state unknown | questions unknown |
|---|---|
"Problem Statement:\nCalculate the uncertainty $\\Delta L_z$ for the hydrogen-atom stationary state: $2 p_z$." | {
"stem_1036": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1",
"opt_B": "0.75",
"opt_C": "2",
"opt_D": "4",
"opt_E": "0.5",
"opt_F": "3",
"opt_G": "0",
"opt_H": "2.5",
"opt_... |
"Problem Statement:\nCalculate the number of liters in one cubic meter." | {
"stem_1037": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "750 liters",
"opt_B": "10 liters",
"opt_C": "5,000 liters",
"opt_D": "500 liters",
"opt_E": "1,000 liters",
"opt_F": "100 liters",
... |
"Problem Statement:\nEvaluate the force on the spring of a cone-clutch delivering a torqueof 2000 lbs.-in. The mean diameter for the disc is 18 in., the clutch angle is 10° and the coefficient of friction is 0.30." | {
"stem_1038": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100 lbs",
"opt_B": "175 lbs",
"opt_C": "128.6 lbs",
"opt_D": "110.5 lbs",
"opt_E": "85 lbs",
"opt_F": "150 lbs",
"opt_G": "200... |
"Problem Statement:\nThe ionization constant of lactic acid at 25°C is 1.4 × 10^-4 . A buffer solution is prepared by adding 1.00 mole of lactic acid and 0.80 mole of sodium lactate to 1 kg of water. Assume that water is at unit activity and that the activity coefficient of each univalent ion is 0.65 throughout this pr... | {
"stem_1039": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.47, 4.17, 13.412",
"opt_B": "4.17, 4.77, 14.212",
"opt_C": "3.87, 4.47, 13.812",
"opt_D": "2.87, 3.47, 12.912",
"opt_E": "3.07, 3.67, 13... |
"Problem Statement:\nWhat is the total binding energy of _6C^12 and the average binding energy per nucleon?" | {
"stem_1040": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "98MeV and 8.17MeV",
"opt_B": "100MeV and 8.33MeV",
"opt_C": "92.22MeV and 7.68MeV",
"opt_D": "110MeV and 9.17MeV",
"opt_E": "85MeV and 7Me... |
"Problem Statement:\nA spherical shell of cast iron having an inside radius 2.5 in. and outside radius 6 in., contains a solution which liberates heat at the rate of 0.8 × 10^5 Btu/hr. The outside surface of the shell is held at 120°F. Assuming that the steady state conditions prevail and that the thermal conductivity ... | {
"stem_1041": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "176°F",
"opt_B": "172°F",
"opt_C": "160°F",
"opt_D": "185°F",
"opt_E": "150°F",
"opt_F": "158°F",
"opt_G": "180°F",
"opt... |
"Problem Statement:\nFind the homogeneous solution to a differential equation for thevoltagev_C(t) across a (1 / 2)F capacitor in a series RLC circuitwhere R = 4\\Omega, L = 4H,i_L(0) = (1 / 4) A, andv_C(0) = 0." | {
"stem_1042": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "e-(1/2)tcos(1t) at V",
"opt_B": "e-(1/4)tsin (1 / 2) at V",
"opt_C": "e-(1/2)tsin (1) at V",
"opt_D": "e-(1/4)tcos(2t) at V",
"opt_E": "e-... |
"Problem Statement:\nOne curie is defined as the amount of material, which is equivalent to one gram of radium, that gives 3.7 × 10^10 nuclear disintegrations per second. The half-life of ^210At is 8.3 hr. How many grams of astatine (At) would equal one curie?" | {
"stem_1043": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9.84 × 10^-7 g",
"opt_B": "3.29 × 10^-7 g",
"opt_C": "1.23 × 10^-6 g",
"opt_D": "7.71 × 10^-7 g",
"opt_E": "4.15 × 10^-7 g",
"opt_F"... |
"Problem Statement:\nIf E = 5 volts/meter is the amplitude of an incident plane wave which is reflected at normal incidence from a boundary surface and E_1 is the amplitude of the reflected wave, find: (a) Under what conditions is there a pure standing wave? (b) The standing wave ratio when E_1 = 1/10 volt/meter. (c) T... | {
"stem_1044": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) E_1 = - 3 volt/meter, (b) VSWR = 1.5, (c) E_max = 6.5 volts, E_min = 3.5 volts",
"opt_B": "(a) E_1 = - 2 volt/meter, (b) VSWR = 1.25, (c) E_max = 6 volt... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the Carnot efficiency of a modern steam turbine that operates with steam at $300^{\\circ} \\mathrm{C}$ and discharges at $80^{\\circ} \\mathrm{C}$." | {
"stem_1045": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.33",
"opt_B": "0.25",
"opt_C": "0.45",
"opt_D": "0.60",
"opt_E": "0.55",
"opt_F": "0.40",
"opt_G": "0.42",
"opt_H": "0... |
"Problem Statement:\nPropane is burned in 100% excess air. Combustion is completeand takes place at 100kPa. Determine (a) the dew-pointtemperature of the products of combustion and (b)themoles of H_2O condensed per mole of fuel burned, if theproducts of combustion are cooled to 25°C." | {
"stem_1046": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "50°C and 3.0kmolH_2O/kmolC_3H_8",
"opt_B": "52°C and 2.0 kmol H2O/kmol C3H8",
"opt_C": "30°C and 3.5 kmol H2O/kmol C3H8",
"opt_D": "38°C and 2.8... |
"Problem Statement:\nAn ideal gas mixture consists of 1 mole of oxygen and moles of nitrogen at 90°F and 13.5psia. (a) If each constituent gas is assigned a datum-state value of zero entropy at 14.7psiaand 0°F calculate the entropy of the mixture. (b) Determine the change in internal energy and entropy if the mixture i... | {
"stem_1047": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Entropy of the mixture = 7.04 Btu/°R, Change in internal energy = -748 Btu, Change in entropy = -1.526 Btu/°R",
"opt_B": "Entropy of the mixture = 9.04 Btu/... |
"Problem Statement:\npara-dichlorobenzene is used as \"mothballs.\" This compound can also be named" | {
"stem_1049": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1,4-dichlorobenzene",
"opt_B": "2,6-dichlorobenzene",
"opt_C": "1,5-dichlorobenzene",
"opt_D": "1,2-dichlorobenzene",
"opt_E": "3,4-dichlo... |
"Problem Statement:\nBaking powder consists of a mixture of cream of tartar (potassium hydrogen tartrate, KHC_4 H_4 O_6, molecular weight = 188 g/mole) and baking soda (sodium bicarbonate, NaHC0_3, molecular weight = 84 g/mole). These two components react according to the equation KHC_4 H_4 O_6 + NaHCO_3 \\rightarrow K... | {
"stem_1050": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.8 g of baking soda",
"opt_B": "5.1 g of baking soda",
"opt_C": "6.2 g of baking soda",
"opt_D": "3.2 g of baking soda",
"opt_E": "7.0 g ... |
"Problem Statement:\nThere is an isolated positive point charge which has a value of 5 × 10^-10 coulombs. What is the magnitude of E and D at a distance of 30 cm when the charge is located (a) in air; (b) in a large tank of glycerin (\\epsilon_r= 50)?" | {
"stem_1051": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "E = 55 volts/meter and D = 5.00 × 10^-10 coulomb/meter^2 in air, E = 1.1 volts/meter and D = 4.98 × 10^-10 coulomb/meter^2 in glycerin",
"opt_B": "E = 60 vo... |
"Problem Statement:\nA copper pipe (1 in. O.D., 0.88 in. I.D. and k = 220 Btu/hr-ft-°F) carries process steam 212°F through a room at 60°F. The heating cost of steam is 0.05 cents/ Btu. The pipe is insulated with 85% magnesia (0.57 in. thick and k = 0.038 Btu/hr-ft-°F) at a cost of $3.25 per foot. Estimate the payback ... | {
"stem_1052": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "65 hours",
"opt_B": "77 hours",
"opt_C": "70 hours",
"opt_D": "52 hours",
"opt_E": "84 hours",
"opt_F": "48 hours",
"opt_G": "... |
"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_1053": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+3.25 kJ",
"opt_B": "+4.00 kJ",
"opt_C": "+1.98 kJ",
"opt_D": "+4.50 kJ",
"opt_E": "+3.50$\\text{kJ}$",
"opt_F": "+2.50$\\text{kJ}$"... |
"Problem Statement:\nDesign a steel bar to withstand an axial load of 5500 lbs. based on the Euler load. Assume a factor of safety of 2.5; the length of the column is 222 in." | {
"stem_1054": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1 5/8 inches",
"opt_B": "2 inches",
"opt_C": "1 1/2 inches",
"opt_D": "1 3/4 inches",
"opt_E": "2 1/4 inches",
"opt_F": "1 1/4 inche... |
"Problem Statement:\nAnalysis of the exhaust composition of the supersonic transport for one hour of flight yielded the following information: Compound Molecular Weight (g/mole) Mass (g) H_2O 18 8.0 × 10^7 CO_2 44 6.6 × 10^7 CO 28 3.6 × 10^6 NO 30 3.6 × 10^6 Determine the mole fraction of CO_2 in this mixture." | {
"stem_1055": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.28",
"opt_B": "0.10",
"opt_C": "0.20",
"opt_D": "0.40",
"opt_E": "0.35",
"opt_F": "0.18",
"opt_G": "0.30",
"opt_H": "0... |
"Problem Statement:\nTwo thousand signals are sampled atNyquistrate by the sampling function S(t) = I ^\\infty\\sum_n=-\\infty [t - (1 /f_s) n] wheref_sis the sampling rate. The signals are then time-division multiplexed. If each signal has a bandwidth of 5 kHz, calculate the sampling time T_s and determine\\tau_maxfor... | {
"stem_1056": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "T_s = 2 × 10^-3 sec, \\tau_max = 1.0 × 10^-6 sec",
"opt_B": "T_s = 1 × 10^-2 sec, \tau_max = 0.5 × 10^-5 sec",
"opt_C": "T_s = 2 × 10^-4 sec, \\tau_ma... |
"Problem Statement:\nThe dissociation sequence of thepolyproticacid H_3PO_4 showsthreeBronsted-Lowry acids. Rank them in order of decreasingstrengths." | {
"stem_1057": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "H_2PO_4^-, HPO_4^2-, H_3PO_4",
"opt_B": "HPO_4^-2 , H_3PO_4 , H_2PO_4^-",
"opt_C": "HPO_4^2-, H_2PO_4^-, H_3PO_4",
"opt_D": "H_2PO_4^-, H_3PO_4,... |
"Problem Statement:\nA spherical shell of paraffin is contained between two spherical conductors. The inner sphere has a radius of 0.60 meter, and the inner radius of the outer sphere is 0.70 meter. (a) What is the capacitance of the space between the conductors? (b) What is the largest electric potential difference wh... | {
"stem_1058": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.00085 microfarad, 60 × 10^6 volts, 68 × 10^3 joules, 6.0 seconds",
"opt_B": "0.00125 microfarad, 42 × 10^6 volts, 52 × 10^3 joules, 4.3 seconds",
"o... |
"Problem Statement:\nThe valve on a cylinder containing initially 10 liters of an ideal gas at 25atmand 25°C is opened to the atmosphere, where the pressure is 760torrand the temperature is 25°C. Assuming that the process is isothermal, how much work in liter atmospheres is done on the atmosphere by the action of expan... | {
"stem_1059": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "260 liter-atm",
"opt_B": "200 liter-atm",
"opt_C": "270 liter-atm",
"opt_D": "240 liter-atm",
"opt_E": "220 liter-atm",
"opt_F": "25... |
"Problem Statement:\nCalculate the yield, the threshold energy and the project-ile energy for the reaction (^23 _11)Na [(^3 _1)H , ^1n] (^25 _12)Mg with the masses equal to 22.9898, 3.01605, 1.008665 and 24.98584, respectively." | {
"stem_1060": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Yield: 8.65MeV, Threshold energy: 9.89MeV, Projectile energy: 10.59MeV",
"opt_B": "Yield: 10.59MeV, Threshold energy: 11.22MeV, Projectile energy: 9.89MeV",... |
"Problem Statement:\nA pipe is cooled internally by forced convection from the flow of a non-Newtonian fluid. The pipe is 5 ft. long, with a diameter of 1 in. The flow is measured at 600Ibm/hr, and the wall surface temperature is 200°F. Assume it is a laminar flow of a power-law fluid. Physical and flow properties are:... | {
"stem_1061": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "140°F",
"opt_B": "170°F",
"opt_C": "120°F",
"opt_D": "160°F",
"opt_E": "115°F",
"opt_F": "110°F",
"opt_G": "200°F",
"opt... |
"Problem Statement:\nCarbon monoxide burns with astoichiometricamount of air asdescribed by the following equation: CO(g) + (1/2) [O_2 + 3.76N_2](g) = CO_2(g) + 1.88N_2(g) Initially, the carbon monoxide and air are @ STP. Determine theadiabatic flame temperature for this combustion. Use the followingdata to solve the p... | {
"stem_1062": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3,600°F",
"opt_B": "3,200°F",
"opt_C": "2,923°F",
"opt_D": "2,500°F",
"opt_E": "3,000°F",
"opt_F": "4,400°F",
"opt_G": "4,500°... |
"Problem Statement:\nCalculate the molecular translational partition functions in a volume of 1 cm^3 at 298°K for the following molecules a) H_2,b) CH_4,c) C_8H_18." | {
"stem_1063": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "H_2: 2.450 × 10^24, CH_4: 6.075 × 10^25, C_8H_18: 1.373 × 10^27",
"opt_B": "H_2: 4.000 × 10^24, CH_4: 8.175 × 10^25, C_8H_18: 3.173 × 10^27",
"opt_C":... |
"Problem Statement:\nIf v(t) = 10e^-4t u(t), andV_ab(s) is related to V(s) by V_ab(s) = [{3V(s) + 3s + 27} / (s^2 + 6s + 8)], formulateV_ab(t)." | {
"stem_1064": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "V_ab(t) = - 15te^-4t - 15e^-4t + 18e^-2t",
"opt_B": "V_ab(t) = 15te^-4t - 15e^-4t + 18e^-2t",
"opt_C": "V_ab(t) = 30te^-4t + 30e^-4t - 36e^-2t",
... |
"Problem Statement:\nPredict the hyperfine value for the EPR spectrum of fully deuteriated benzene radical anion C6D6•-." | {
"stem_1065": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.35 mT",
"opt_B": "1.17 G",
"opt_C": "0.117 mT",
"opt_D": "0.235 G",
"opt_E": "5.80 mT",
"opt_F": "0.58 G",
"opt_G": "3.75 G"... |
"Problem Statement:\nUse the quadratic formula to solve for x in the equation x^2 - 5x + 6 = 0." | {
"stem_1066": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "x = -1 and x = 6",
"opt_B": "x = 0 and x = 6",
"opt_C": "x = 1 and x = 2",
"opt_D": "x = 3 and x = 2",
"opt_E": "x = 1 and x = 6",
"... |
"Problem Statement:\nCalculate the total electric potential energy of a thin spherical conducting shell of radius R and carrying charge q." | {
"stem_1067": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "{2q^2 / (4\\pi\\epsilon_0R)} joules",
"opt_B": "{q^2 / (2\\pi\\epsilon_0R)} joules",
"opt_C": "{q^2R / (4\\pi\\epsilon_0)} joules",
"opt_D": "{q... |
"Problem Statement:\nA medicalampulecontaining dextrose (liquid water) at 1000psia, 100°F and having a volume of 0.3 in^3 is placed in a cylinder having a volume of 1 ft^3. A vacuum is created in the cylinder and the capsule is broken. Dextrose now evaporates and fills the cylinder. a) Calculate the final quality of th... | {
"stem_1068": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.15, 3 Btu",
"opt_B": "0.33, 1.5 Btu",
"opt_C": "0.7, 4 Btu",
"opt_D": "0.4, 6 Btu",
"opt_E": "0.1, 5 Btu",
"opt_F": "0.264, 2.79 B... |
"Problem Statement:\nIf log_10 3 = .4771 and log_104 = .6021, find log_10 12." | {
"stem_1069": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".3771 + .6021",
"opt_B": ".4770 + .6021",
"opt_C": ".4771 + .6011",
"opt_D": ".4771 + .6021",
"opt_E": ".4771 + .7021",
"opt_F": ".5... |
"Problem Statement:\nThe equation for the burning of naphthalene is C_10H_8 (s) + 12O_2(g) \\rightarrow1OCO_2 + 4H_2 O (l). For every mole of C_10H_8 burned, - 1226.7 Kcal is evolved at 25° in a fixed- volume combustion chamber. ∆H° for H_2O(l) = - 64.4 Kcal/mole and H_2O (g) = - 57.8 Kcal/mole. Calculate (a) the heat ... | {
"stem_1070": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 1200 Kcal/mole, - 1150 Kcal/mole",
"opt_B": "- 1250 Kcal/mole, - 1230 Kcal/mole",
"opt_C": "- 1227.9 Kcal/mole, - 1185.5 Kcal/mole",
"opt_D": ... |
"Problem Statement:\nAt 20°C the standarde.m.f. of the cell Hg\\vertHg_2Cl_2 (s),HCl(aq)\\vertH_2, Pt is 0.2692 V and at 30°C it is 0.2660 V. Find the values of \\DeltaG_m °,\\DeltaH_m°, and\\DeltaS_m° at 25°C." | {
"stem_1071": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\DeltaG_m° = -25.98 kJ mol^-1, \\DeltaS_m° = -31.00JK^-1 mol^-1, \\DeltaH_m° = -25.82 kJ mol^-1",
"opt_B": "\\DeltaG_m° = -24.00 kJ mol^-1, \\DeltaS_m° = 2... |
"Problem Statement:\nChlorine is found in nature in two isotopic forms, one of atomic mass 35amuand one of atomic mass 37amu. The average atomic mass of chlorine is 35.453amu. What is the percent with which each of these isotopes occurs in nature?" | {
"stem_1072": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "90%, 10%",
"opt_B": "65%, 35%",
"opt_C": "77.35%, 22.65%",
"opt_D": "50%, 50%",
"opt_E": "60%, 40%",
"opt_F": "75%, 25%",
"opt... |
"Problem Statement:\nIf 1 mole of HCI and 1 mole of NaC_2H_3O_2 are mixed in enoughwater to make one liter of solution, what will be the concentrationsof the species in the final equi-librium? K_diss=1.8 × 10^-5 for NaC_2H_3O_2." | {
"stem_1073": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "[H^+] = .010 M, [C_2H_3O_2^-] = .990 M, [HC_2H_3O_2] = .010 M",
"opt_B": "[H^+] = .980 M, [C_2H_3O_2^-] = .020 M, [HC_2H_3O_2] = .020 M",
"opt_C": "[H... |
"Problem Statement:\nCalculate the diameter of a steel bar to resist the impact of a 550 lb. weight dropped through a distance of 4 in. The bar is madeof steel and is 14 in. in length. Assume a design stress of22,000 psi." | {
"stem_1074": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4 in",
"opt_B": "4.5 in",
"opt_C": "2.5 in",
"opt_D": "5 in",
"opt_E": "7 in",
"opt_F": "6 in",
"opt_G": "3.5 in",
"opt_... |
"Problem Statement:\nAlthough all electrons spin, only molecules containing unpairedelectrons - only free radicals - giveesrspectra. Why is this? (Hint: Consider the possibility (a)thatone electron of a pair has its spin reversed, or (b)thatboth electrons of a pair have their spins reversed.)" | {
"stem_1075": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Electron pairs have a net magnetic moment",
"opt_B": "Only electrons in the outermost shell contribute to the magnetic moment, regardless of pairing",
... |
"Problem Statement:\nThere exists the equilibrium CO_2 + 2H_2O \\rightleftarrows H_3O^+ + HCO_3^-. The K_a = 4.3 × 10^-7 and pH = 7.40. Find the ratio of a concentrations of bicarbonate (HCO_3^-) to carbon dioxide (CO_2)." | {
"stem_1076": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.90",
"opt_B": "10.75",
"opt_C": "8.35",
"opt_D": "11.20",
"opt_E": "6.80",
"opt_F": "12.45",
"opt_G": "4.50",
"opt_H":... |
"Problem Statement:\nA 25 g sample of a liquid was heated to 100 °C and then quickly transferred to an insulated container holding 100 g of water at 22 °C. The temperature of the mixture rose to reach a final temperature of 35 °C. Which of the following can be concluded?" | {
"stem_1077": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The final temperature is less than the average starting temperature of the sample and the water; therefore the total energy of the sample and water decreased.",
... |
"Problem Statement:\nThe following reaction 2H_2S(g) \\rightleftarrows 2H_2(g) + S_2(g) was allowed to proceed to equilibrium. The contents of the two-liter reaction vessel were then subjected to analysis and found to contain 1.0 mole H_2S, 0.20 mole H_2, and 0.80 mole S_2 . What is the equilib-rium constant K for this... | {
"stem_1078": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.004",
"opt_B": "0.100",
"opt_C": "0.016",
"opt_D": "0.050",
"opt_E": "0.040",
"opt_F": "0.010",
"opt_G": "0.030",
"opt... |
"Problem Statement:\nA circular coil of diameter 20 mm is mounted with the plane of the coil perpendicular to the direction of a uniform magnetic flux density of 100mT. Find the total flux threading the coil." | {
"stem_1079": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "62.8 µWb",
"opt_B": "50 µWb",
"opt_C": "40 µWb",
"opt_D": "25 µWb",
"opt_E": "31.4 µWb",
"opt_F": "15.7 µWb",
"opt_G": "10 µWb... |
"Problem Statement:\nFind the variance of the random variable X + b where X has variance,VarX and b is a constant." | {
"stem_1080": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2bE(X)",
"opt_B": "E(X^2) - [E(X)]^2",
"opt_C": "2VarX + b",
"opt_D": "VarX - b^2",
"opt_E": "VarX + 2bVarX",
"opt_F": "VarX + bE(X)... |
"Problem Statement:\nCalculate the energy change, \\DeltaE, for the reaction H_2(g) +(1/2)O_2(g) = H_2O(liq)(1) Given that the heat of combustion of H_2(g) at 1atmand 25°C is - 68.32 kcal mol^-1 . Pressure is constant and water has a density of 1.00 × 10^3 kg m^-3 ." | {
"stem_1081": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 340.8 kJ",
"opt_B": "- 570.0 kJ",
"opt_C": "+ 68.32 kJ",
"opt_D": "+ 285.9 kJ",
"opt_E": "- 282.2 kJ",
"opt_F": "- 150.5 kJ",
... |
"Problem Statement:\nCalculate the normality of a solution containing 2.45 g of sulfuric acid in 2.00 liters of solution. (MW of H_2SO_4 = 98.1.)" | {
"stem_1082": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.0125 equiv/liter",
"opt_B": "0.060 equiv/liter",
"opt_C": "0.050 equiv/liter",
"opt_D": "0.100 equiv/liter",
"opt_E": "0.125 equiv/liter... |
"Problem Statement:\nGiven the bandwidth BW = (2\\beta + 1)f_m used for a space communication system, where \\beta is the modulation index. If \\beta = 0.2 and 5, determine the fraction of the signal power-passed by the filter." | {
"stem_1083": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.60 or 60%, 0.95 or 95%",
"opt_B": "0.47 or 47%, 0.70 or 70%",
"opt_C": "0.50 or 50%, 0.65 or 65%",
"opt_D": "0.67 or 67%, 0.80 or 80%",
... |
"Problem Statement:\nThe energy stored in the magnetic field in a solenoid 30 cm long and 3 cm diameter wound with 1000 turns of wire carrying a current at 10 amp, is" | {
"stem_1084": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.015 joule.",
"opt_B": "15 joule.",
"opt_C": "0.0015 joule.",
"opt_D": "1.5 joule.",
"opt_E": "0.15 millijoule.",
"opt_F": "1.15 jo... |
"Problem Statement:\nConsider a horizontal pipe of 1.2 in. inside diameter and of roughness k = 0.002 ft. If water flows through it at 9.3 ft/s, calculate the pressure loss per 10 ft. of the pipe length. Kinematic viscosity of water ѵ = 0.93 × 10^-5 ft^2/s." | {
"stem_1085": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.0 psi",
"opt_B": "4.5 psi",
"opt_C": "3.5 psi",
"opt_D": "3.0 psi",
"opt_E": "2.78 psi",
"opt_F": "1.8 psi",
"opt_G": "2.5 p... |
"Problem Statement:\nFind the inverse Laplace transform f(t) = L^-1 {log [(s + 1) / (s - 1)]}, s > 1." | {
"stem_1086": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(1 - e^(-2t)) / t",
"opt_B": "(2 sinh t) / t^2",
"opt_C": "(2 tanh t) / t",
"opt_D": "(2 sinh t) / t",
"opt_E": "(2 tanh t) * t",
"o... |
"Problem Statement:\nA dc motor requires 10 kilowatts to enable it to supply its full capacity of 10 horsepower to its pulley. What is its full-load efficiency ?" | {
"stem_1087": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "74.6%",
"opt_B": "65%",
"opt_C": "50%",
"opt_D": "85%",
"opt_E": "92%",
"opt_F": "60%",
"opt_G": "80%",
"opt_H": "70%",
... |
"Problem Statement:\nA box contains 7 red, 5 white, and 4 black balls. What is the probability of your drawing at random one red ball? One black ball?" | {
"stem_1088": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "P(R) = 2/3, P(B) = 1/3",
"opt_B": "P(R) = 5/14, P(B) = 4/14",
"opt_C": "P(R) = 1/2, P(B) = 1/4",
"opt_D": "P(R) = 7/15, P(B) = 4/15",
"opt... |
"Problem Statement:\nA student performs five titrations and obtains a mean result of 0.110 M, with a standard deviation of 0.001 M. If the actual concentration of the titrated solution is 0.100 M, which of the following is true about the titration results?" | {
"stem_1089": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Moderately accurate and precise",
"opt_B": "Accurate but not precise",
"opt_C": "Precise but not accurate",
"opt_D": "Both accurate and precise"... |
"Problem Statement:\nWater enters a single-pass heat exchanger at 61.4°F and leavesat 69.9°F. The average water velocity through the 0.902 in. diameter tube is 7 ft/sec.Computethe average film heattransfer coefficient on the water side." | {
"stem_1090": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2800 Btu hr^-1 ft^-2 F^-1",
"opt_B": "1000 Btu hr^-1ft^-2F^-1",
"opt_C": "850 Btu hr^-1 ft^-2 F^-1",
"opt_D": "1670 Btu hr^-1ft^-2F^-1",
"... |
"Problem Statement:\nFind the determinate of matrix A A =\\vert23\\vert \\vert12\\vert." | {
"stem_1091": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0",
"opt_B": "2",
"opt_C": "5",
"opt_D": "-3",
"opt_E": "-1",
"opt_F": "3",
"opt_G": "1",
"opt_H": "4",
"opt_I": "... |
"Problem Statement:\nCarbon dioxide obeys the reduced Berthelot equation reasonably well z = [(PV) / (RT)] = 1 + [9 / (128)] [(PT_c) / (P_cT)] [1 - 6 {(T_c^2) / (T^2)}] Given:T_c= 304.3 K and P_c = 73.0atm, calculate the fugacity of carbon dioxide at a temperature of 150°C and pressure of 50 atm." | {
"stem_1092": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "60.5 atm",
"opt_B": "37.8 atm",
"opt_C": "50 atm",
"opt_D": "73.0 atm",
"opt_E": "88.1 atm",
"opt_F": "25.6 atm",
"opt_G": "46... |
"Problem Statement:\nA 1-cm cube (1.46 g) of carbon tetrachloride is irradiated to produce ^35S by the reaction (^35 _17)Cl + (_0 ^1)n \\rightarrow (^35 _16)S + (^1 _1)H The thermal neutron flux, normal to one face of the sample, is 10^9 cm^-2 sec ^-1 . Given that the total absorption cross section for chlorine is 33.8... | {
"stem_1093": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.55 × 10^11",
"opt_B": "1.96 × 10^11",
"opt_C": "1.23 × 10^11",
"opt_D": "2.89 × 10^11",
"opt_E": "7.22 × 10^11",
"opt_F": "3.68 × ... |
"Problem Statement:\nAir inside a chamber is heated from an initial volume and pressure of 1.0 ft^3 and 1500psiarespectively to a final volume of 8.0 ft^3. Calculate the total work done by the gas if the expansion process is quasi-static and given by the relation PV^1.4 = constant." | {
"stem_1094": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "175,000 ft-lbf",
"opt_B": "305,000 ft-lbf",
"opt_C": "450,000 ft-lbf",
"opt_D": "500,000 ft-lbf",
"opt_E": "405,000 ft-lbf",
"opt_F"... |
"Problem Statement:\nA 50 ml solution of sulfuric acid was found to contain 0.490 g of H_2SO_4. This solution was titrated against a sodium hydroxide solution of unknown concentration. 12.5 ml of the acid solution was required to neutralize 20.0 ml of the base. What is the concentration of the sodium hydroxide solution... | {
"stem_1096": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.125 M",
"opt_B": "0.088 M",
"opt_C": "0.225 M",
"opt_D": "0.250 M",
"opt_E": "0.160 M",
"opt_F": "0.200 M",
"opt_G": "0.175 ... |
"Problem Statement:\n12 gal/min of a liquid with a specific gravity of 1.3 is to be lifted with an air pump. If air can be obtained at 55 psig, and the liquid is to be raised 75 ft., determine the power needed using isentropic air compression. The pump has an efficiency of 30%." | {
"stem_1097": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.0 hp",
"opt_B": "0.8 hp",
"opt_C": "1.8 hp",
"opt_D": "0.5 hp",
"opt_E": "1.2 hp",
"opt_F": "2.5 hp",
"opt_G": "3.0 hp",
... |
"Problem Statement:\nOil (sp. gr. = 0.96, viscosity \\mu = 50 cp) flows past a flat plate with a free-stream velocity of 1.1 ft/s. What is the thickness of the boundary layer, and the displacement thickness 6 inches from the leading edge?" | {
"stem_1098": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Boundary layer thickness is 0.50 inches and displacement thickness is 0.15 inches",
"opt_B": "Boundary layer thickness is 1.25 inches and displacement thick... |
"Problem Statement:\nCompute the diameter of a square link subjected to a compressive load of 27,000 lbs. Modulus of elasticity = 30 × 10^6 psi. Proportionality limit = 38,000 psi, working stress = 7000 psi, length of the link = 55 in." | {
"stem_1099": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.75 in. × 1.75 in.",
"opt_B": "2 in. × 2 in.",
"opt_C": "1.96 in. × 1.96 in.",
"opt_D": "2.25 in. × 2.25 in.",
"opt_E": "2.5 in. × 2 in."... |
"Problem Statement:\nBody temperature on the average is 98.6°F. What is thison (a)theCelsius scale and (b) the Kelvin scale?" | {
"stem_1100": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "37.00°C, 310.15K",
"opt_B": "37.50°C, 311.65K",
"opt_C": "38.50°C, 311.65K",
"opt_D": "36.50°C, 309.65K",
"opt_E": "35.00°C, 308.15K",
... |
"Problem Statement:\nWhat is the theoretical density for calcium, since it crystallizes in the face-centered cubic unit cell, where a = 3.48°A, z = content = 3." | {
"stem_1101": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.738 × 10^3 kg/m^3",
"opt_B": "4.238 × 10^3 kg/m^3",
"opt_C": "4.938 × 10^3 kg/m^3",
"opt_D": "2.738 × 10^3 kg/m^3",
"opt_E": "3.738 × 10... |
"Problem Statement:\nThe force constant of ${ }^{35} \\mathrm{Cl}^{35} \\mathrm{Cl}$ is $319 \\mathrm{~N} \\cdot \\mathrm{m}^{-1}$. Calculate the fundamental vibrational frequency" | {
"stem_1102": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "350 cm⁻¹",
"opt_B": "490 cm⁻¹",
"opt_C": "300 cm⁻¹",
"opt_D": "675 $\\mathrm{~cm}^{-1}$",
"opt_E": "610 $\\mathrm{~cm}^{-1}$",
"opt_... |
"Problem Statement:\nAir at an initial state of 100 psia and 800°R is expanded in a cylinder to a final pressure of 10 psia, along a polytropic path with n = 1.3. Assuming the process to be adiabatic, and air to behave as an ideal gas, calculate the friction of the process per lbm of air." | {
"stem_1103": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "34.2 Btu/lbm",
"opt_B": "24.3 Btu/lbm",
"opt_C": "100.5 Btu/lbm",
"opt_D": "18.8 Btu/lbm",
"opt_E": "75.4 Btu/lbm",
"opt_F": "470 Bt... |
"Problem Statement:\nApproximately how many half-lives will it take to reduce 10.0 kg of a radioactive substance to 1.0 microgram of that substance?" | {
"stem_1104": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15",
"opt_B": "40",
"opt_C": "38",
"opt_D": "13",
"opt_E": "21",
"opt_F": "27",
"opt_G": "34",
"opt_H": "8",
"opt_... |
"Problem Statement:\nA three-wire circuit supplies 500 lamps each taking 1/2 ampere; 275 lamps being on one side of the neutral and 225 on the other side, all at a distance of 1,000 feet from a 231- volt three-wire generator. The voltage between the neutral and either outside main is maintained at 115.5 volts at the ge... | {
"stem_1105": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "116 volts across 275 lamps and 122 volts across 225 lamps",
"opt_B": "102.5 volts across 275 lamps and 117.5 volts across 225 lamps",
"opt_C": "100 vo... |
"Problem Statement:\n2NaHCO_3(s) \\rightarrow Na_2CO_3(s) \\rightarrow CO_2 (g) + H_2O(l) , ∆H = 30.92 Kcal/mole. ∆H°_Na2 CO3 _(s) = - 270.3. ∆H°CO2 (g)= - 94.0 and ∆H°H2 O_(l) = - 68.4 Kcal/mole, what is the standard enthalpy of formation for NaHCO3(s)?" | {
"stem_1106": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 185.0 Kcal/mole",
"opt_B": "- 440.0 Kcal/mole",
"opt_C": "- 94.0 Kcal/mole",
"opt_D": "- 360.2 Kcal/mole",
"opt_E": "- 270.3 Kcal/mole",... |
"Problem Statement:\nFind v(0^+) and (dv/dt)_(0)+ if V(s) = [(- 36s^2 - 24s + 2) / (12s^3 + 17s^2 + 6s)]" | {
"stem_1107": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "v(0^+) = -4, (dv/dt)_(0)+ = 2.25",
"opt_B": "v(0^+) = -2, (dv/dt)_(0)+ = 3.25",
"opt_C": "v(0^+) = -3, (dv/dt)_(0)+ = 4.25",
"opt_D": "v(0^+) = ... |
"Problem Statement:\nIn an automobile 120 hp of mechanical power developed at the engine is to be transmitted to the rear axle and through a connecting shaft rotating at a rate of 300 rpm. If the shear stress acting on the shaft is 6500 psi, specify the suitable standard diameter for the shaft." | {
"stem_1108": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.7 in",
"opt_B": "3 in",
"opt_C": "4.5 in",
"opt_D": "1.5 in",
"opt_E": "4 in",
"opt_F": "2.2 in",
"opt_G": "2.8 in",
"... |
"Problem Statement:\nThe oxidation number of chlorine in the perchlorate ion, ClO4–, is" | {
"stem_1109": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7",
"opt_B": "2",
"opt_C": "-2",
"opt_D": "5",
"opt_E": "-3",
"opt_F": "1",
"opt_G": "6",
"opt_H": "-1",
"opt_I": ... |
"Problem Statement:\nCalculate the pH of a solution whose hydrogen ion concentration is 2.7 × 10^-6 M." | {
"stem_1110": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.70",
"opt_B": "5.57",
"opt_C": "5.00",
"opt_D": "5.70",
"opt_E": "6.43",
"opt_F": "5.43",
"opt_G": "6.57",
"opt_H": "6... |
"Problem Statement:\nAn impure sample of aluminum sulfate, Al_2 (SO_4)_3, is analyzed by forming a precipitate of insoluble barium sulfate, BaSO_4, by reacting aluminum sulfate with an excess of BaCl_2 (to insure complete precipitation). After washing and drying, 2.000 g of BaSO_4 was obtained. If the original sample w... | {
"stem_1111": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "75.4 % Al_2(SO_4)_3",
"opt_B": "84.3 % Al_2(SO_4)_3",
"opt_C": "66.7 % Al_2(SO_4)_3",
"opt_D": "97.8 % Al_2 (SO_4)_3",
"opt_E": "2.2 % Al_... |
"Problem Statement:\nNitronyl nitroxides are stable radicals in which the unpaired electron is coupled to two equivalent nitrogen nuclei. How many lines will appear in the EPR spectrum of a solution of a rigid nitronyl nitroxide diradical with J << a?" | {
"stem_1112": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11 lines",
"opt_B": "10 lines",
"opt_C": "5 lines",
"opt_D": "3 lines",
"opt_E": "6 lines",
"opt_F": "13 lines",
"opt_G": "9 l... |
"Problem Statement:\nAssuming ideal gas behavior, what is the molecular weight of a gas with a density of 2.50 g/liter at 98°C and .974 atm?" | {
"stem_1113": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "85.3 g",
"opt_B": "75.6 g",
"opt_C": "76.4 g",
"opt_D": "84.7 g",
"opt_E": "82.5 g",
"opt_F": "70.9 g",
"opt_G": "80.2 g",
... |
"Problem Statement:\nConsider an air stream flowing over a solid naphthalene plate with a velocity of 16 ft/sec at points far away from the surface of the plate. The air stream pressure is 1 atm and the temperature of the system is 115°F. Determine: (a) the average coefficient of mass transfer over first 1.5 ft from le... | {
"stem_1114": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 63.5 ft/hr, (b) 0.0245 lb_m/hr, (c) 31.75 ft/hr, (d) - 0.032 lb/ft^4, (e) 0.023 ft, 0.017 ft.",
"opt_B": "(a) 53.2 ft/hr, (b) 0.0205 lb_m/hr, (c) 26.6 f... |
"Problem Statement:\nTwo separate bulbs contain ideal gases A and B, respectively. The density of gas A is twice that of gas B, and the molecular weight of gas A is half that of gas B; the two gases are at the same temperature. Cal-culate the ratio of the pressure of gas A to that of gas B." | {
"stem_1115": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.75",
"opt_B": "1.5",
"opt_C": "4",
"opt_D": "2.5",
"opt_E": "1",
"opt_F": "3",
"opt_G": "0.25",
"opt_H": "8",
"o... |
"Problem Statement:\nThe critical temperature of a certain liquid of molecular weight 60 g/mole is 400 C. The normal melting point and the melting point at the triple point are, 15.000 C and 14.980 C respectively. (At the triple point the system is subjected only to its own low vapor pressure). Calculate a) ∆H_vap, b) ... | {
"stem_1116": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "∆H_vap= 7.45 kcal, ∆H_fus= 1.3 kcal, ∆H_S = 8.75 kcal, P_1 = 2.5 mm Hg",
"opt_B": "∆H_vap= 9.45 kcal, ∆H_fus= 1.5 kcal, ∆H_S = 10.95 kcal, P_1 = 2.08 mm Hg"... |
"Problem Statement:\nA chemist decides to find the vapor pressure of water by the gas saturation method. 100 liters of N_2 gas is passed through 65.44 g of water. After passage of the gas, 63.13 g remained. The temperature of the H_2O (water) is 25°C.Find the vapor pressure of water at this temperature." | {
"stem_1117": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.31 mm",
"opt_B": "15.76 mm",
"opt_C": "298 mm",
"opt_D": "18.02 mm",
"opt_E": "12.15 mm",
"opt_F": "23.8 mm",
"opt_G": "5.67... |
"Problem Statement:\nCalculate the quantity of heat required to raise the temperature of one gallon of water (3.78 liters) from 10° to 80°C." | {
"stem_1118": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100 Kcal",
"opt_B": "225 Kcal",
"opt_C": "150 Kcal",
"opt_D": "300 Kcal",
"opt_E": "200 Kcal",
"opt_F": "180 Kcal",
"opt_G": "... |
"Problem Statement:\nSucrose has amoleuclarweight of 342 g/mole. At 0°C the Osmo-tic pressure of an aqueous solution of 1 gram of sucrose per 100 cm^3 solvent is 0.649 atm. Use the simple form of the Os-motic pressure equation to calculate the expected Osmotic pres-sure." | {
"stem_1119": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.000atm",
"opt_B": "0.655atm",
"opt_C": "0.342atm",
"opt_D": "0.750 atm",
"opt_E": "0.450 atm",
"opt_F": "0.500atm",
"opt_G":... |
"Problem Statement:\nPredict the heat of vaporization for H_2O at 373°K, given the following: H_2(g) + (1/2)O_2 (g) = H_2O(g)\\DeltaH°_373 = - 57.98(kcal / mole) H_2(g) + (1/2)O_2 (g) = H_2O (liq)\\DeltaH°_373 = - 67.68(kcal / mole)" | {
"stem_1120": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25.13 kJ",
"opt_B": "67.68 kJ",
"opt_C": "9.81 kJ",
"opt_D": "30.00 kJ",
"opt_E": "57.98 kJ",
"opt_F": "40.59 kJ",
"opt_G": "7... |
"Problem Statement:\nA 6-pole 3-phase 60-cycle alternator has 12 slots per pole and four conductors per slot. The winding is five-sixths pitch. There are 2,500,000 maxwells (= 0.025 weber) entering the armature from each north pole, and this flux is sinusoidally distributed along the air gap. The armature coils are all... | {
"stem_1121": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "296 volts",
"opt_B": "480 volts",
"opt_C": "425 volts",
"opt_D": "350 volts",
"opt_E": "550 volts",
"opt_F": "600 volts",
"opt... |
"Problem Statement:\nManufacturers use soda-lime glass for containers. This type of glass can be prepared by melting sodium carbonate (Na_2CO_3), limestone (CaCO_3), and sand (SiO_2) together. The equation for this reaction is Na_2CO_3 + CaCO_3 + 6SiO_2 \\ding{217} Na_2O\\bulletCaO\\bullet6SiO_2 + 2CO2 soda-lime glass ... | {
"stem_1122": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.0 × 10^6 g",
"opt_B": "3.5 × 10^5 g",
"opt_C": "5.0 × 10^5 g",
"opt_D": "1.51 × 10^6 g",
"opt_E": "2.51 × 10^4 g",
"opt_F": "1.75 ... |
"Problem Statement:\nCalculate ∆m, the difference in mass between the final and initial nuclei in grams per mole for the emission of a \\gamma ray, ^19_8O\\textasteriskcentered (excited state)\\rightarrow^19_8O (ground state) + \\gamma (∆E = 1.06 × 10^8 Kcal/mole)." | {
"stem_1123": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.92 × 10^-3 g/mole",
"opt_B": "- 4.92 × 10^-3 g/mole",
"opt_C": "4.92 × 10^-3 g/mole",
"opt_D": "- 7.92 × 10^-3 g/mole",
"opt_E": "5.92 ×... |
"Problem Statement:\nEstimate the β-hyperfine value for the cyclobutyl radical (C4H7•) assuming the radical is flat and the HCH angle is 115°." | {
"stem_1124": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.8 mT",
"opt_B": "4.6 mT",
"opt_C": "25 G",
"opt_D": "30 G",
"opt_E": "3.8 mT",
"opt_F": "2.1 mT",
"opt_G": "27 G",
"op... |
"Problem Statement:\nGaseous hydrochloric acid dissociates in water as described bythe following chemical reaction : HCl(g) \\rightarrow H^+(aq) +Cl^-(aq) Using the following heats of formation, calculate \\DeltaH°_77°F for thereaction. Heats of formation @ 77°F HCl-\\DeltaH_f= - 87.54 Btu/mole H^+ -\\DeltaH_f= 0 Btu/m... | {
"stem_1125": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "87.54 Btu",
"opt_B": "-87.54 Btu",
"opt_C": "0 Btu",
"opt_D": "158.8 Btu",
"opt_E": "71.26 Btu",
"opt_F": "-158.8 Btu",
"opt_G... |
"Problem Statement:\nIf the mean radius of atoroidalcoil is 10 cm and it has 1500 turns, find the average self-inductance (a) with an air core (b) with an iron core having an average relative incremental permeability of 100." | {
"stem_1126": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 75.88mH, (b) 7.588 Henrys",
"opt_B": "(a) 200mH, (b) 20 Henrys",
"opt_C": "(a) 210.47mH, (b) 21.047 Henrys",
"opt_D": "(a) 141.37mH, (b) 14.... |
"Problem Statement:\nConsider an example of forced convection within a pipe. The local heat transfer coefficient is valid at the point it is evaluated at, and in its immediate vicinity. When the length of pipe as a whole is of concern, the average heat transfer coefficient applies. The average temperature difference is... | {
"stem_1127": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "h_av= [{^L\\int_0h_x(T_s - T)dx} / 2\\piR^ L]",
"opt_B": "h_av= [{^L\\int_0h_x(T_s - T)dx} / (T_s -T_av)]",
"opt_C": "h_av= [{^L\\int_0h_xdx} / (T_s -... |
"Problem Statement:\nFind the theoretical variance of the random variable with the following probability distribution. x Pr(X = x) 0 (1/4) 1 (1/2) 2 (1/8) 3 (1/8)" | {
"stem_1128": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.625",
"opt_B": "0.683",
"opt_C": "0.350",
"opt_D": "1.125",
"opt_E": "1.000",
"opt_F": "0.500",
"opt_G": "0.764",
"opt... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. A sample of $4.50 \\mathrm{~g}$ of methane occupies $12.7 \\mathrm{dm}^3$ at $310 \\mathrm{~K}$. Calculate the work that would be done if the same expansion occurred reversibly." | {
"stem_1129": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$-130$ $\\mathrm{J}$",
"opt_B": "$-215$ $\\mathrm{J}$",
"opt_C": "$-160$ $\\mathrm{J}$",
"opt_D": "$-167$$\\mathrm{J}$",
"opt_E": "$-152$ ... |
"Problem Statement:\nThe bandwidth and cut-off frequency of an antenna are 0.8 MHz and 44 MHz respectively. Calculate the Q-factor of theantenna." | {
"stem_1130": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "55",
"opt_B": "50",
"opt_C": "75",
"opt_D": "85",
"opt_E": "65",
"opt_F": "70",
"opt_G": "80",
"opt_H": "45",
"opt... |
"Problem Statement:\nA qualitative analysis ofAtebrin, anantimalarialdrug used extensively by Allied troops during the Second World War, showed carbon, hydrogen, nitrogen, chlorine and oxygen. A quantitative analysis showed 69.1% carbon, 7.5% hydrogen, 10.5% nitrogen, 8.9% chlorine and 4.0% oxygen. What is the empirica... | {
"stem_1131": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "C_23H_30N_2O_2",
"opt_B": "C_21H_30ClNO",
"opt_C": "C_25H_30ClNO",
"opt_D": "C_23H_32ClN_2O",
"opt_E": "H_2O",
"opt_F": "C_10H_20N_2... |
"Problem Statement:\nOne cubic foot of oxygen at 100°F and 15psiais compressedadiabatically to 0.4 ft. What then, are the temperatureand pressure of the gas. If the process had beenisothermal, what would the temperature and pressure havebeen?" | {
"stem_1132": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "60.0psia and 360°F, 40.5psia and 100°F",
"opt_B": "65.0psia and 370°F, 42.5psia and 100°F",
"opt_C": "58.0psia and 365°F, 39.5psia and 100°F",
"... |
"Problem Statement:\nWhat is the impedance of a circuit if 100\\angle0° V causes a current7.07 + j7.07 A?" | {
"stem_1133": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.5 - j2.3 Ω",
"opt_B": "10 - j35 Ω",
"opt_C": "8.2 - j5.7 Ω",
"opt_D": "12.1 + j3.5 Ω",
"opt_E": "7.07 + j7.07 Ω",
"opt_F": "14 + j... |
"Problem Statement:\nCalculate the force on an alpha particle passing a gold atomic nucleus at a distance of $0.00300 Å$." | {
"stem_1134": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.508 $\\mathrm{~N}$",
"opt_B": "0.505 $\\mathrm{~N}$",
"opt_C": "0.605 $\\mathrm{~N}$",
"opt_D": "0.305 $\\mathrm{~N}$",
"opt_E": "0.105 ... |
"Problem Statement:\nA sample of solid MgCl2 would be most soluble in which of the following solutions?" | {
"stem_1135": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "AlCl3(aq)",
"opt_B": "CBr4(aq)",
"opt_C": "NaOH(aq)",
"opt_D": "HCl(aq)",
"opt_E": "LiOH(aq)",
"opt_F": "CH3COOH(aq)",
"opt_G"... |
"Problem Statement:\nRaise thephasor(8.66 + j5.0) to the second power; to the fifth power." | {
"stem_1137": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "85\\angle75° and 85,000\\angle170°",
"opt_B": "125\\angle55° and 125,000\\angle175°",
"opt_C": "80\\angle90° and 500,000\\angle180°",
"opt_D": "... |
"Problem Statement:\nIn a continuously fed catalytic ammonia converter 1 mol of nitrogenreacts with 3 mol of hydrogen according to the followingchemical reaction: N_2 + 3H_2 = 2NH_3 The converter is operated at a pressure of 100atmand a temperatureof 350°C. The equilibrium constant for this reactionK is equal to 14.4 ×... | {
"stem_1138": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "70% conversion",
"opt_B": "40% conversion",
"opt_C": "35% conversion",
"opt_D": "60% conversion",
"opt_E": "65% conversion",
"opt_F"... |
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