state unknown | questions unknown |
|---|---|
"Problem Statement:\n2.3 g of ethanol (C_2H_5OH, molecular weight = 46 g/mole) is added to 500 g of water. Determine the molality of the resulting solution." | {
"stem_309": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.12 molal",
"opt_B": "0.05 molal",
"opt_C": "0.4 molal",
"opt_D": "0.2 molal",
"opt_E": "0.1 molal",
"opt_F": "0.5 molal",
"op... |
"Problem Statement:\nCalculate the internal energy change for the reaction Cl_2(g) + (7/2)O_2(g) = Cl_2O_7(g) at 25°C, given that the gases are ideal. The enthalpy, \\DeltaH, for the formation of Cl_2O_7(g) is 63.4 kcal mol^-1 at 25°C." | {
"stem_310": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "300 kJ",
"opt_B": "265.26 kJ",
"opt_C": "180 kJ",
"opt_D": "290 kJ",
"opt_E": "220 kJ",
"opt_F": "350 kJ",
"opt_G": "150.5 kJ",... |
"Problem Statement:\nTwo identical blocks of aluminum are initially at 1300°K and 400°K respectively. The two blocks are then brought into thermal communication and they attain the same temperature. Assuming that the specific heat of aluminum is 0.9 kJ/kg - °K, calculate the irreversibility of the process if the mass o... | {
"stem_311": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "441.1 kJ",
"opt_B": "750 kJ",
"opt_C": "620 kJ",
"opt_D": "399.9 kJ",
"opt_E": "320.5 kJ",
"opt_F": "275 kJ",
"opt_G": "367.5 k... |
"Problem Statement:\nThe mass density of water vapour at $327.6 \\mathrm{~atm}$ and $776.4 \\mathrm{~K}$ is $133.2 \\mathrm{~kg} \\mathrm{~m}^{-3}$. Given that for water $T_{\\mathrm{c}}=647.4 \\mathrm{~K}, p_{\\mathrm{c}}=218.3 \\mathrm{~atm}, a=5.464 \\mathrm{dm}^6 \\mathrm{~atm} \\mathrm{~mol}^{-2}$, $b=0.03049 \\ma... | {
"stem_312": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.4672",
"opt_B": "0.3405",
"opt_C": "0.5584",
"opt_D": "0.7823",
"opt_E": "0.6957",
"opt_F": "0.6219",
"opt_G": "0.7331",
... |
"Problem Statement:\nA box which tells the effect of inputs on control sub system is known as" | {
"stem_313": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Process box.",
"opt_B": "State box.",
"opt_C": "Input box.",
"opt_D": "System box.",
"opt_E": "Data Box.",
"opt_F": "Control box.",
... |
"Problem Statement:\nThe densities of air at $-85^{\\circ} \\mathrm{C}, 0^{\\circ} \\mathrm{C}$, and $100^{\\circ} \\mathrm{C}$ are $1.877 \\mathrm{~g} \\mathrm{dm}^{-3}, 1.294 \\mathrm{~g}$ $\\mathrm{dm}^{-3}$, and $0.946 \\mathrm{~g} \\mathrm{dm}^{-3}$, respectively. From these data, and assuming that air obeys Charl... | {
"stem_314": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-325$^{\\circ} \\mathrm{C}$",
"opt_B": "-400$^{\\circ} \\mathrm{C}$",
"opt_C": "-200$^{\\circ} \\mathrm{C}$",
"opt_D": "-250$^{\\circ} \\mathrm{C... |
"Problem Statement:\nNucleate boiling occurs on a surface at temperature 242°F. If the substance is water, find (a) the maximum heat flux per unit area, and (b) the coefficient of heat transfer." | {
"stem_315": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Maximum heat flux: 250,000 Btu/hr-ft^2, Coefficient of heat transfer: 8,000 Btu/hr-ft^2-°F",
"opt_B": "Maximum heat flux: 420,000 Btu/hr-ft^2, Coefficient of... |
"Problem Statement:\nFind the increase in heat exchange between two infinite black parallel plates initially at 100°F and 200°F respectively, when the temperature difference is increased by raising the temperature of the second plate to 400°F. Assume \\sigma = 0.1714 × 10^-8 Btu/hr-ft^2-°R^4." | {
"stem_316": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1100 Btu/hr-ft^2",
"opt_B": "930 Btu/hr-ft^2",
"opt_C": "289 Btu/hr-ft^2",
"opt_D": "482 Btu/hr-ft^2",
"opt_E": "345 Btu/hr-ft^2",
"o... |
"Problem Statement:\nA mixture consisting only of KOH and Ca(OH)_2 is neutralized by acid. If it takes exactly 0.100 equivalents to neutral-ize 4.221 g of the mixture, what must have been its initial composition by weight?" | {
"stem_317": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.7 g-KOH and 2.521 g Ca(OH)_2",
"opt_B": "1.5 g-KOH and 2.5 g Ca(OH)_2",
"opt_C": "1.52 g-KOH and 2,701 g Ca(OH)_2",
"opt_D": "2.1 g-KOH and 2.1... |
"Problem Statement:\nA solid sphere of naphthalene (A) with a radius of 2.5 mm is surroundedby still air (B) at 300 K and 1 atm. Take the surfacetemperature of the naphthalene as 300°K and its vaporpressure at this temperature as 0.104 mm Hg. The diffusivityofnapthalenein air at 318°K is 6.92 × 10^-6 m^2 / sec.Determin... | {
"stem_318": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.22 × 10^-8kgmol/ m^2-sec",
"opt_B": "1.67 × 10^-8 kgmol/ m^2-sec",
"opt_C": "1.75 × 10^-8 kgmol/ m^2-sec",
"opt_D": "1.41 × 10^-8kgmol/ m^2-sec... |
"Problem Statement:\nA Lissajous pattern on an oscilloscope has 5 horinzontal tangencies and 2 vertical tangencies. The frequency of horizontal input is 100 Hz. The frequency of the vertical will be" | {
"stem_319": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "750 Hz.",
"opt_B": "250 Hz.",
"opt_C": "625 Hz.",
"opt_D": "500 Hz.",
"opt_E": "800 Hz.",
"opt_F": "400 Hz.",
"opt_G": "200 Hz.... |
"Problem Statement:\nFind the partial-fraction expansion of F(s) = [(8s + 2) / (s^2 + 3s + 2)]" | {
"stem_320": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "F(s) = [(-2) / (s + 1)] + [(-8) / (s + 2)]",
"opt_B": "F(s) = [(8) / (s + 1)] + [(- 10) / (s + 2)]",
"opt_C": "F(s) = [(8) / (s + 2)] + [(2) / (s + 1)]... |
"Problem Statement:\nCalculate the approximate molar weight of 35.0 grams of a non--electrolyte in solution with 100mlwater. The boiling point of the solution is 102.16 C." | {
"stem_321": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100 g solute / mole solute",
"opt_B": "95 g solute / mole solute",
"opt_C": "130 g solute / mole solute",
"opt_D": "120 g solute / mole solute",
... |
"Problem Statement:\nAt a constant pressure and a temperature of - 10°C, water freezes. Calculate the heat evolved in the process. H_2O(l) = H_2O (s) Given the following: \\DeltaH_273 = - 79.7 cal g^-1 CP, -(H)2 O (l)= 1.00 cal K^-1 g^-1 and CP, (H)2 O(s)= 0.49 cal K^-1g^-1" | {
"stem_322": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 70.4 cal g^-1",
"opt_B": "- 73.1 cal g^-1",
"opt_C": "- 79.7 cal g^-1",
"opt_D": "- 80.2 cal g^-1",
"opt_E": "- 77.9 cal g^-1",
"op... |
"Problem Statement:\nCalculate C_P - C_V for water at 40°C given that the coefficient of thermal expansion of water is 385.30 × 10^-6 K^-1, and the com-pressibility is 44.82 × 10^-6atm^-1. The density of water is .9922187 × 10^3 kg m^-3." | {
"stem_323": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.905 J mol^-1K^-1",
"opt_B": "3.85 × 10^-4 m^3atm mol^-1K^-1",
"opt_C": "5.30 × 10^-4 m^3atm mol^-1K^-1",
"opt_D": "1.992 × 10^-3 J mol^-1K^-1",... |
"Problem Statement:\nFind the current through a 0.01 \\muF capacitor at t = 0 if the voltage across it is (a) 2 sin 2\\pi 10^6t V; (b) - 2e^-(10)7 t V; (c) - 2e-(10)7 tsin 2\\pi 10^6t V." | {
"stem_324": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.1256 A, 0.2 A, 0.1256 A",
"opt_B": "0.1256 A, 0.3 A, 0.1256 A",
"opt_C": "0.2345 A, 0.1 A, - 0.4567 A",
"opt_D": "0.2 A, 0.1 A, 0.2 A",
"... |
"Problem Statement:\nWhich of the following is expected to have two or more resonance structures?" | {
"stem_325": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "CH4",
"opt_B": "NH3",
"opt_C": "CCl2F2",
"opt_D": "H2O",
"opt_E": "SF6",
"opt_F": "PF5",
"opt_G": "BeCl2",
"opt_H": "SO3"... |
"Problem Statement:\nA 5-hp, 120-volt shunt motor has an armature resistance of 0.10 ohm, and a full-load armature current of 40 amp. Determine the value of the series resistance to add to the armature to limit the initial starting current to 150% of normal." | {
"stem_326": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.0 ohms",
"opt_B": "3.0 ohms",
"opt_C": "1.0 ohms",
"opt_D": "2.5 ohms",
"opt_E": "1.866 ohms",
"opt_F": "2.2 ohms",
"opt_G": ... |
"Problem Statement:\nA plane 1,000 Mc/sec traveling wave in air with peak electric field intensity of 1 volt/meter is incident normally on a large copper sheet. Find the average power absorbed by the sheet per square meter of area." | {
"stem_328": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.16 × 10^-7 watt/meter^2",
"opt_B": "2.32 × 10^-7 watt/meter^2",
"opt_C": "9.65 × 10^-7 watt/meter^2",
"opt_D": "5.80 × 10^-8 watt/meter^2",
... |
"Problem Statement:\nA 34 kg steel casting at a temperature of 427°C is quenched in136 kg of oil initially at 21°C. Assuming no heat losses and thesteel casting and oil to have constant specific heats of 0.5024and2.5121 kJ/kg-°K respectively, determine the - changein entropy for a system consisting of the oil and casti... | {
"stem_329": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11.99 kJ/°K",
"opt_B": "13.99 kJ/°K",
"opt_C": "6.99 kJ/°K",
"opt_D": "10.99 kJ/°K",
"opt_E": "5.99 kJ/°K",
"opt_F": "9.99 kJ/°K",
... |
"Problem Statement:\nCalculate the change in Gibbs energy of $35 \\mathrm{~g}$ of ethanol (mass density $0.789 \\mathrm{~g} \\mathrm{~cm}^{-3}$ ) when the pressure is increased isothermally from 1 atm to 3000 atm." | {
"stem_330": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25 $\\mathrm{kJ}$",
"opt_B": "18 $\\mathrm{~kJ}$",
"opt_C": "20 $\\mathrm{kJ}$",
"opt_D": "15 $\\mathrm{~kJ}$",
"opt_E": "12 $\\mathrm{~kJ}... |
"Problem Statement:\nAn AM signal is transmitted through an antenna. The magnitudeof the antenna current is 15A when an unmodulatedsignal is transmitted and, it increases to 17A fora modulated signal. Determine the percentage modulation ." | {
"stem_331": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100%",
"opt_B": "60%",
"opt_C": "75%",
"opt_D": "25%",
"opt_E": "50%",
"opt_F": "30%",
"opt_G": "20%",
"opt_H": "40%",
... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Note that 1 atm = 1.013 25 bar. Unless otherwise stated, thermochemical data are for 298.15 K. A sample consisting of $2.0 \\mathrm{~mol} \\mathrm{CO}_2$ occupies a fixed volume of $15.0 \\mathrm{dm}^3$ at $300 \\mathrm{~K}$. When it is supplied... | {
"stem_332": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-0.59 kJ",
"opt_B": "+0.75 kJ",
"opt_C": "0",
"opt_D": "-1.17 kJ",
"opt_E": "+0.59 kJ",
"opt_F": "+3.00 kJ",
"opt_G": "-3.00 kJ... |
"Problem Statement:\nIn a single throw of a single die, find the probability of obtaining either a 2 or a 5." | {
"stem_333": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1/2",
"opt_B": "2/3",
"opt_C": "1/6",
"opt_D": "3/8",
"opt_E": "1/3",
"opt_F": "3/6",
"opt_G": "4/6",
"opt_H": "5/6",
... |
"Problem Statement:\nThrough several successive reactions, a chemist uses carbon,CaO,HCland H_2 O to produce C_6 H_4, Cl_2. Assuming an efficiency of 65 %, how much C_6 H_4 Cl_2 can be produced from 500 grams of carbon? Assume that 1/3 of the carbon is lost as 3 moles CO." | {
"stem_334": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "588 grams",
"opt_B": "275 grams",
"opt_C": "442 grams",
"opt_D": "510 grams",
"opt_E": "225 grams",
"opt_F": "360 grams",
"opt_... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the molar entropy of a constant-volume sample of neon at $500 \\mathrm{~K}$ given that it is $146.22 \\mathrm{~J} \\mathrm{~K}^{-1} \\mathrm{~mol}^{-1}$ at $298 \\mathrm{~K}$." | {
"stem_335": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "142.55$\\mathrm{J} \\mathrm{K}^{-1} \\mathrm{~mol}^{-1}$",
"opt_B": "157.89$\\mathrm{J} \\mathrm{K}^{-1} \\mathrm{~mol}^{-1}$",
"opt_C": "162.33$\\math... |
"Problem Statement:\n(i) A 1000 kVA, 4600 V, three-phase, wye-connected alternator has an armature resistance of 2 ohms per phase and a synchronous armature reactance, X_s, of 20 ohms per phase. Find the full-load generated voltage per phase at: (a) Unity power factor (b) A power factor of 0.75 lagging (ii) Repeat part... | {
"stem_336": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3600 V/phase, 4600 V/phase, 2200 V/phase, 1200 V/phase",
"opt_B": "3950 V/phase, 4950 V/phase, 2450 V/phase, 1450 V/phase",
"opt_C": "3845 V/phase, 482... |
"Problem Statement:\nA 0.2 m^3 container holds oxygen at 70°C and 25 bars. Calculate the amount of oxygen in the container if the atmospheric pressure is 1 bar." | {
"stem_337": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.234 kg",
"opt_B": "4.8354 kg",
"opt_C": "5.234 kg",
"opt_D": "5.8354 kg",
"opt_E": "6.234 kg",
"opt_F": "7.8354 kg",
"opt_G":... |
"Problem Statement:\nConsider the electrochemical reaction Cd + 2H^+ \\rightarrow Cd^+2 + H_2 If all the reactants are in the standard state and \\DeltaG_25°C = -18.57 [(kcal) / (mole)] for Cd^+2, calculate the cell potential. Is the reaction spontaneous as written?" | {
"stem_338": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".303V, non-spontaneous",
"opt_B": ".603V, non-spontaneous",
"opt_C": ".203V, spontaneous",
"opt_D": ".703V, non-spontaneous",
"opt_E": ".40... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Consider a system consisting of $2.0 \\mathrm{~mol} \\mathrm{CO}_2(\\mathrm{~g})$, initially at $25^{\\circ} \\mathrm{C}$ and $10 \\mathrm{~atm}$ and confined to a cylinder of cross-section $10.0 \\mathrm{~cm... | {
"stem_339": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+0.30$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_B": "+0.90$\\mathrm{J} \\mathrm{K} \\mathrm{K}^{-1}$",
"opt_C": "+0.60$\\mathrm{J} \\mathrm{K} \\mathrm{K}^{... |
"Problem Statement:\nThe number of allowed energy levels for the 55Mn nuclide are:" | {
"stem_340": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7",
"opt_B": "5",
"opt_C": "8",
"opt_D": "10",
"opt_E": "4",
"opt_F": "1",
"opt_G": "6",
"opt_H": "9",
"opt_I": "3"... |
"Problem Statement:\nA lab technician prepared a calcium hydroxide solution by dissolving 1.48 g of Ca(OH)_2 in water. How many milliliters of 0.125 N HCI solution would be required to neutralize this calcium hydroxide solution?" | {
"stem_341": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "160 ml",
"opt_B": "400 ml",
"opt_C": "240 ml",
"opt_D": "640 ml",
"opt_E": "200 ml",
"opt_F": "560 ml",
"opt_G": "360 ml",
... |
"Problem Statement:\n2 moles of an ideal gas are expanded reversibly and isothermally at 0°C from 1 atm. Calculate the final volume occupied by the gas if the heat absorbed during the pro-cess is 1 = 750 cal." | {
"stem_342": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "84.4 liters",
"opt_B": "44.8 liters",
"opt_C": "60 liters",
"opt_D": "50 liters",
"opt_E": "110 liters",
"opt_F": "100 liters",
... |
"Problem Statement:\nAt 9 GHz the inside dimensions of the standard waveguide usedin practice are 0.9 by 0.4 in. Find the maximum power thatcan be transmitted in the TE mode, assuming that the airdielectric will break down when the electric field intensity exceeds3 × 10 (V/m)." | {
"stem_343": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.2 × 10^6 W",
"opt_B": "0.65 × 10^6 W",
"opt_C": "1.05 × 10^6 W",
"opt_D": "0.5 × 10^6 W",
"opt_E": "1.0 × 10^6 W",
"opt_F": "0.944 ... |
"Problem Statement:\nWhat is the maximum air velocity that will not exceed a 2°F temperature rise at a stagnation point ? Assume air at 70°F and 14.7psia. TABLE Gas Chemical Formula Specific Weight, \\gamma Density, \\rho Gas Constant, R Adiabatic Constant, k lb/ft^3 N/m^3 slugs/ft^3 kg/m^3 ft/°R m/°K Air --- 0.0753 11... | {
"stem_344": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "225 ft/s",
"opt_B": "250 ft/s",
"opt_C": "100 ft/s",
"opt_D": "200 ft/s",
"opt_E": "153 ft/s",
"opt_F": "300 ft/s",
"opt_G": "5... |
"Problem Statement:\nAn automobile battery is able to deliver 5.2 MJ of electrical energy to start a car. Suppose compressed air at 7MPa, 25°C were to be used for doing the same work. What will be the volume of the tank required in order for the compressed air to have an availability of 5.2 MJ?" | {
"stem_345": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.2276 m^3",
"opt_B": "0.1500 m³",
"opt_C": "0.3500 m³",
"opt_D": "0.2567 m^3",
"opt_E": "0.1750 m³",
"opt_F": "0.4000 m³",
"op... |
"Problem Statement:\nFor the cell H_2(1 atm) \\vertHCl\\vertAgCl\\vertAg, E° = 0.2220 V at 298 K. If the measured E = 0.396 V, what is the pH of the HCl solution? Cite any approximations made." | {
"stem_346": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.47",
"opt_B": "1.47",
"opt_C": "3.47",
"opt_D": "0.74",
"opt_E": "2.74",
"opt_F": "1.75",
"opt_G": "0.47",
"opt_H": "3.... |
"Problem Statement:\nA steel helical spring of index 10 has 12 active coils. The spring is made of oil-tempered no. 7 gauge wire. Determine the fundamental frequency of the spring if (1) one end is fixed and one end is free. (2) both ends are fixed. For the first case, check for the safety of the spring against failure... | {
"stem_347": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "29 cycles/sec and 58 cycles/sec",
"opt_B": "28 cycles/sec and 56 cycles/sec",
"opt_C": "31 cycles/sec and 62 cycles/sec",
"opt_D": "34 cycles/sec... |
"Problem Statement:\nOctane burns in theoretical air (21% O_2, 79% N_2) by the followingcombustion equation: C_8H_18 + 12.5O_2 + 12.5(3.76)N_2= 8CO_2 + 9H_2O + 47N_2 What is the theoretical air-fuel ratio?" | {
"stem_348": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.7g air/g fuel",
"opt_B": "15.1g air/g fuel",
"opt_C": "13.4g air/g fuel",
"opt_D": "20.3g air/g fuel",
"opt_E": "28.96g air/g fuel",
... |
"Problem Statement:\nA supersonic wind-tunnel consists of a large reservoir containing gas under high pressure which is discharged through a convergent-divergent nozzle to a test section of constant cross-sectional area. The cross-sectional area of the throat of the nozzle is 500 mm^2 and the Mach number in the test se... | {
"stem_349": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4000 mm^2",
"opt_B": "4900 mm^2",
"opt_C": "7500 mm^2",
"opt_D": "5000 mm^2",
"opt_E": "3500 mm^2",
"opt_F": "4500 mm^2",
"opt_... |
"Problem Statement:\nA steel spindle of length 4 ft. used in a textile industry, is required to be designed such that it can transmit 10 hp at 600 rpm. The maximum allowable angular deflection is 0.1°/ft. of the spindle. Calculate the standard safe diameter of the spindle and hence the shear stress developed. Modulus o... | {
"stem_350": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.8 in, 350 lbs/in^2",
"opt_B": "2.2 in, 390 lbs/in^2",
"opt_C": "1.8 in, 420 lbs/in^2",
"opt_D": "2.4 in, 386.8 lbs/in^2",
"opt_E": "2.0 i... |
"Problem Statement:\nWater at 30°C has a vapor pressure of 31.82 mm Hg. When 25.0 g of ethylene glycol is added to 1000 g of water, the vapor pressure is lowered to 31.59 mm Hg. Determine the molecular weight of ethylene glycol." | {
"stem_351": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "62",
"opt_B": "70",
"opt_C": "74",
"opt_D": "58",
"opt_E": "56",
"opt_F": "60",
"opt_G": "72",
"opt_H": "68",
"opt_... |
"Problem Statement:\nThe frequency range of a commercially broadcast FM signal is 88 to 108 MHz, with carrier swing of 125 kHz. Find the percentage modulation of the signal." | {
"stem_352": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "110%",
"opt_B": "125%",
"opt_C": "50%",
"opt_D": "62.5%",
"opt_E": "75%",
"opt_F": "83.3%",
"opt_G": "93.8%",
"opt_H": "5... |
"Problem Statement:\nA container weighs 3.22 lb force when empty. Filled with waterat 60°F the mass of the container and its contents is 1.95 slugs.Find the weight of the water in the container and itsvolume in cubic feet. Assume density of water= 62.4 lb force/ft^3." | {
"stem_353": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "40.1 lb force, 0.643 ft^3",
"opt_B": "32.2 lb force, 1 lb ft^3",
"opt_C": "59.57 lb force, 0.955 ft^3",
"opt_D": "3.22 lb force, 62.4 ft^3",
... |
"Problem Statement:\nThe equilibrium pressure of $\\mathrm{O}_2$ over solid silver and silver oxide, $\\mathrm{Ag}_2 \\mathrm{O}$, at $298 \\mathrm{~K}$ is $11.85 \\mathrm{~Pa}$. Calculate the standard Gibbs energy of formation of $\\mathrm{Ag}_2 \\mathrm{O}(\\mathrm{s})$ at $298 \\mathrm{~K}$." | {
"stem_354": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-12.7 $\\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
"opt_B": "-8.4 kJ mol^{-1}",
"opt_C": "-13.9 kJ mol^{-1}",
"opt_D": "-10.8 kJ mol^{-1}",
"opt... |
"Problem Statement:\nUse Fouriertransformmethods to find the time-domain responseof a network having a system function [(j2\\omega) / (1 + 2j\\omega)], ifthe input is V(t) =cost (For asinusodialinputcost, the Fourier transform is \\pi[\\delta (\\omega + 1) + \\delta (\\omega - 1)] )." | {
"stem_355": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(4/5)cost - (2/5) sin t",
"opt_B": "(3/4)cost - (1/4)sint",
"opt_C": "(2/5)cost + (4/5) sin t",
"opt_D": "cost + sint",
"opt_E": "(3/5)cost... |
"Problem Statement:\nAnelectrethas a permanent electric dipole moment in the absenceof free charges. Given anelectretsphere of radius R, with electricpolarisationvectorP= r̂ Po r. Determine the bound charge density \\rho', electric displacementvectorD, and the electric fieldEas functions ofr." | {
"stem_356": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "ρ' = P_0 / 3, D = ε_0r̂P_0, E = r̂(3P_0 / ε_0) for r < R and E(r > R) = r̂(P_0 / ε_0)",
"opt_B": "ρ' = -P_0 / r^2, D = ε_0r̂P_0r, E = -r̂(P_0 / ε_0r^2) for r... |
"Problem Statement:\nA diode (p-n junction) when reverse biased act as" | {
"stem_357": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Amplifier",
"opt_B": "Zener diode",
"opt_C": "Battery",
"opt_D": "Transformer",
"opt_E": "Off Switch",
"opt_F": "Capacitor",
"o... |
"Problem Statement:\nA cylinder which contains 3 pounds of saturated liquid water at a constant pressure of 30 psia is heated until the quality of the mixture is 70 per cent. Calculate: a) the initial temperature, b) the final pressure and temperature, and c) the volume change of the mixture." | {
"stem_358": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a) 255°F, b) 35 psia and 255°F, c) 35 ft³",
"opt_B": "a) 265°F, b) 34 psia and 265°F, c) 33 ft³",
"opt_C": "a) 248°F, b) 40 psia and 248°F, c) 38 ft³",... |
"Problem Statement:\nA particular substance has the following solid, liquid and gas heatcapacities: Solid (for T \\leq 25°K);C_p = 0.8T cal deg^-1 mole^-1 From 25°K \\rightarrow 250°K (melting point); C_p = 0.007T + 0.0006T^2 cal deg^-1 mole^-1 Liquid;C_p = 18 + 0.007T cal deg^-1 mole^-1 Gas @ 1atm(above 360°K which is... | {
"stem_359": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "74.92eu",
"opt_B": "76.05eu",
"opt_C": "75.36eu",
"opt_D": "78.12eu",
"opt_E": "77.46eu",
"opt_F": "72.81eu",
"opt_G": "77.89eu... |
"Problem Statement:\nCalculate the standard E°, electrode potential, of the hydrogen- oxygen fuel cell. The standard Gibbs free energy of formation (∆G^0_f)of H_2O(l) = -56,690 cal/mole." | {
"stem_360": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.458 v",
"opt_B": "0.6145 v",
"opt_C": "2.000 v",
"opt_D": "1.750 v",
"opt_E": "0.819 v",
"opt_F": "1.229 v",
"opt_G": "0.400 ... |
"Problem Statement:\nAssuming that the density of water is .9971 (g / cm^3)at 25°C and that of ice at 0° is .917 (g / cm^3), what percent of a water jug at 25°C should be left empty so that, if the water freezes, it will just fill the jug?" | {
"stem_361": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8 %",
"opt_B": "10 %",
"opt_C": "6%",
"opt_D": "20%",
"opt_E": "18%",
"opt_F": "5 %",
"opt_G": "15 %",
"opt_H": "3%",
... |
"Problem Statement:\n\\rho/P, g/liter-atm 10 11 10 (\\rho = density) P,atm: 1 10 20 The critical pressure of this gas must then be (greater than 10atm, greater than 20atm, between 1 and 20atm, between 1 and 10atm, less than 20atm, can't tell)." | {
"stem_362": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "less than 20 atm",
"opt_B": "greater than 10 atm",
"opt_C": "between 1 and 10 atm",
"opt_D": "exactly 20 atm",
"opt_E": "cannot be determin... |
"Problem Statement:\n In the infrared spectrum of $\\mathrm{H}^{127} \\mathrm{I}$, there is an intense line at $2309 \\mathrm{~cm}^{-1}$. Calculate the force constant of $\\mathrm{H}^{127} \\mathrm{I}$." | {
"stem_363": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "400 $ \\mathrm{~N} \\cdot \\mathrm{m}^{-1}$",
"opt_B": "350 $ \\mathrm{~N} \\cdot \\mathrm{m}^{-1}$",
"opt_C": "250 $ \\mathrm{~N} \\cdot \\mathrm{m}^{... |
"Problem Statement:\nWhich nuclide has an NMR frequency of 115.5 MHz in a 20.0 T magnetic field?" | {
"stem_364": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "17O",
"opt_B": "29Si",
"opt_C": "31P",
"opt_D": "19F",
"opt_E": "13C",
"opt_F": "15N",
"opt_G": "27Al",
"opt_H": "33S",
... |
"Problem Statement:\nUse the following table to calculate the enthalpy of propane at 25° C and at oneatmassuming the enthalpy of solid carbon and hydrogen gas to be zero at that temperature and pressure. Bond Energy Bond Energy H - H 104.2 H - l 71.4 C - C 83.1 C - N 69.7 Cl -Cl 58.0 C - O 84.0 Br - Br 46.1 C -Cl 78.5 ... | {
"stem_365": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "515.10 kcal",
"opt_B": "689.4 kcal",
"opt_C": "-200.1 kcal",
"opt_D": "527.8 kcal",
"opt_E": "956.6 kcal",
"opt_F": "-101.3 kcal",
... |
"Problem Statement:\nWhen a swimmer leaves cold water on a warm, breezy day, he experiences a cooling effect. Why?" | {
"stem_366": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The cold water causes a decrease in the swimmer's metabolic rate.",
"opt_B": "The swimmer feels cold due to the temperature difference.",
"opt_C": "Eva... |
"Problem Statement:\nIt is estimated that 3 × 10^5 tons of sulfur dioxide, SO_2, enters the atmosphere daily owing to the burning of coal and petroleum products. Assuming an even distribution of the sulfur dioxide throughout the earth's atmosphere (which is not the case) , calculate in parts per million by weight the c... | {
"stem_367": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.5 × 10^-5 ppm SO_2",
"opt_B": "3.0 × 10^5 ppm SO_2",
"opt_C": "5 × 10^-6 ppm SO_2",
"opt_D": "7 × 10^-6 ppm SO_2",
"opt_E": "6.67 × 10^-5... |
"Problem Statement:\nA sample of bristle cone pine wood of age 7,000 \\pm 100 years, known by counting growth rings, possesses an activity of 6.6 d(disintegrations) / minute-g of carbon. Calculate the exact age of the wood sample from radiochemical evidence." | {
"stem_368": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6,400 years old",
"opt_B": "6,225 years old",
"opt_C": "7,500 years old",
"opt_D": "6,600 years old",
"opt_E": "7,000 years old",
"op... |
"Problem Statement:\nFind the pH of 0.10 MHOAcsolution that has 0.20 MNaOAc dissolved in it. The dissociation constant ofHOAcis 1.75 × 10^-5." | {
"stem_369": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.92",
"opt_B": "6.07",
"opt_C": "5.07",
"opt_D": "6.50",
"opt_E": "5.92",
"opt_F": "7.00",
"opt_G": "5.5",
"opt_H": "4.5... |
"Problem Statement:\nGiven that $D_e=4.75 \\mathrm{eV}$ and $R_e=0.741 Å$ for the ground electronic state of $\\mathrm{H}_2$, find $U\\left(R_e\\right)$ for this state." | {
"stem_370": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-26.89 $\\mathrm{eV}$",
"opt_B": "-30.77 $\\mathrm{eV}$",
"opt_C": "-34.12 $\\mathrm{eV}$",
"opt_D": "-28.57 $\\mathrm{eV}$",
"opt_E": "-29... |
"Problem Statement:\nFind the contributions of the conductivities of individual ions (ionic equivalent conductance \\lambda_+ and \\lambda_-) when٨(equivalent ٨ conductance of electrolytic solution) = 0.0412 m^2 /(\\Omega) (mol) and t_+ = 0.825." | {
"stem_371": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\lambda_+ = 0.00721 m^2 / (Ω) (mol), \\lambda_- = 0.0412 m^2 / (Ω) (mol)",
"opt_B": "\\lambda_+ = 0.825 m^2 / (Ω) (mol), \\lambda_- = 0.0412 m^2 / (Ω) (mol)... |
"Problem Statement:\nFor the complex ion equilibrium for the dissociation of Cu(NH_3)^2_4^+ , calculate (1) the ratio of Cu^2+ ion to Cu(NH_3)^2_4^+ in a solution 1 M in NH_3; (2) the equilibrium concentration of NH_3 needed to attain 50 % conversion of Cu^2+ to Cu(NH_3)^2_4^+. K_a for Cu(NH_3)^2_4^+ = 2 × 10^-13." | {
"stem_372": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "[Cu^2+] / [Cu(NH_3)^2_4^+] = 4 × 10^-13, [NH_3] = 7.0 × 10^-3 M",
"opt_B": "[Cu^2+] / [Cu(NH_3)^2_4^+] = 3 × 10^-13, [NH_3] = 9.0 × 10^-3 M",
"opt_C": ... |
"Problem Statement:\nWhat volume of a block of wood (density = 0.80 g / cm^3), which weighs 1.0 kg, will be above the water surface when . the block is afloat? (Note: A floating object displaces its own weight of water.)" | {
"stem_373": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1000 cm^3",
"opt_B": "250 cm^3",
"opt_C": "1100 cm^3",
"opt_D": "600 cm^3",
"opt_E": "1250 cm^3",
"opt_F": "800 cm^3",
"opt_G":... |
"Problem Statement:\nA 1,500-kw six-phase synchronous converter has a full-load d-c voltage of 600. Determines (a) the a-c voltage between rings; (b) the d-c output; (c) the a-c input per line." | {
"stem_374": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 175 volts, (b) 3,500 amp, (c) 1,750 amp",
"opt_B": "(a) 289 volts, (b) 2,750 amp, (c) 1,375 amp",
"opt_C": "(a) 300 volts, (b) 2,000 amp, (c) 1,000... |
"Problem Statement:\ny_11 = 0.25 mho, y_12 = - 0.05 mho, y_22 = 0.1 mho. Find the z-parameters." | {
"stem_375": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "z_11 = 11.1 \\Omega, z_12 = z_21 = 4.44 \\Omega, z_22 = 22.2 \\Omega",
"opt_B": "z_11 = 11.1 \\Omega, z_12 = z_21 = 2.22 \\Omega, z_22 = 4.44 \\Omega",
... |
"Problem Statement:\nWhich of the following compounds has a 1H resonance approximately 1.55 kHz away from TMS on a spectrometer with a 12.0 T magnet?" | {
"stem_376": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "CH3NO2",
"opt_B": "CH3Cl",
"opt_C": "CH3F",
"opt_D": "CH3SCH3",
"opt_E": "CH3NH2",
"opt_F": "CH2Cl2",
"opt_G": "CH3OH"
},
... |
"Problem Statement:\nA sealed glass bulb contained helium at a pressure of 750 mm Hg and 27°C. The bulb was packed in dry ice at - 73°C. What was the resultant pressure of the helium?" | {
"stem_377": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "450 mm Hg",
"opt_B": "700 mm Hg",
"opt_C": "650 mm Hg",
"opt_D": "500 mm Hg",
"opt_E": "600 mm Hg",
"opt_F": "300 mm Hg",
"opt_... |
"Problem Statement:\nA student made three successiveweighingsof an object as follows: 9.17 g, 9.15 g, and 9.20 g. What is the average weight of the object in milligrams?" | {
"stem_378": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9180 mg",
"opt_B": "9150 mg",
"opt_C": "9200 mg",
"opt_D": "9135 mg",
"opt_E": "9155 mg",
"opt_F": "9190 mg",
"opt_G": "9145 mg... |
"Problem Statement:\nSuppose that $10.0 \\mathrm{~mol} \\mathrm{C}_2 \\mathrm{H}_6(\\mathrm{~g})$ is confined to $4.860 \\mathrm{dm}^3$ at $27^{\\circ} \\mathrm{C}$. Predict the pressure exerted by the ethane from the van der Waals equations of state." | {
"stem_379": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "32.7$\\mathrm{atm}$",
"opt_B": "28.6$\\mathrm{atm}$",
"opt_C": "42.3 atm",
"opt_D": "45.1 atm",
"opt_E": "30.9 atm",
"opt_F": "37.8 a... |
"Problem Statement:\nSuppose the change HC_2 O_4 ̄ + Cl_2 CO_3 ^2 ̄ +Cl ̄ is to be carried out in basic solution. Starting with 0.10 mole of OH ̄, 0.10 mole of HC_2 O_4 ̄, and 0.05 mole of Cl_2, how many moles ofCl ̄ would be expected to be in the final solution?" | {
"stem_380": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.10 moles of Cl ̄",
"opt_B": "0.06 moles of Cl ̄",
"opt_C": ".02 moles of Cl ̄",
"opt_D": ".03 moles of Cl ̄",
"opt_E": ".01 moles of Cl ̄... |
"Problem Statement:\nWhile operating on variable frequency supplies, the AC motor requires variable voltage in order to" | {
"stem_381": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "extend the motor's lifespan.",
"opt_B": "increase the motor's efficiency.",
"opt_C": "reduce the motor's noise.",
"opt_D": "maintain a constant s... |
"Problem Statement:\nWhich one of the following statements is true:" | {
"stem_382": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Protons and neutrons possess orbital angular momentum only.",
"opt_B": "Protons and neutrons possess spin angular momentum only.",
"opt_C": "Protons po... |
"Problem Statement:\nA three input information channel with all three input symbols equally probable, is defined by the channel matrix, \\vert0.50.30.2\\vert \\vert0.20.30.5\\vert \\vert0.30.30.4\\vert Assuming that a maximum-likelihood decision rule is used, determine the error probability, P_E, of the channel." | {
"stem_383": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(13) / (30)",
"opt_B": "(19) / (30)",
"opt_C": "(15) / (30)",
"opt_D": "(18) / (30)",
"opt_E": "(14) / (30)",
"opt_F": "(17) / (30)",... |
"Problem Statement:\nCalculate the wavelength and the energy of a photon associated with the series limit of the Lyman series." | {
"stem_384": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "91.17nm ",
"opt_B": "123.64nm",
"opt_C": "121.54nm",
"opt_D": "84.15nm",
"opt_E": "88.21nm",
"opt_F": "102.57nm",
"opt_G": "105... |
"Problem Statement:\nIron (III) oxide is reacted with carbon monoxide in a blast furnace to produce iron. The balanced reaction is: Fe2O_3 + 3CO + 2Fe + 3CO_2 What volume of CO at STP is required to completely use up 31.94 kg of iron oxide? (MW of Fe_2O_3 = 159.7, MW of CO = 28.)" | {
"stem_385": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20.000 l",
"opt_B": "17.600 l",
"opt_C": "11.200 l",
"opt_D": "13.440 l",
"opt_E": "10.000 l",
"opt_F": "25.200 l",
"opt_G": "8... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. Calculate the standard enthalpy of solution of $\\mathrm{AgCl}(\\mathrm{s})$ in water from the enthalpies of formation of the solid and the aqueous ions." | {
"stem_386": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-65.49$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_B": "+30.50$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "+125.80$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
... |
"Problem Statement:\nA decision has to be made whether a baseband signal should be modulated using delta modulation or pulse code modulation technique. If the signal- to- noise ratio, (S_o / N_q) where N_q = quantization noise and S_o = output signal power, during transmission for both mo-dulations should be at least 3... | {
"stem_387": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "^3√[(3) / (8π^210^3)] * [(1) / (log_10^2)]",
"opt_B": "^3√[(4) / (8π^210^3)] * [(2) / (log_10^2)]",
"opt_C": "^3√[(3) / (8π^210^3)] * [(4) / (log_10^2)... |
"Problem Statement:\nSolid ammonium nitrate,amitol, is much used as an explosive; it requires a detonator explosive to cause its decomposition to hot gases. NH_4NO_3 \\ding{217} N_2O + 2H_2O Assume 900 g NH_4NC_3 almost instantaneously decomposed. What total volume of gas in liters forms at 1092°C?" | {
"stem_388": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4500 l",
"opt_B": "33.75 l",
"opt_C": "1890 l",
"opt_D": "1125 l",
"opt_E": "2520 l",
"opt_F": "756 l",
"opt_G": "1365 l",
... |
"Problem Statement:\nA 500 kW, 600 V dc, 12 phase synchronous converter operates as a direct converter at a full efficiency of 92 per cent and a power factor of 0.93. Calculate: (a) The ac voltage between slip-rings (b) The dc output current (c) The ac current drawn from a 12-phase transformer-fed supply. POLYPHASE SYN... | {
"stem_389": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 109 V, (b) 833.3 A, (c) 229.5 A",
"opt_B": "(a) 180 V, (b) 850 A, (c) 234 A",
"opt_C": "(a) 140 V, (b) 760 A, (c) 210 A",
"opt_D": "(a) 120 V... |
"Problem Statement:\nPaper pulp (almost 100 % cellulose) is prepared commercially by digesting wood chips in a hot aqueous solution of calciumbisulfite, Ca(HSO_3)_2. The latter dissolves lignin and resins in the wood, leaving nearly pure cellulose. The sulfite solution is prepared by the following reactions: S + O_2\\d... | {
"stem_390": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "220 kg of sulfur, 350 kg of Ca(HSO_3)_2",
"opt_B": "180 kg of sulfur, 450 kg of Ca(HSO_3)_2",
"opt_C": "200 kg of sulfur, 400 kg of Ca(HSO_3)_2",
... |
"Problem Statement:\nWhich of the following is expected to be the least soluble in water?" | {
"stem_391": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Cu(OH)2",
"opt_B": "Zn(NO3)2",
"opt_C": "NiSO3",
"opt_D": "MgCl2",
"opt_E": "Mn(NO3)2",
"opt_F": "FeSO4",
"opt_G": "CrCl3",
... |
"Problem Statement:\nFor the indicator phenolphthalein (In^-),HInis colorless and In^- is red;K_dissis 10^-9. If one has a colorless solution of 50 ml phenolphthalein, how much 0.10 MNaOHsolution would one have to add to make itred: K_W = 10^-14 ." | {
"stem_392": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.5 × 10^-5 liters",
"opt_B": "0.100 liters",
"opt_C": "5.0 × 10^-4 liters",
"opt_D": "5.0 × 10^-6 liters",
"opt_E": "0.010 liters",
... |
"Problem Statement:\nA 125-kW, 250-V, 1800-rev/min, cumulative compound d-c generator has the following winding resistances: r_a = 0.025\\Omegar_se = 0.010\\Omegar_f = 30\\Omega The machine is long-shunt connected. Its stray-power loss at rated voltage and 1800 rev/min is 5000 W. When operated at rated speed, load, and... | {
"stem_393": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "90%, 200 hp",
"opt_B": "87.5%, 195 hp",
"opt_C": "84.7%, 175 hp",
"opt_D": "88.1%, 190.3 hp",
"opt_E": "89.5%, 205 hp",
"opt_F": "87.... |
"Problem Statement:\nEthanol boils at 78.5°C. If 10 g of sucrose (C_12H_22O_11) is dissolved in 150 g of ethanol, at what temperature will the solution boil? Assume k_b = (1.20°C / M) for the alcohol." | {
"stem_394": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "78.5°C",
"opt_B": "79.5°C",
"opt_C": "78.73°C",
"opt_D": "79°C",
"opt_E": "78.9°C",
"opt_F": "78.65°C",
"opt_G": "78.85°C",
... |
"Problem Statement:\nA chemist wants to dilute 50 ml of 3.50 M H_2SO_4 to 2.00 M H_2SO_4. To what volume must it be diluted?" | {
"stem_395": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "125 ml",
"opt_B": "50 ml",
"opt_C": "150 ml",
"opt_D": "175 ml",
"opt_E": "100 ml",
"opt_F": "110 ml",
"opt_G": "75 ml",
... |
"Problem Statement:\nA gas occupies a volume of 1.0 liter at a temperature of 27°C and 500Torrpressure. Calculate the volume of the gas if the temperature is changed to 60°C and the press-ure to 700Torr." | {
"stem_396": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.79 liter",
"opt_B": "0.99 liter",
"opt_C": "1.19 liters",
"opt_D": "0.59 liter",
"opt_E": "1.09 liters",
"opt_F": "0.49 liter",
... |
"Problem Statement:\nThe smallest change in measured variable to which instrument will respond is" | {
"stem_397": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "calibration.",
"opt_B": "sensitivity.",
"opt_C": "resolution.",
"opt_D": "repeatability.",
"opt_E": "linearity.",
"opt_F": "precision... |
"Problem Statement:\nGlacial acetic acid has a melting point of 16°C at a pressure of 1 atm. a) Calculate the melting point at its vapor pressure of 0atm, given that the acid has a heat of fusion of 2700 cal/mole and a molecular weight of 60. Solid and liquid acetic acid have densities of 1.10 g/cc and 1.05 g/cc respec... | {
"stem_399": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.8°C, 11200 cal/mole",
"opt_B": "15.8°C, 10700 cal/mole",
"opt_C": "15.2°C, 12000 cal/mole",
"opt_D": "16.5C, 9500 cal/mole",
"opt_E": "1... |
"Problem Statement:\nA zincmineral slurry consists of ore particles and water in thevolumetric ratio of 1 : 3. The volumetric ratio of zinc mineral(sp. gr. = 3.8) to ore particles (sp. gr. = 2.6) is 0.2. The mineral particles are 0.007 in. in diameter. If the particlesof zinc mineral are settling under gravity, determi... | {
"stem_400": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.030 ft/s",
"opt_B": "0.060 ft/s",
"opt_C": "0.045 ft/s",
"opt_D": "0.050 ft/s",
"opt_E": "0.035 ft/s",
"opt_F": "0.065 ft/s",
... |
"Problem Statement:\nCalculate the Laplace transform oft^nu(t)." | {
"stem_401": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "L{t^nu(t)} = [n! / (s^(n+3))]",
"opt_B": "L{t^nu(t)} = [(n+1)! / (s^(n+1))]",
"opt_C": "L{t^nu(t)} = [n! / (s^n)]",
"opt_D": "L{t^nu(t)} = [n! / ... |
"Problem Statement:\nCalculate the starting current and starting torque for the repulsion-start, induction-run motor described below: Rating:2 hp220 volts4 poles60 cycles Full-load torque = 96.5 oz-ft Maximum torque as induction motor = 228 oz-ft. r_1 = 0.765 \\OmegaX_0 = 57.0 \\Omega X_1 = 1.88 \\OmegaK_r = 0.935 X_2 ... | {
"stem_402": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "486 oz-ft, 30.65 amperes",
"opt_B": "520 oz-ft, 33 amperes",
"opt_C": "420 oz-ft, 31.5 amperes",
"opt_D": "475 oz-ft, 37 amperes",
"opt_E":... |
"Problem Statement:\nCompute the field intensity midway between two point charges; number 1 of + 30\\mucoulombs(microcoulombs), number2 of + 40\\mucoulombs, when the charges are 10 cm apartin air." | {
"stem_403": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "30 × 10^6 newtons/coulomb",
"opt_B": "28 × 10^6 newtons/coulomb",
"opt_C": "60 × 10^6 newtons/coulomb",
"opt_D": "45 × 10^6 newtons/coulomb",
... |
"Problem Statement:\nIron(III) hydroxide has Ksp = 1.6 × 10^-39. What is the molar solubility of this compound?" | {
"stem_404": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.4 × 10^-11 mol/L",
"opt_B": "8.8 × 10^-11 M",
"opt_C": "2.0 × 10^-10 M",
"opt_D": "5.0 × 10^-9 M",
"opt_E": "1.0 × 10^-10 mol/L",
"... |
"Problem Statement:\nFind the Laplace transform of f(t) =t^n, where n is a positive integer," | {
"stem_405": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "L{t^n} = [n^2 / (s^(n+2))], for s > 0",
"opt_B": "L{t^n} = [n! / (s^(n-1))], for s > n",
"opt_C": "L{t^n} = [n! / (s^(n+1)+1)], for s > 0",
"opt_... |
"Problem Statement:\nFrom Planck's Law, compute the Stefan - Boltzmann equation for the total density of black - body radiation as a function of temperature. That is,E (T) = ^\\infty\\int_0 E(ѵ)dѵ" | {
"stem_406": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "E(T) = [(6π^5k^4T^4) / (15h^3c^3)]",
"opt_B": "E(T) = [(8\\pi^5k^5T^4) / (15h^3c^3 )]",
"opt_C": "E(T) = [(8\\pi^5k^4T^4) / (20h^3c^3 )]",
"opt_D... |
"Problem Statement:\nA small electrical device is having eight pin fins each of 5 mm wide, 0.5 mm thick and 25 mm long, to dissipate the heat generated within it. The thermal conductivity of the fin material is 200 W/m °K and the film heat coefficient is uniform throughout the lengths of the fin at 9 W/m^2 °K. If the d... | {
"stem_407": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.15 W",
"opt_B": "0.65 W",
"opt_C": "1.10 W",
"opt_D": "1.25 W",
"opt_E": "0.85 W",
"opt_F": "1.05 W",
"opt_G": "0.95 W",
... |
"Problem Statement:\nIf 5 watts/meter^2 is thePoyntingvector of a plane wave traveling in free space, find its average energy density." | {
"stem_408": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(1/2) erg/meter^3",
"opt_B": "(1/3)erg/meter^3",
"opt_C": "(1/8) erg/meter^3",
"opt_D": "(3/6) erg/meter^3",
"opt_E": "(1/5) erg/meter^3",
... |
"Problem Statement:\nCompute the size of a steel rectangular column hinged at both ends. The length of the column is 16 in., and the compressive load is 15,000 lbs. Assume a factor of safety of 2.5, elastic limit of the material = 40,000 psi, modulus of elasticity = 30 × 10^6 psi and breadth = 3 × (thickness)." | {
"stem_409": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.5 in. x 0.75 in.",
"opt_B": "1.8 in. x 0.6 in.",
"opt_C": "2.25 in. x 0.8 in.",
"opt_D": "1.75 in. x 0.65 in.",
"opt_E": "3 in. x 1 in.",... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the change in chemical potential of a perfect gas when its pressure is increased isothermally from $1.8 \\mathrm{~atm}$ to $29.5 \\mathrm{~atm}$ at $40^{\\circ} \\mathrm{C}$." | {
"stem_410": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+10.2$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_B": "+7.3$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "+8.4$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt... |
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