\mathrm{~mol} \\mathrm{Xe}$ when it is confined to $1.0 \\mathrm{dm}^3$ at $25^{\\circ} \\mathrm{C}$." | {
"stem_1346": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "21$\\mathrm{atm}$ ",
"opt_B": "28 $\\mathrm{atm}$",
"opt_C": "30 $\\mathrm{atm}$",
"opt_D": "12 $\\mathrm{atm}$",
"opt_E": "18 $\\mathrm{a... |
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