state unknown | questions unknown |
|---|---|
"Problem Statement:\nChlorine gas reacts most readily with" | {
"stem_933": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "butane",
"opt_B": "ethylene",
"opt_C": "acetic acid",
"opt_D": "toluene",
"opt_E": "ethanol",
"opt_F": "propane",
"opt_G": "eth... |
"Problem Statement:\nA chemist dissolves 10 g of an unknown protein in a liter of water at 25°C. The osmotic pressure is found to be 9.25 mmHg. What is the protein's molecular weight. Based upon the number of moles in 10 g of protein, what would the freezing point depression and boiling point elevation be? Assume R = U... | {
"stem_934": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Molecular weight: 21,500 (g / mole), ∆T_f = 8.8 × 10^-4 °C, ∆T_b = 2.34 × 10^-4 °C",
"opt_B": "Molecular weight: 18,500 (g / mole), ∆T_f = 10.3 × 10^-4 °C, ∆... |
"Problem Statement:\nUsing the following heat of solution data for ethanol, calculatethe heat of dilution from the more concentrated to themore diluted solution, per mole of ethanol. Data@ 77°F \\DeltaH = - 4.45 Btu/molefor X(C)2(H)5(OH)= 1 / 6 \\DeltaH = - 6.66 Btu/molefor X(C)2(H)5(OH)= 1 / 10" | {
"stem_935": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-1.11 Btu/mole",
"opt_B": "4.45 Btu/mole",
"opt_C": "1.23 Btu/mole",
"opt_D": "0.00 Btu/mole",
"opt_E": "- 2.21 Btu/mole",
"opt_F": "... |
"Problem Statement:\nThe maximum heat dissipation from a rectangular profile fin, designed for minimum weight, is 500 k cal per hour per meter width of the fin. The fin base temperature and the ambient air temperature are 110°C and 10°C, respectively. The heat transfer coefficient on the fin surface is 90 kcal/m^2-hr-°... | {
"stem_936": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Thickness of the fin = 6.14, Length of the fin = 44.85 mm",
"opt_B": "Thickness of the fin = 4.14, Length of the fin = 40.85 mm",
"opt_C": "Thickness o... |
"Problem Statement:\nA 2 in. radius pure copper sphere and a pure copper cube of side2 in. are heated to 1250°F and then exposed to air at 210°F.The surface film coefficient is 12 Btu/ hr.ft^2.°F. Determine the temperature of both the sphere and the cube aftera period of 10 minutes." | {
"stem_937": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Sphere: 750°F, Cube: 480°F",
"opt_B": "Sphere: 760°F, Cube: 490°F",
"opt_C": "Sphere: 720°F, Cube: 465°F",
"opt_D": "Sphere: 710°F, Cube: 470°F",... |
"Problem Statement:\nNitrogen's electronegativity value is between those of phosphorus and oxygen. Which of the following correctly describes the relationship between the three values?" | {
"stem_938": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The value for nitrogen is less than that of phosphorus because nitrogen has a smaller atomic mass, but greater than that of oxygen because nitrogen has a larger at... |
"Problem Statement:\nWhat is the weight of 1,000 cubic feet of air at STP?" | {
"stem_939": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.10 × 10^3 oz",
"opt_B": "2.50 × 10^3 oz",
"opt_C": "1.00 × 10^3 oz",
"opt_D": "8.00 × 10^2 oz",
"opt_E": "2.00 × 10^3 oz",
"opt_F":... |
"Problem Statement:\nThe wave function for the state of lowest energy of a one - dimensional harmonic oscillator is \\psi = Ae^-B(x)2 , where A is a normalization constant and B = (\\muK)^1/2 /2\\cyrchar\\cyrtshe. The potential energy is U = (1/2)Kx^2 . Derive the total energy E by substitut-ing \\psi into the Schrodin... | {
"stem_940": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "E = (h/2) ѵ",
"opt_B": "E = (h/2) K",
"opt_C": "E = (h/2) µ",
"opt_D": "E = (3h/2) ѵ",
"opt_E": "E = K / (2µ)",
"opt_F": "E = (h/2) π... |
"Problem Statement:\nDetermine all the modes that can be transmitted in a rectangularwaveguide with a cross-section of 0.04 × 0.07m. Assume the guide excited at 3(10^9) cps and at 6(10^9) cps." | {
"stem_941": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "TE_01, TE_02, TE_11, TE_21, TM_10, TM_20",
"opt_B": "TE_10, TE_01, TM_11, TM_20",
"opt_C": "TE_10, TE_11, TE_12, TM_10, TM_11, TM_12",
"opt_D": "... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. The standard enthalpy of formation of ethylbenzene is $-12.5 \\mathrm{~kJ} \\mathrm{~mol}^{-1}$. Calculate its standard enthalpy of combustion." | {
"stem_942": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-4564.7 $\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_B": "-3675.9 $\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "-3925.4 $\\mathrm{kJ} \\mathrm{mol}^{-1}$",... |
"Problem Statement:\nThe air used for the combustion of a hydrocarbon was suppliedat 25°C and 100kPawith a relative humidity of 48%. Determine (a) the carbon / hydrogen ratio of the fuel on amass basis and (b) the percent theoretical air employed in thecombustion process, if an analysis of the products of combustionyie... | {
"stem_943": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Carbon / Hydrogen ratio: 7.67, Theoretical air percentage: 125.3%",
"opt_B": "Carbon / Hydrogen ratio: 5.67, Theoretical air percentage: 120.3%",
"opt_... |
"Problem Statement:\nSuperheated steam at 330psiaand 600°F, is flowing through a nozzle at a rate of 12,000 lb/hr. The final pressure at the exit is 5psia. The velocity coefficient and the discharge coefficients are 0.92 and 0.95 respectively. Calculate a) the exit jet velocity and b) the areas at the throat and the ex... | {
"stem_944": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Exit jet velocity: 4100 ft/sec, Throat area: 0.83 in^2, Exit area: 9.3 in^2",
"opt_B": "Exit jet velocity: 3600 ft/sec, Throat area: 0.76 in^2, Exit area: 8.... |
"Problem Statement:\nA flat key mounted on a motor shaft 4 in. diameter is subjected to a maximum twisting moment of 45,000 lbs-in. Design a suitable key assuming the design stress in bearing to be 24,000 psi and in shear at 9000 psi." | {
"stem_945": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "thickness = 7/8 in. width = 1.5 in. length = 3 in.",
"opt_B": "thickness = 1 in. width = 2 in. length = 1.5 in.",
"opt_C": "thickness = 3/4 in. width =... |
"Problem Statement:\nFind the voltage across a 0.01 \\muF capacitor at t = 0.25 \\mus if \\nu(o) = 0.6 V and the current through it is: (a) 0.2 sin 2\\pi 10^6 t A, (b) 0.2e^-(10)7 ^t A, (c) 0.2 A; 0 \\leq t \\leq 3 \\mus." | {
"stem_946": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 3.78 V, (b) 2.44 V, (c) 5.6 V",
"opt_B": "(a) 4.20 V, (b) 3.15 V, (c) 6.28 V",
"opt_C": "(a) 6.28 V, (b) 4.20 V, (c) 3.15 V",
"opt_D": "(a) 4... |
"Problem Statement:\nDetermine the spacing of the planes (111) forCsBrwith CsBr with a = 7.28°A. a = 7.28°A." | {
"stem_947": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.00° A",
"opt_B": "8.50° A",
"opt_C": "2.14° A",
"opt_D": "7.28°A",
"opt_E": "4.20°A",
"opt_F": "1.732°A",
"opt_G": "6.15° A",... |
"Problem Statement:\nA piston-cylinder device has an initial contained volume of 0.1 ft^3 and contains steam at an initial state of 160 psia, 500°F. The steam is then expanded to 20 psia, and as a result of this process 0.50 Btu of heat is transferred to the system. Assuming atmospheric conditions to be 14.7 psia, 80°F... | {
"stem_948": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-1.00 Btu, 3.00 Btu",
"opt_B": "-2.00 Btu, 1.50 Btu",
"opt_C": "0.50 Btu, -3.00 Btu",
"opt_D": "-1.50 Btu, -1.00 Btu",
"opt_E": "- 1.82 Btu... |
"Problem Statement:\nCalculate the molar energy required to reverse the direction of an $\\mathrm{H}_2 \\mathrm{O}$ molecule located $100 \\mathrm{pm}$ from a $\\mathrm{Li}^{+}$ ion. Take the magnitude of the dipole moment of water as $1.85 \\mathrm{D}$." | {
"stem_949": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.65 $10^3 \\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
"opt_B": "3.20 $10^3 \\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
"opt_C": "2.14 $10^3 \\mathrm{~kJ} \\mathrm{~... |
"Problem Statement:\nLet A =\\vert1- 12\\vertandB =\\vert283\\vert \\vert323\\vert\\vert151\\vert, find A + B and A - B." | {
"stem_950": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "A + B = |473| |375|, A - B = |-1 -9 -1| |3 -23|",
"opt_B": "A + B = |375| |475|, A - B = |-2 -9 -1| |2 -32|",
"opt_C": "A + B = |473| |475|, A - B = |-... |
"Problem Statement:\nDetermine the weights of CO_2 and H_2 O produced on burning 104 g. of C_2 H_2. Molecular weights are CO_2 = 44 and H_2 O = 18. The equation for the reaction is 2C_2 H_2 + 5O_2 \\rightarrow 4CO_2 + 2H_2 O" | {
"stem_951": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "220 g of CO_2 and 45 g of H_2 O",
"opt_B": "176 g of CO_2 and 36 g of H_2 O",
"opt_C": "352 g of CO_2 and 72 g of H_2 O",
"opt_D": "400 g of CO_2... |
"Problem Statement:\nA carrier with amplitude 4 volts and frequencyf_c= 2MHz is frequency modulated by a modulating signal m(t) = sin 1000\\pit. The amplitude of the modulating signal is 2 volts and the frequency deviation was found to be equal to 1 kHz. If the amplitude and frequency of the modulating signal are incre... | {
"stem_952": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "v(t) = 4cos(4\\pi × 10^6 t + 2 sin2\\pi × 2000t)",
"opt_B": "v(t) = 8cos(4π × 10^6 t + 4 sin2π × 1000t)",
"opt_C": "v(t) = 8cos(2π × 10^6 t + 4 sin2π ×... |
"Problem Statement:\nUsing the steam tables, calculate the velocity in a nozzle at a pointwhere the pressure is 40Psiawhen the superheated steamflows from a boiler. The initial boiler conditions are P(pressure) = 80Psia, T(temperature) = 500°F, and V(velocity) = 0." | {
"stem_953": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2100 ft/sec",
"opt_B": "2200 ft/sec",
"opt_C": "1500 ft/sec",
"opt_D": "1950 ft/sec",
"opt_E": "1819 ft/sec",
"opt_F": "1600 ft/sec",... |
"Problem Statement:\nGiven the reaction CO(g) + H_2O(g) = CO_2(g) + H_2 (g) \\DeltaH_298°K = - 10 kcal Calculate \\DeltaH at 1000°K. Theheat capacities are C_P (CO) = 6.60 + 1.0 × 10^-3 T C_P (H_2) =6.6 + 1.0 × 10^-3 T C_P (H_2O) = 7.3 + 2.0 × 10^-3 T C_P (CO_2) = 7.3 + 3.0 × 10^-3 T" | {
"stem_954": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-10.26 kcal",
"opt_B": "-10 kcal",
"opt_C": "-9.44 kcal",
"opt_D": "-8.50 kcal",
"opt_E": "-11.00 kcal",
"opt_F": "-8.92 kcal",
... |
"Problem Statement:\nThe fatigue loading applied on a compression spring consists of a minimum load of 145 lbs. to a maximum load of 295 lbs. Design the spring wire diameter for a factor of safety, based on fatigue failure to be 1.4 and the spring is assumed to have a mean coil diameter of 0.95 in. Consider the spring ... | {
"stem_955": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.35 in.",
"opt_B": "0.20 in.",
"opt_C": "0.28 in.",
"opt_D": "0.30 in.",
"opt_E": "0.18 in.",
"opt_F": "0.22 in.",
"opt_G": "0... |
"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 $10.0 \\mathrm{~cm... | {
"stem_956": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-30$\\text{J}$",
"opt_B": "-80 J",
"opt_C": "-35 J",
"opt_D": "-25 J",
"opt_E": "-10$\\text{J}$",
"opt_F": "-70 J",
"opt_G": "-... |
"Problem Statement:\nWhat is the de Broglie wavelength of an 88 kg man skiing down Mt.Tremblantin Quebec at 5.0 × 10^5 cm/sec?" | {
"stem_957": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.5 × 10^-38 cm",
"opt_B": "8.0 × 10^-38 cm",
"opt_C": "2.5 × 10^-37 cm",
"opt_D": "1.7 × 10-^37 cm",
"opt_E": "2.0 × 10-^37 cm",
"op... |
"Problem Statement:\nA 72-slot three-phase stator armature is wound for six poles, usingdouble-layer lap coils having 20 turns per coil with a (5 / 6) pitch. The flux per pole is 4.8 × 10^6 lines, and the rotor speedis 1200 rpm. Calculate: (a) The generated effective voltage per coil of a full- pitch coil. (b) The tota... | {
"stem_958": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 310 V/coil, (b) 520 turns/phase, (c) 0.945, (d) 0.960, (e) 5800 V",
"opt_B": "(a) 256 V/coil, (b) 480 turns/phase, (c) 0.958, (d) 0.966, (e) 5680 V",
... |
"Problem Statement:\nRefrigerant 12 (Freon 12) at 20 psia and 30°F is compressed to 140 psia and 150°F during a compression stroke. For a pound of this refrigerant (a) calculate the work done during compression, (b) the heat removed during compression." | {
"stem_959": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Work done during compression is -140 psia, heat removed during compression is -150 Btu/lb",
"opt_B": "Work done during compression is 11,670 ft-lb, heat remo... |
"Problem Statement:\nCompute the surface temperature of a 1/12 in. diameter resistance wire generating heat at the rate of 236.77 Btu/hr per foot length. The ambient air temperature is 66°F. Neglect the radiation heat loss." | {
"stem_960": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "550°F",
"opt_B": "650°F",
"opt_C": "1700°F",
"opt_D": "229.77 Btu/hr per ft. length",
"opt_E": "1200°F",
"opt_F": "883°F",
"opt... |
"Problem Statement:\nWhat is the temperature of a two-level system of energy separation equivalent to $400 \\mathrm{~cm}^{-1}$ when the population of the upper state is one-third that of the lower state?" | {
"stem_961": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "450 $ \\mathrm{~K}$",
"opt_B": "400 $ \\mathrm{~K}$",
"opt_C": "700 $ \\mathrm{~K}$",
"opt_D": "800 $ \\mathrm{~K}$",
"opt_E": "350 $ \\mat... |
"Problem Statement:\nThe density of liquid gallium is 6.09 g/cm^3 at 35°C. If this element is employed in a barometer instead of mercury, what is the height of a column of gallium sustained in the barometer at 1atmpressure?" | {
"stem_962": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1697 mm Ga",
"opt_B": "1900 mm Ga",
"opt_C": "1400 mm Ga",
"opt_D": "1500 mm Ga",
"opt_E": "1800 mm Ga",
"opt_F": "2100 mm Ga",
... |
"Problem Statement:\nCalculate the drag force acting on a 3 ft wide by 4 ft long planesurface when water flows over it at a free-stream velocityof 5 ft/s. The laminar boundary layer region ends at aReynolds number of 1 × 10^5." | {
"stem_963": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.35lb_f",
"opt_B": "1.15lb_f",
"opt_C": "1.05 lb_f",
"opt_D": "1.25 lb_f",
"opt_E": "1.50 lb_f",
"opt_F": "0.85lb_f",
"opt_G":... |
"Problem Statement:\nFor a certain liquid which obeysTrouton'srule, its vapor pressure increases by 15 mm Hg per degree at temperatures around its normal boiling point. Calculate the heat of vaporization and the normal boiling point of this liquid." | {
"stem_964": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Heat of vaporization is 11.2 kcal and the normal boiling point is 260 °C",
"opt_B": "Heat of vaporization is 10.2 kcal and the normal boiling point is 250 °C... |
"Problem Statement:\nTwo narrow slits separated by $0.10 \\mathrm{~mm}$ are illuminated by light of wavelength $600 \\mathrm{~nm}$. What is the angular position of the first maximum in the interference pattern? If a detector is located $2.00 \\mathrm{~m}$ beyond the slits, what is the distance between the central maxim... | {
"stem_965": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4 mm",
"opt_B": "18 mm",
"opt_C": "14 mm",
"opt_D": "24 mm",
"opt_E": "8 mm",
"opt_F": "12 mm",
"opt_G": "6 mm",
"opt_H":... |
"Problem Statement:\nCalculate the volume of 0.3 N base necessary to neutralize 3 liters of 0.01 N nitric acid." | {
"stem_966": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.3 liters",
"opt_B": "2 liters",
"opt_C": "0.2 liters",
"opt_D": "3 liters",
"opt_E": "0.03 liters",
"opt_F": "0.01 liters",
"... |
"Problem Statement:\nSilver bromide, AgBr, used in photography, may be prepared from AgNO_3 and NaBr. Calculate the weight of each required for producing 93.3 lb of AgBr. (1 lb = 454 g.)" | {
"stem_967": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "50 lbs of NaBr and 85 lbs of AgNO3",
"opt_B": "45 lbs of NaBr and 75 lbs of AgNO3",
"opt_C": "52.7 lbs of NaBr and 84.7 lbs of AgNO3",
"opt_D": "... |
"Problem Statement:\nConsider a horizontal pipe of 2 in. internal diameter which has saturated steam at 2psiacondensing on its outer surface. The temperature of the outer surface of the pipe is maintained at 100°F. Determine the rate of steam condensation per foot of pipe length." | {
"stem_968": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20.32 lb/hr-ft",
"opt_B": "12.50 lb/hr-ft",
"opt_C": "18.26 lb/hr-ft",
"opt_D": "19.45 lb/hr-ft",
"opt_E": "17.00 lb/hr-ft",
"opt_F":... |
"Problem Statement:\nUsing data from the accompanying table find the increase of enthalpy for 100 g of H_2 O going from ice at - 10°C to liquid water at + 15°C. Assume that the molar heat of fusion of ice is 6.02 kJ. Heat capacity in joules per mole-degree for various substances at the temperatures indicated H_2 O(s)at... | {
"stem_969": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "35,000 J",
"opt_B": "28,000 J",
"opt_C": "45,000 J",
"opt_D": "55,000 J",
"opt_E": "50,000 J",
"opt_F": "38,000 J",
"opt_G": "4... |
"Problem Statement:\nWhich one sentence explains most accurately why spin trapping is often used to detect free radical intermediates?" | {
"stem_970": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "spin trapping can be used to create a visual representation of free radical intermediates",
"opt_B": "spin trapping can be used to manipulate the properties ... |
"Problem Statement:\nThe feedback factor of a Wien bridge oscillator using Op-Amp is" | {
"stem_971": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3/2",
"opt_B": "1/4",
"opt_C": "0",
"opt_D": "1/5",
"opt_E": "1/3",
"opt_F": "2",
"opt_G": "1/2",
"opt_H": "1",
"op... |
"Problem Statement:\nThe world's total reserve of coal and natural gas is estimated to be equivalent to 3.0 × 10^19 Kcal. The world's present consumption of these fuels is 4.2 × 102 7ergs/year. At this rate of consumption, how long will the fuel reserves last?" | {
"stem_972": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "200 years",
"opt_B": "250 years",
"opt_C": "500 years",
"opt_D": "400 years",
"opt_E": "700 years",
"opt_F": "100 years",
"opt_... |
"Problem Statement:\nAn isolated spherical conductor of radius R carries a surface charge density \\sigma. Find the potential energy in terms of R." | {
"stem_973": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "{Q^2 / (16\\pi\\epsilon_0R)}",
"opt_B": "{2Q^2 / (8\\pi\\epsilon_0R)}",
"opt_C": "{Q / (8\\pi\\epsilon_0R)}",
"opt_D": "{Q / (16\\pi\\epsilon_0R^... |
"Problem Statement:\nA constant-volume perfect gas thermometer indicates a pressure of $6.69 \\mathrm{kPa}$ at the triple point temperature of water (273.16 K). What change of pressure indicates a change of $1.00 \\mathrm{~K}$ at the latter temperature?" | {
"stem_974": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.0145$\\mathrm{kPa}$",
"opt_B": "0.0299$\\mathrm{kPa}$",
"opt_C": "0.0445$\\mathrm{kPa}$",
"opt_D": "0.0545$\\mathrm{kPa}$",
"opt_E": "0.0... |
"Problem Statement:\nThemolalfreezing point constant for a certain liquid is 0.500°C. 26.4 g of a solute dissolved in 250 g of this liquid yields a solution which has a freezing point 0.125° below that of the pure liquid. Calculate the molecular weight of this solute." | {
"stem_975": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "422.4 g",
"opt_B": "600 g",
"opt_C": "150 g",
"opt_D": "475 g",
"opt_E": "300 g",
"opt_F": "200 g",
"opt_G": "550 g",
"op... |
"Problem Statement:\nA rectangular box is 5.00 in. wide, 8.00 in. long, and 6.0 in. A rectangular box is 5.00 in. wide, 8.00 in. long, and 6.0 in. deep. Calculate the volume in both cubic centimeters and in liters." | {
"stem_976": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3600 cc, 3.6 liters",
"opt_B": "3200 cc, 3.2 liters",
"opt_C": "4500 cc, 4.5 liters",
"opt_D": "2400 cc, 2.4 liters",
"opt_E": "4100 cc, 4.... |
"Problem Statement:\n1 mole of ammonia at - 33.33°C and 1.00atmis converted to vapor. Calculate q, w and \\DeltaE for the conversion, given that \\DeltaH = 589.3 Btu lb^-1. 1 lb of liquid occupies .02345 ft^3 and 1 lb of gas occupies 18.00 ft^3." | {
"stem_977": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "q = 1.94 kJ mol^-1, w = 23.33 kJ mol^-1, \\DeltaE = 21.39 kJ mol^-1",
"opt_B": "q = 21.39 kJ mol^-1, w = 23.33 kJ mol^-1, ΔE = -1.94 kJ mol^-1",
"opt_C... |
"Problem Statement:\nExample 5-3 shows that a Maclaurin expansion of a Morse potential leads to\n$$\nV(x)=D \\beta^2 x^2+\\cdots\n$$\nGiven that $D=7.31 \\times 10^{-19} \\mathrm{~J} \\cdot$ molecule ${ }^{-1}$ and $\\beta=1.81 \\times 10^{10} \\mathrm{~m}^{-1}$ for $\\mathrm{HCl}$, calculate the force constant of $\\m... | {
"stem_978": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "350$\\mathrm{~N} \\cdot \\mathrm{m}^{-1}$",
"opt_B": "450$\\mathrm{~N} \\cdot \\mathrm{m}^{-1}$",
"opt_C": "490$\\mathrm{~N} \\cdot \\mathrm{m}^{-1}$",... |
"Problem Statement:\nThe following data apply to a 100-kW 250-V six-pole 900-rpm compound generator (long-shunt connection): No-load rotational losses = 3840 W Armature resistance at 75°C = 0.012\\Omega Series-field resistance at 75°C = 0.004\\Omega Commutating-pole field resistance at 75°C = 0.004\\Omega Shunt-field c... | {
"stem_980": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.820",
"opt_B": "0.890",
"opt_C": "0.900",
"opt_D": "0.915",
"opt_E": "0.847",
"opt_F": "0.935",
"opt_G": "0.928",
"opt_... |
"Problem Statement:\nA screened telephone cable has the following parameters at 10 KHz: L = 0.7 × 10^-3H/Km C = 0.05 × 10^-6 F/Km R = 28 ohm/Km G = 1 × 10^-6 mho/Km. Determine the characteristic impedance, phase constant, and attenuation constant for this cable." | {
"stem_981": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Characteristic impedance: 140 - j50Ω, Attenuation constant: 1.15 dB/Km, Phase constant: 0.41 rad/sec",
"opt_B": "Characteristic impedance: 120 - j36Ω, Attenu... |
"Problem Statement:\nExpress the Boyle temperature of a van der Waals gas in terms of the constants a, b, and R. The final expression for T_B must contain only a, b, and R." | {
"stem_982": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "T_B = (a / 2bR)",
"opt_B": "T_B = (R / ab)",
"opt_C": "T_B = (2a / bR)",
"opt_D": "T_B = (aR^2 / b)",
"opt_E": "T_B = (bR / a)",
"opt... |
"Problem Statement:\nA chemist decides to prepare some chlorine gas by the following reaction: MnO_2 + 4HCl \\rightarrow MnCl_2 + 2H_2 O + Cl_2 \\uparrow If he uses 100 g of MnO_2, what is the maximum volume of chlorine gas that can be obtained at standard temperature and pressure (STP)?" | {
"stem_983": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "75.3 liters",
"opt_B": "15.0 liters",
"opt_C": "11.2 liters",
"opt_D": "86.9 liters",
"opt_E": "40.7 liters",
"opt_F": "22.4 liters",... |
"Problem Statement:\nTwo balloons at the same temperature of equal volume and porosity are each filled to a pressure of 4 atmos-pheres, one with 16 kg of oxygen, the other with 1 kg of hydrogen. The oxygen balloon leaks to a pressure of 1/2 atmosphere (atm) in 1 hour. How long will it take for the hydrogen balloon to r... | {
"stem_984": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "30 min",
"opt_B": "10 min",
"opt_C": "75 min",
"opt_D": "45 min",
"opt_E": "120 min",
"opt_F": "50 min",
"opt_G": "15 min",
... |
"Problem Statement:\nThe molecular diameter of an N_2 molecule, as deduced from the VanderWaals b parameter, is 3.15 × 10^-8 cm. The density of liquid nitrogen is 0.8081 g/cm^3. On a hard - sphere model, what fraction of the liquid volume appears to be empty space?" | {
"stem_985": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "65.00%",
"opt_B": "50.00%",
"opt_C": "75.80%",
"opt_D": "34.50%",
"opt_E": "42.10%",
"opt_F": "71.30 %",
"opt_G": "80.00%",
... |
"Problem Statement:\nAir is flowing through a nozzle with a 90% efficiency and an expansion rate of 2.0 Kg/s. The inlet conditions are P = 550kPa and T = 680°K. If the exit pressure is 120kPa calculate the actual exit area, velocity and enthalpy. Assume K = 1.4." | {
"stem_986": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Exit area = 2.37 × 10^-3m^2, Velocity = 550 m/s, Enthalpy = 400 KJ/kg",
"opt_B": "Exit area = 5.37 × 10^-3m^2, Velocity = 850 m/s, Enthalpy = 550 KJ/kg",
... |
"Problem Statement:\nHow many bits are required to store one BCD digit ?" | {
"stem_987": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7",
"opt_B": "10",
"opt_C": "2",
"opt_D": "3",
"opt_E": "5",
"opt_F": "4",
"opt_G": "9",
"opt_H": "6",
"opt_I": "1"... |
"Problem Statement:\nA non-Newtonian power-law fluid is flowing in a tube which is heatedby steam condensing outside the tube. Calculate the outletbulk fluid temperature for laminar flow, given the followingdata. Rate of flow of fluid = 650lbm/hr Entering temperature of the fluid = 100°F Inside wall temperature = 200°F... | {
"stem_988": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "128°F",
"opt_B": "138°F",
"opt_C": "125°F",
"opt_D": "150°F",
"opt_E": "137.5°F",
"opt_F": "132°F",
"opt_G": "145°F",
"op... |
"Problem Statement:\nThe diffusion coefficient of a particular kind of t-RNA molecule is $D=1.0 \\times 10^{-11} \\mathrm{~m}^2 \\mathrm{~s}^{-1}$ in the medium of a cell interior. How long does it take molecules produced in the cell nucleus to reach the walls of the cell at a distance $1.0 \\mu \\mathrm{m}$, correspon... | {
"stem_989": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.2 $10^{-2} \\mathrm{~s}$",
"opt_B": "2.0 $10^{-2} \\mathrm{~s}$",
"opt_C": "5.5 $10^{-2} \\mathrm{~s}$",
"opt_D": "1.7 $10^{-2} \\mathrm{~s}$",... |
"Problem Statement:\nA 1.6 ft long pipe with an inside diameter of 0.03 ft carries water moving at a rate of 18lbm/hr. Steam con-denses on the outside of the pipe, maintaining a constant inside surface temperature of 350°F. If the water enters at 40°F, determine the heat transfer coefficient and the outlet temperature ... | {
"stem_990": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "240°F",
"opt_B": "215°F",
"opt_C": "235°F",
"opt_D": "220°F",
"opt_E": "212°F",
"opt_F": "230°F",
"opt_G": "210°F",
"opt_... |
"Problem Statement:\nA 6 × 19 IPS rope of diameter 1 7/8 in. is used to lift a load of 8.0 tons from a depth of 760 ft. at a speed of 1500 fpm attained in 10 sec. Calculate the percentage increase in the starting load if a slack of 1 ft. is introduced on the rope." | {
"stem_991": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.58%",
"opt_B": "0.58%",
"opt_C": "2.58%",
"opt_D": "8.58%",
"opt_E": "1.58%",
"opt_F": "6.58%",
"opt_G": "9.58%",
"opt_... |
"Problem Statement:\nCalculate $\\Delta_{\\mathrm{r}} G^{\\ominus}(375 \\mathrm{~K})$ for the reaction $2 \\mathrm{CO}(\\mathrm{g})+\\mathrm{O}_2(\\mathrm{~g}) \\rightarrow 2 \\mathrm{CO}_2(\\mathrm{~g})$ from the values of $\\Delta_{\\mathrm{r}} G^{\\ominus}(298 \\mathrm{~K})$ : and $\\Delta_{\\mathrm{r}} H^{\\ominus}... | {
"stem_992": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-560 kJ mol^{-1}",
"opt_B": "-525 kJ mol^{-1}",
"opt_C": "-475 kJ mol^{-1}",
"opt_D": "-501$\\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
"opt_E": "... |
"Problem Statement:\nWhat is the distance between two Cs atoms in a unit cell, if a = 4.5°A?" | {
"stem_993": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.0A",
"opt_B": "2.25A",
"opt_C": "6.5A",
"opt_D": "7.0A",
"opt_E": "7.790A",
"opt_F": "10.0A",
"opt_G": "4.5A",
"opt_H":... |
"Problem Statement:\nA chemist decides to react 2 g of VO (vanadium oxide) with 5.75 g of Fe_2 O_3 to produce V_2 O_5 andFeO. How many grams of V_2 O_5 can be obtained?" | {
"stem_994": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.75 g",
"opt_B": "0.91 g",
"opt_C": "1.09 g",
"opt_D": "2.18 g",
"opt_E": "2.00 g",
"opt_F": "3.67 g",
"opt_G": "3.25 g",
... |
"Problem Statement:\nThe composition of dry air by volume is 78.1% N_2, 20.9% O_2 and 1% other gases. Calculate the partial pressures, in atmospheres, in a tank of dry air compressed to 10.0 atmospheres." | {
"stem_995": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "P_(N)2 = 6.81atm, P_(O)2 = 3.09atm, P_other gasses = .2 atm",
"opt_B": "P_(N)2 = 8.81atm, P_(O)2 = 1.09atm, P_other gasses = .3 atm",
"opt_C": "P_(N)2 ... |
"Problem Statement:\nThe molar volume of mercury at P = 0 and T = 273°K is 14.72 cm^3 mol^-1 , and the compressibility is \\beta = 3.88 × 10^-11 m^2 N^-1. If \\beta is assumed to be constant over the pressure range, calculate the free energy change for the compression of mercury from 0 to 3000 kg cm^-2." | {
"stem_996": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5500 Nm/mole",
"opt_B": "3900 Nm/mole",
"opt_C": "4700 Nm/mole",
"opt_D": "4500 Nm/mole",
"opt_E": "3200 Nm/mole",
"opt_F": "4300 Nm/... |
"Problem Statement:\nCompute the lowest natural frequency for an automobile enginespring. The spring is made of spring steel with 10 activecoils, mean diameter of 3.5 in. and wire diameter of 0.20in." | {
"stem_997": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15 cycles/sec",
"opt_B": "33 cycles/sec",
"opt_C": "22.5 cycles/sec",
"opt_D": "25.8 cycles/sec",
"opt_E": "18 cycles/sec",
"opt_F": ... |
"Problem Statement:\nConsider the reaction 2SO_2(g) + O_2(g) \\rightleftarrows 2SO_3(g) : Initially 0.100 moles of SO_2 and 0.100 moles of SO_3 are present in a 2.00 liter flask at a temperature of 27°C. Equilibrium is attained at a pressure of 2.78 atm. Calculate a) the mole fraction of O_2 at equilibrium; b)K_p; c) t... | {
"stem_998": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a) 0.130, b) 0.25, c) 70%",
"opt_B": "a) 0.107, b) 0.37, c) 68%",
"opt_C": "a) 0.120, b) 0.27, c) 71%",
"opt_D": "a) 0.105, b) 0.35, c) 65%",
... |
"Problem Statement:\nAt 25°C, the vapor pressure of water is increased from 30 to 31 mm Hg against an external pressure of 10 atm. If the vapor pressure is to be maintained at 30 mm Hg for 1 liter (55.5moles) of water at 25°C and 10atmpressure, a) How muchNaClis to be added to the water? b) What is the osmotic pressure... | {
"stem_999": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.904 moles of NaCl, 10 atm",
"opt_B": "0.950 moles of NaCl, 12 atm",
"opt_C": "1.022 moles of NaCl, 8 atm",
"opt_D": "0.800 moles of NaCl, 16 at... |
"Problem Statement:\nA solution of 20.0 g of a non-volatile solute in 100 g of benzene at 30°C has a vapor pressure 13.4 torr lower than the vapor pressure of pure benzene. What is the mole fraction of solute? Vapor pressure of benzene at 30°C = 121.8 torr." | {
"stem_1000": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.123",
"opt_B": "0.130",
"opt_C": "0.111",
"opt_D": "0.092",
"opt_E": "0.105",
"opt_F": "0.098",
"opt_G": "0.150",
"opt... |
"Problem Statement:\nArgon can be liquefied at low temperature because of" | {
"stem_1001": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "its atomic structure",
"opt_B": "covalent bonding",
"opt_C": "instantaneous and induced dipoles",
"opt_D": "metallic bonding",
"opt_E": "d... |
"Problem Statement:\nA vertical pipe 60 mm. internal diameter and 1.6 m long has 0.2 mm. thick water film at 293°K running down on the inside wall and air stream containing ammonia is flowing through the pipe. The interfacial mole fraction of ammonia is 0.0372. If the water at inlet is pure, determine the mass rate of ... | {
"stem_1002": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.9333 kg/hr",
"opt_B": "0.3810 m/sec",
"opt_C": "0.6222 kg/hr",
"opt_D": "55.41 k mole/m^3",
"opt_E": "0.0783 k mole/hr",
"opt_F": ... |
"Problem Statement:\nThe equation ΔH = ΔU + PΔV is applicable" | {
"stem_1003": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "only for constant pressure processes",
"opt_B": "only for exothermic reactions",
"opt_C": "only for irreversible processes",
"opt_D": "only for ... |
"Problem Statement:\nA plane wall of an oven consists of an inside layer of refractory brick 6 in. thick (k = 0.08 Btu/hr-ft-°F) followed by a 9 in. layer of common brick (k = 0.8 Btu/hr-ft-°F). If the temperature of the inner wall sur-face is 1800°F and that of the outer surface is 200°F, determine the rate of heat lo... | {
"stem_1004": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "300 Btu/hr-ft^2",
"opt_B": "400 Btu/hr-ft^2",
"opt_C": "180 Btu/hr-ft^2",
"opt_D": "150 Btu/hr-ft^2",
"opt_E": "350 Btu/hr-ft^2",
"o... |
"Problem Statement:\nAt the bottom of a cylindrical container is n-butanol. Pure air ispassed over the open top of the container. The pressure is 1atmand the temperature is 70°F. The diffusivity of air-n-butanolis 8.57 × 10^-6 m^2/sec at the given conditions. If the surface of n-butanolis 6.0 ft below the top of the co... | {
"stem_1005": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.75 × 10^-9kgmol/ m^2-sec",
"opt_B": "2.00 × 10^-9 kgmol/m^2-sec",
"opt_C": "1.90 × 10^-9 kgmol/m^2-sec",
"opt_D": "1.60 × 10^-9 kgmol/m^2-sec"... |
"Problem Statement:\nTwoequimolarsolutions A and B with equal volume of solutions are mixed together and the reaction A + B = C takes place. After 1 hr, A is 75% reacted. Calculate how much of A will not react after 2 hrs if a) the reaction is first order in A and zero order in B. b) the reaction is first order in both... | {
"stem_1006": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a) 6.26%, b) 14.3%, c) 0%",
"opt_B": "a) 3.125%, b) 10.8%, c) 18.75%",
"opt_C": "a) 5%, b) 15%, c) 25%",
"opt_D": "a) 11%, b) 22%, c) 44%",
... |
"Problem Statement:\nA 1-Mc/sec (300 meters wavelength) plane wave traveling in a normally dispersive, lossless medium has a phase velocity at this frequency of 3 × 10^8 meters/sec. The phase velocity as a function of wavelength is given by v =k\\surd\\lambda where k = constant. Find the group velocity." | {
"stem_1007": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.5 × 10^8 meters/sec",
"opt_B": "2.25 × 10^8 meters/sec",
"opt_C": "2 × 10^8 meters/sec",
"opt_D": "3 × 10^8 meters/sec",
"opt_E": "0.5 ×... |
"Problem Statement:\nFind the homogeneous solution to a differential equation for the voltage,v_C(t) across a (4/3)F, capacitor in a series RLC circuit where R = 1\\Omega, L = (1/4)H,i_L(0) = 4A, andv_C(0) = O." | {
"stem_1008": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "e^-(t/2) - e^-(3t/2)V",
"opt_B": "(2/3) (e^-3t - e^-t)V",
"opt_C": "(4/3) (e^-t - e^-2t)V",
"opt_D": "(3/2) (e^-4t - e^-t)V",
"opt_E": "(3... |
"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.\nSilylene $\\left(\\mathrm{SiH}_2\\right)$ is a key intermediate in the thermal decomposition of silicon hydrides such as silane $\\left(\\mathrm{SiH}... | {
"stem_1009": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "275$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_B": "265$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "185$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_D"... |
"Problem Statement:\nFind A^\\ding{217} - B^\\ding{217} for the phasors A^\\ding{217} = 30\\angle60° B^\\ding{217} = 21 (cos 160° - j sin 160°)." | {
"stem_1010": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "46∠47 degrees",
"opt_B": "52∠42 degrees",
"opt_C": "48∠45 degrees",
"opt_D": "50∠43.6 degrees",
"opt_E": "51∠40 degrees",
"opt_F": "... |
"Problem Statement:\nThe specific rotation [(\\alpha)^25°_D] of L-alanine is + 1.8. The specific rotation [(\\alpha)^25°_D] of L-alanine is + 1.8. Calculate the observed rotation of a 1.10 M solution in a 2.5-dm polarimeter tube at 25°C." | {
"stem_1011": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.20°",
"opt_B": "1.76°",
"opt_C": "5.28°",
"opt_D": "3.96°",
"opt_E": "0.44°",
"opt_F": "4.40°",
"opt_G": "0.22°",
"opt... |
"Problem Statement:\nSolid silver has a heat capacity given by the following equation: C_p(cal mole^-1deg^-1) = - 0.023T + 2.5(10^-3)T^2 -1.9(10^-5)T^3 This expression is valid for 273 \\leq T \\leq 333°C. Calculate the changein entropy when one mole of solid silver is heated from273°C to 333°C." | {
"stem_1013": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.023eu/mole",
"opt_B": "1.75eu/mole",
"opt_C": "0.000019eu/mole",
"opt_D": "2.3eu/mole",
"opt_E": "0.25eu/mole",
"opt_F": "1.25eu/m... |
"Problem Statement:\nDetermine the inverse Laplace transform of F(s), where F(s) is given by F(s) = [(3s + 1) / {(s - 1)(s^2 + 1)}]" | {
"stem_1014": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3e^t + sin t - cos t",
"opt_B": "e^t - cos t + sin t",
"opt_C": "e^t - sin t - cos t",
"opt_D": "e^t + cos t - 2 sin t",
"opt_E": "3e^t - ... |
"Problem Statement:\nThe 1H spectrum of a mixture of dimethylsulphoxide (DMSO) and acetonitrile (AN) contains lines with relative intensities α and 3α, respectively. What is the ratio of the two concentrations, [DMSO]:[AN]?" | {
"stem_1015": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3:2",
"opt_B": "1:6",
"opt_C": "1:9",
"opt_D": "1:1",
"opt_E": "2:3",
"opt_F": "1:3",
"opt_G": "3:1",
"opt_H": "2:1",
... |
"Problem Statement:\nA 4 in. schedule 40 wrought iron pipe is covered with 2 in. thick layer of magnesia insulation (k = 0.041 Btu/hr-ft-°F) and 1(1/4) in. thickness of glass wool (k = 0.032 Btu/hr-ft-°F). If the outer surface of the pipe is at 700°F and the outer surface of the glass wool insulation is at 100°F, deter... | {
"stem_1016": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "175.9 Btu/(hr)(ft. of pipe)",
"opt_B": "190.3 Btu/(hr)(ft. of pipe)",
"opt_C": "160.2 Btu/(hr)(ft. of pipe)",
"opt_D": "220.8 Btu/(hr)(ft. of pi... |
"Problem Statement:\nIf 4 cards are drawn at random and without replacement from a deck of 52 playing cards, what is the chance of drawing the 4 aces as the first 4 cards?" | {
"stem_1017": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".000057",
"opt_B": ".000037",
"opt_C": ".000107",
"opt_D": ".000077",
"opt_E": ".000007",
"opt_F": ".000097",
"opt_G": ".00002... |
"Problem Statement:\nTwo infinite parallel metal plates are charged with equal surface charge density of the same polarity. The electric field in the gap between the plates is" | {
"stem_1018": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "inversely proportional to the distance between the plates.",
"opt_B": "quadruple the field produced by one plate.",
"opt_C": "zero.",
"opt_D": "... |
"Problem Statement:\nA buffer is made from equal concentrations of a weak acid and its conjugate base. Doubling the volume of the buffer solution by adding water has what effect on its pH?" | {
"stem_1019": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "It causes the pH to fluctuate unpredictably.",
"opt_B": "It causes the pH to equalize with the water's pH.",
"opt_C": "It causes the pH to become extr... |
"Problem Statement:\nA sulfuric acid solution has a density of 1.8 g/ml and is 90% H_2SO_4 by weight. What weight of H_2SO_4, is present in 1000 ml of the solution? What is themolarityof the solution? the normality?" | {
"stem_1020": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1260 g, 12.8 M, 25.6 N",
"opt_B": "1440 g, 14.4 M, 28.8 N",
"opt_C": "900 g, 9.1 M, 18.2 N",
"opt_D": "1500 g, 15.0 M, 30.0 N",
"opt_E": "... |
"Problem Statement:\nA copper penny weighs 3.1 g. It contains equal amounts of positiveand negative electricity. What is the magnitude qof thesecharges? A copper atom has a positive nuclear charge of4.6 × 10^-18 C and a negative electronic charge of equal magnitude. For copper M = 64g/mol." | {
"stem_1021": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.0 × 10^23C",
"opt_B": "9.2 × 10^-18C",
"opt_C": "2.4 × 10^4C",
"opt_D": "2.9 × 10^22C",
"opt_E": "3.1 × 10^6C",
"opt_F": "5.0 × 10... |
"Problem Statement:\nA cast iron pipe of 4 in. inside diameter and 4.5 in. outside diameter is insulated with 3/4 in. layer of glass wool. The inside surface of the pipe is at 400°F and the glass wool outer surface is at 90°F. Determine the steady state heat transfer rate per foot length of the pipe. The thermal conduc... | {
"stem_1022": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "220.5 Btu/hr-ft",
"opt_B": "190.22 Btu/hr-ft",
"opt_C": "216.56 Btu/hr-ft",
"opt_D": "200 Btu/hr-ft",
"opt_E": "205.75 Btu/hr-ft",
"... |
"Problem Statement:\nA three-phase rectifier is supplied by delta-star-connected transformers with an equivalent leakage reactance per Y-leg of 0.25 ohm. The effective voltage from one secondary leg is 100 volts. The load current is 100 amperes. Calculate the drop due to the effect of overlap on the wave shape, and als... | {
"stem_1023": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Drop = 11.9 volts, Angle of overlap = 37°21'",
"opt_B": "Drop = 11.0 volts, Angle of overlap = 38°00'",
"opt_C": "Drop = 11.5 volts, Angle of overlap ... |
"Problem Statement:\nWhat is the strength (B1) of a 13C 90° pulse of duration 1 μs?" | {
"stem_1024": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15.4 mT",
"opt_B": "25.7 mT",
"opt_C": "5.18 mT",
"opt_D": "23.3 mT",
"opt_E": "2.15 mT",
"opt_F": "7.98 mT",
"opt_G": "3.72 m... |
"Problem Statement:\nA combinational PLD with a fixed AND array and a programmable OR array is called a" | {
"stem_1025": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "ROM",
"opt_B": "FPGA",
"opt_C": "PLA",
"opt_D": "PLD",
"opt_E": "EEPROM",
"opt_F": "PAL",
"opt_G": "RAM",
"opt_H": "PROM... |
"Problem Statement:\nWhat is the pH of a solution made by dissolving 0.0300 mol of sodium ethanoate in enough water to make 50 mL of solution (Ka for ethanoic acid is 1.8 × 10^-5)?" | {
"stem_1026": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11.02",
"opt_B": "6.44",
"opt_C": "10.04",
"opt_D": "2.5",
"opt_E": "12.8",
"opt_F": "4.74",
"opt_G": "8.15",
"opt_H": "... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. A sample consisting of $3.00 \\mathrm{~mol}$ of diatomic perfect gas molecules at $200 \\mathrm{~K}$ is compressed reversibly and adiabatically until its temperature reaches $250 \\mathrm{~K}$. Given that $C_... | {
"stem_1027": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0 ",
"opt_B": "-150 $\\mathrm{J}$",
"opt_C": "-50 $\\mathrm{J}$",
"opt_D": "275 $\\mathrm{J}$",
"opt_E": "150 $\\mathrm{J}$",
"opt_F... |
"Problem Statement:\nThe armature of a 230-volt shunt motor has a resistance of 0.18 ohm. If the armature current is not to exceed 76 amp, calculate: (a) the resistance that must be inserted in series with the armature at the instant of starting; (b) the value to which this resistance can be reduced when the armature a... | {
"stem_1028": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 3.05 ohms, (b) 0.65 ohm, (c) 1,278 amp",
"opt_B": "(a) 1.8 ohms, (b) 0.8 ohm, (c) 1,100 amp",
"opt_C": "(a) 3.1 ohms, (b) 0.75 ohm, (c) 1,500 amp"... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. A sample of carbon dioxide of mass $2.45 \\mathrm{~g}$ at $27.0^{\\circ} \\mathrm{C}$ is allowed to expand reversibly and adiabatically from $500 \\mathrm{~cm}^3$ to $3.00 \\mathrm{dm... | {
"stem_1029": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-172 $\\mathrm{~J}$",
"opt_B": "-160 $\\mathrm{~J}$",
"opt_C": "-210 $\\mathrm{~J}$",
"opt_D": "-155 $\\mathrm{~J}$",
"opt_E": "-240 $\\ma... |
"Problem Statement:\nSuppose a rain cloud has a water volume of 10^5 liters. If the cloud forms over a chemical factory which puts SO_3 into the air and each SO_3 molecule bonds with one out of 10^4 H_2O molecules (to form H_2SO_4), what is the molarity of the H_2SO_4 in the cloud?" | {
"stem_1030": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.0 × 10^-3 M",
"opt_B": "1.0 × 10^-3 M",
"opt_C": "4.0 × 10^-3 M",
"opt_D": "8.5 × 10^-3 M",
"opt_E": "2.5 × 10^-3 M",
"opt_F": "9.... |
"Problem Statement:\nThe pressure and Mach number of helium flowing through a channelat a certain point are found to be P = 30psiaand M = 1.5. At a point further downstream the pressure is 15psia.Assuming isentropic flow through the channel, determinethe Mach number at the second point. Assume \\gamma = 1.67. One-Dimen... | {
"stem_1032": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.80",
"opt_B": "1.65",
"opt_C": "0.75",
"opt_D": "1.98",
"opt_E": "2.05",
"opt_F": "2.5",
"opt_G": "1.25",
"opt_H": "0.... |
"Problem Statement:\nA plate loses heat to a stream of air by convection. The plate is2 ft. in length, and it is initially at a surface temperature of 500°F.The ambient air temperature is 100°F, and the air flowrate is observed to be 150 ft/sec. Assuming a unit (1 ft.) width, calculate (a)theheat transferred from the l... | {
"stem_1033": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 1,800 Btu/hr, (b) 6500 Btu/hr, (c) 14,500 Btu/hr, (d) 55%",
"opt_B": "(a) 2,900 Btu/hr, (b) 8100 Btu/hr, (c) 18,000 Btu/hr, (d) 75%",
"opt_C": "(a... |
"Problem Statement:\n(i) (a) A triplex lap-wound armature is used in a 14-pole machine with fourteen brush sets, each spanning three commutator bars. Calculate the number of paths in the armature. (b) Repeat (a) for a triplex wave-wound armature having two such brush sets and 14 poles. (ii) Calculate the generated emf ... | {
"stem_1034": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "35 paths; 5 paths; 200 V; 1500 V",
"opt_B": "50 paths; 3 paths; 245 V; 1750 V",
"opt_C": "44 paths; 12 paths; 210 V; 1550 V",
"opt_D": "38 paths... |
"Problem Statement:\nAssuming complete ionization, calculate (a) the pH of 0.0001 NHCl, .(b) thepOHof 0.0001 N KOH." | {
"stem_1035": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "pH is 10, pOH is 4",
"opt_B": "pH is 4, pOH is 10",
"opt_C": "pH is 3, pOH is 3",
"opt_D": "pH is 4, pOH is 4",
"opt_E": "pH is 1, pOH is ... |
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