state unknown | questions unknown |
|---|---|
"Problem Statement:\nBrine containing 20% salt by mass flows into a well- stirred tankat a rate of 20 kg/min. The tank ini-tially contains 1000 kg of brine containing 10% salt by mass, and the resultingsolution leaves the tank at a rate of 10 kg/min. Findan expression for the amount of salt in terms of time \\texttheta... | {
"stem_724": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "S = [(3θ^2 + 300θ + 9000) / (100 + θ)]",
"opt_B": "S = [(2θ^2 + 200θ + 10000) / (50 + θ)]",
"opt_C": "S = [(2\texttheta^2 + 400\texttheta + 5000) / (10... |
"Problem Statement:\nWhat inductance is required to resonate at 10 MHz with a capacitance of 100 pF?" | {
"stem_725": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.00 μH",
"opt_B": "1.53 μH",
"opt_C": "3.14 μH",
"opt_D": "3.53 μH",
"opt_E": "0.75 μH",
"opt_F": "2.00 μH",
"opt_G": "5.00 μH... |
"Problem Statement:\nA liquid-propellant rocket uses 22 lb of fuel per second and 300 lb of oxidant per second.The exhaust gases leave the rocketat 2,000 fps. Calculate the rocket thrust." | {
"stem_726": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "45,000 lb",
"opt_B": "18,000 lb",
"opt_C": "28,000 lb",
"opt_D": "30,000 lb",
"opt_E": "15,000 lb",
"opt_F": "20,000 lb",
"opt_... |
"Problem Statement:\nA rectangular section of a porous solid 0.5 in. thick is submergedin 100 % ethanol. The voids of the solid compose50 % of its volume. The solid is removed from the ethanolafter thorough soaking and placed in an agitated tankof water at 80°F. Only molecular diffusion occurs in the pores, and the dif... | {
"stem_727": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.00 min",
"opt_B": "4.00 min",
"opt_C": "0.10 min",
"opt_D": "0.50 min",
"opt_E": "3.00 min",
"opt_F": "0.75 min",
"opt_G": "0... |
"Problem Statement:\nThe 13C spectrum of which isomer of C6H14 has lines with five distinct chemical shifts?" | {
"stem_728": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3-ethylpentane",
"opt_B": "cyclohexane",
"opt_C": "hexane",
"opt_D": "1,1-dimethylcyclobutane",
"opt_E": "3-methylpentane",
"opt_F": ... |
"Problem Statement:\nWhen a solid melts, the entropy change and enthalpy changes expected are" | {
"stem_729": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Positive enthalpy change and negative entropy change",
"opt_B": "negative entropy change and a negative enthalpy change",
"opt_C": "No change in entrop... |
"Problem Statement:\nAir at one atm. and 90°F moves at 140 ft/sec across a flat plate of length 3 ft. The temperature at the sur-face of the plate is 450°F. For a 1 ft. width, deter-mine the heat loss from the entire plate, and also the heat loss from the laminar and turbulent sections of the boundary layer. Then, assu... | {
"stem_730": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "18,252 Btu/hr",
"opt_B": "11,200 Btu/hr",
"opt_C": "17,100 Btu/hr",
"opt_D": "20,450 Btu/hr",
"opt_E": "15,336 Btu/hr",
"opt_F": "13,... |
"Problem Statement:\nThe error due to thermal noise in a communication sys-tem is represented by a pulse train of amplitude\\Deltam_S. Let P(t) = [(I\\Deltam_s) / (\\tau)] be the pulse slope,t\\varepsilon[0, \\tau] where \\tau = (1 / 2f_m), calculate the power spectral density of the thermal noise,G_th(f) and the outpu... | {
"stem_731": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.656 [{2^(2N+1)S^2P_eI^2} / {2 T_s}]",
"opt_B": "0.756 [{2^(2N+1)S^2P_eI^2} / {3 T_s}]",
"opt_C": "0.656 [{2^(2N)S^2P_eI^2} / {2 T_s}]",
"opt_D"... |
"Problem Statement:\nThe statistical data for a certain community indicate that 25% of all girls are blondes, 50% of all girls and 75% of all blondes have blue eyes. If it is known that a girl has blue eyes, how much additional information is available if one is told that she is also a blonde?" | {
"stem_732": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.85 bits",
"opt_B": "1 bit",
"opt_C": "2 bits",
"opt_D": "0.5 bits",
"opt_E": "1.25 bits",
"opt_F": "0.75 bits",
"opt_G": "0.2... |
"Problem Statement:\nTheemfat 298 K of the concentration cell with transference, H_2(1atm) \\vertHCl(a = 0.0100)\\vertHCl(a = 0.100)\\vertH_2(1atm) is 0.0190 V. What is the average transference number of the H^+ ion?" | {
"stem_733": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.04500",
"opt_B": "0.90000",
"opt_C": "0.83942",
"opt_D": "0.11832",
"opt_E": "0.25000",
"opt_F": "0.0190",
"opt_G": "0.50000"... |
"Problem Statement:\nWhich of the following can form hydrogen bonds?" | {
"stem_734": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "CH3F",
"opt_B": "CH3OCH2Br",
"opt_C": "CH4",
"opt_D": "CH3CH2CH2CH3",
"opt_E": "CH3NH2",
"opt_F": "CH3CH3",
"opt_G": "C6H6"
... |
"Problem Statement:\nA proposed mechanism for a reaction is as follows: NO2 + F2 →NO2F + F Slow step. F + NO2 → NO2F Fast step. What is the order of the overall reaction?" | {
"stem_735": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Fourth order",
"opt_B": "Second order",
"opt_C": "First order",
"opt_D": "Zero order",
"opt_E": "Third order in NO2 and zero order in F2",
... |
"Problem Statement:\nA 4 kHz audio signal is transmitted using PCM technique. If the system operation is to be just above the thresh-old and the output signal-to-noise ratio is equal to 47 dB, find N, the number of binary digits needed to assign individual binary code designation to the M quantization level. i.e., M = ... | {
"stem_736": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12",
"opt_B": "10",
"opt_C": "6",
"opt_D": "7",
"opt_E": "5",
"opt_F": "11",
"opt_G": "4",
"opt_H": "9",
"opt_I": "... |
"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_738": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8 lines",
"opt_B": "5 lines",
"opt_C": "2 lines",
"opt_D": "12 lines",
"opt_E": "9 lines",
"opt_F": "3 lines",
"opt_G": "4 line... |
"Problem Statement:\nEthane reacts with astoichiometricamount of air by the followingcombustion equation : C_2H_6 + 3.5O_2 + 3.5(3.76)N_2\\rightharpoonup 2CO_2 + 3H_2O + 3.5(3.76)N_2. Using the following enthalpy data, calculate the amount of heattransfer per mole of fuel if ethane enters at 60 C, the air entersat 4.4°... | {
"stem_739": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "115,500 kcal/mole",
"opt_B": "130,000 kcal/mole",
"opt_C": "110,950 kcal/mole",
"opt_D": "135,800 kcal/mole",
"opt_E": "120,000 kcal/mole",... |
"Problem Statement:\nIf 25 ml of .11 M sucrose is added to 10 ml of .52 M sucrose, what would be the resultingmolarity?" | {
"stem_740": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".33 M",
"opt_B": ".45 M",
"opt_C": ".40 M",
"opt_D": ".28 M",
"opt_E": ".12 M",
"opt_F": ".26 M",
"opt_G": ".15 M",
"opt_... |
"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. The constant-volume heat capacity of a gas can be measured by observing the decrease in temperature when it expands adiabatically and reversibly. If t... | {
"stem_741": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "29.80$\\mathrm{J} \\mathrm{K}^{-1} \\mathrm{~mol}^{-1}$",
"opt_B": "47.80$\\mathrm{J} \\mathrm{K}^{-1} \\mathrm{~mol}^{-1}$",
"opt_C": "38.70$\\mathrm{... |
"Problem Statement:\nWhat is the volume of a container required, to store 1500lbmof ethane (C_2H_6) at 160°F and a pressure of 1100 psig (gage pressure)?" | {
"stem_742": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "172.60 ft^3",
"opt_B": "180.40 ft^3",
"opt_C": "167.85 ft^3",
"opt_D": "120.50 ft^3",
"opt_E": "155.10 ft^3",
"opt_F": "160.25 ft^3",... |
"Problem Statement:\nThe forces experienced by a test charge q for three different velocities at a point in a region characterized by electric and magnetic fields are given by F_1= q[E_0i_x + (E_0 - v_0B_0)i_y]forv_1= v_0i_x F_2= q[(E_0 + v_0B_0)i_x + E_0i_y]forv_2= v_0i_y- F_3= q[E_0i_x + E_0i_y]forv_3= v_0i_z where v... | {
"stem_743": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "E= E_0 (i_x +i_y), B= B_0i_z",
"opt_B": "E= E_0(i_y - i_x), B= -B_0(i_y + i_z)",
"opt_C": "E= E_0(i_x + 2i_y), B= B_0(i_y - i_z)",
"opt_D": "E= -... |
"Problem Statement:\nThe x and y components of an elliptically polarized wave in air are E_x = 3 sin(\\omegat-\\betaz) volts/meter E_y = 6 sin (\\cyrchar\\cyromegat-\\betaz+ 75°) volts/meter What is the power per unit area conveyed by the wave?" | {
"stem_744": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.15 watt/meter^2",
"opt_B": "0.27 watt/meter^2",
"opt_C": "0.21 watt/meter^2",
"opt_D": "0.24 watt/meter^2",
"opt_E": "0.02 watt/meter^2",... |
"Problem Statement:\nWhat is the pH of a 1.0 M solution of the strong electrolyte sodium acetate? The dissociation constant of acetic acid is K_a = 1.8 × 10^-5 mole/liter." | {
"stem_746": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11.2",
"opt_B": "8.2",
"opt_C": "7.4",
"opt_D": "5.6",
"opt_E": "10.0",
"opt_F": "4.5",
"opt_G": "6.3",
"opt_H": "7.0",
... |
"Problem Statement:\nIn order to calculate the cationic and anionic mobilities of the potassium (K^+) and chloride ions (Cl^-) in a .05 normal solution at 25°C, the moving boundary technique was used to first determine t_+, the cationic transport number. In a cell having a cross-sectional area of 1 cm^2, a current of .... | {
"stem_747": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\mu_+ = 5.00 × 10^-8m^2s^-1v^-1, \\mu_- = 5.30 × 10^-8m^2s^-1v^-1",
"opt_B": "\\mu_+ = 6.91 × 10^-9m^2s^-1v^-1, \\mu_- = 7.19 × 10^-9m^2s^-1v^-1",
"op... |
"Problem Statement:\n(i) A certain 230-volt motor has an armature-circuit resistance of 0.3 ohm and runs at a speed of 1200 rpm, with normal excitation and 50-amp armature current. (a) If the load is increased until the armature current has risen to 60 amp, what will be the new value of speed ? (b) If the load is reduc... | {
"stem_748": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "S_2 = 1200 rpm, S_3 = 1200 rpm, I_a = 766 amp, R_s = 3 ohms",
"opt_B": "S_2 = 1100 rpm, S_3 = 1320 rpm, I_a = 765 amp, R_s = 2.8 ohms",
"opt_C": "S_2 =... |
"Problem Statement:\nK_dissof water for 2H_2O \\rightleftarrows H_3O^+ + OH^- changes from 1.0 × 10^-14 at 25°C to 9.62 × 10^-14 at 60°C. Does the pH of water or its neutrality change when the temperature is increased from 25°C to 60°C?" | {
"stem_749": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Neutrality changes, with water becoming more basic, while pH remains constant",
"opt_B": "Only pH changes, but the value increases",
"opt_C": "pH decre... |
"Problem Statement:\nChlorine may be prepared by the action of KClO_3 on HCl, and the reaction may be represented by the equation: KClO_3 + 6HCl \\rightarrow KCl + 3Cl_2 + 3H_2 O Calculate the weight of KClO_3 which would be required to produce 1.0 liter of Cl_2 gas at STP. R = .082 liter-atm/mole -°K." | {
"stem_750": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.75 g",
"opt_B": "1.50 g",
"opt_C": "3.00 g",
"opt_D": "0.92 g",
"opt_E": "2.50 g",
"opt_F": "1.00 g",
"opt_G": "1.20 g",
... |
"Problem Statement:\nLithopone white paint is made by heating a mixture ofBaS and ZnSO_4 according to the equation BaS + ZnSO_4 \\ding{217} BaSO_4 +ZnS What is the weight ratio of products BaSO_4 andZnSin the paint ?" | {
"stem_751": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.5 : 1",
"opt_B": "1 : 3",
"opt_C": "2 : 3",
"opt_D": "233 : 97 or 2.4 : 1",
"opt_E": "97 : 233 or 1 : 2.4",
"opt_F": "1 : 2",
... |
"Problem Statement:\nGiven that Bismuth has a density of 9.80 × 10^3 kg m^-3 and a mass absorption coefficient for a gamma radiation corresponding to a half thickness of 12g cm^-2. What is the percent decrease in intensity at a depth of 1.5 cm?" | {
"stem_752": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "75%",
"opt_B": "50%",
"opt_C": "55%",
"opt_D": "80%",
"opt_E": "65%",
"opt_F": "45%",
"opt_G": "57.15%",
"opt_H": "40%",
... |
"Problem Statement:\nAn electron was accelerated through a potential difference of 1.00 \\pm 0.01 kV. What is the uncertainty of the position of the electron along its line of flight?" | {
"stem_753": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.75 × 10^-10 m",
"opt_B": "8.22 × 10^-11 m",
"opt_C": "2.15 × 10^-12 m",
"opt_D": "1.885 × 10^7 m s^-1",
"opt_E": "1.22 × 10^-9 m",
... |
"Problem Statement:\nCalculate the roost probable distribution and the thermodynamicprobability (\\Omega) for a system of eight moleculesdistributed among six available energy levels. The totalsystem energy is 4 ergs and the individual levels have energiesof 0, 1, 2, 3, 4, and 5 ergs, respectfully. Also determinethe en... | {
"stem_754": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "most probable distribution is number 3; \\Omega = 250; entropy of the system is 1.82 × 10^-16eu",
"opt_B": "most probable distribution is number 2; \\Omega =... |
"Problem Statement:\nAt steady state conditions, Oxygen (A) diffuses through Nitrogen (B).Consider the nitrogen asnondiffusing. The temperature is 0°C and the total pressure is 1 × 10^5 N / m^2.The partial pressure of oxygen at two locations, 2.2 mm apart is 13500 and 6000 N / m^2. The diffusivityis 1.81 × 10^-5 m^2 / ... | {
"stem_755": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.40 × 10^-5 kmol/m^2-sec, 2.45 × 10^-5 kmol/m^2-sec",
"opt_B": "2.75 × 10^-5 kmol/m^2-sec, 2.80 × 10^-5 kmol/m^2-sec",
"opt_C": "2.50 × 10^-5 kmol/m^2... |
"Problem Statement:\nCalculateK_pfor the reaction S (s) + 2CO (g) = SO_2 (g) + 2C (s). At the temperature in question, two atmospheres of CO are intro-duced into a vessel containing excess solid sulfur, and a final equilibrium pressure of 1.03atmis observed." | {
"stem_756": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "400 atm^-1",
"opt_B": "200 atm^-1",
"opt_C": "325 atm^-1",
"opt_D": "150 atm^-1",
"opt_E": "225 atm^-1",
"opt_F": "50 atm^-1",
... |
"Problem Statement:\nGiven ∆H = 2800 kJ for the production of one mole of C_6H_12O_6 from CO_2 and H_2O, calculate what wavelength of light would be needed per molecule of CO_2 to achieve this photosynthesis in a one-step process." | {
"stem_757": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3000 \\AA",
"opt_B": "2570 \\AA",
"opt_C": "5000 Å",
"opt_D": "3500 \\AA",
"opt_E": "4100 Å",
"opt_F": "4700 Å",
"opt_G": "1500... |
"Problem Statement:\nConsider the Lewis structures for the following molecules: CO2, CO32-, NO2-, and NO3-. Which molecule would have the shortest bonds?" | {
"stem_758": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "O2",
"opt_B": "NO3",
"opt_C": "NO2-",
"opt_D": "CO32-",
"opt_E": "NO2",
"opt_F": "CO",
"opt_G": "NO",
"opt_H": "CO2",
... |
"Problem Statement:\nA 120 V dc shunt motor having an armature circuit resistance of 0.2 ohm and a field circuit resistance of 60 ohms, draws a line current of 40 A at full load. The brush volt drop is 3 V and rated, full load speed is 1800 rpm. Calculate: (a) The speed at half load. (b) The speed at an overload of 125... | {
"stem_759": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Half-load speed: 1870 rpm, 1(1/4) load speed: 1790 rpm",
"opt_B": "Half-load speed: 1780 rpm, 1(1/4) load speed: 1850 rpm",
"opt_C": "Half-load speed: ... |
"Problem Statement:\nAnuninsulatedmetal wire is conducting 900 amps of electricity. The diameter of the wire is 0.50 in. and its thermal conductivity (k) is 10 Btu/hr-ft-°F. The resistance to the flow of electricity is 0.00015 ohms per ft. length. If the heat transfer coefficient at the surface is 6.0 Btu/hr-ft^2- °F a... | {
"stem_760": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "580°F",
"opt_B": "585°F",
"opt_C": "600°F",
"opt_D": "610°F",
"opt_E": "605°F",
"opt_F": "596°F",
"opt_G": "595°F",
"opt_... |
"Problem Statement:\nGiven thatK_spfor Mg(OH)_2 is 1.2 × 10-^11 , calculate the solubility of this compound in grams per 100ml of solution. The reaction equation is Mg(OH)_2 \\rightleftarrows Mg+^2 + 2OH- ." | {
"stem_761": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.6 × 10^-4 grams/100ml",
"opt_B": "1.4 × 10-^4 grams/100ml",
"opt_C": "0.12 grams/100ml",
"opt_D": "9.0 × 10^-2 grams/100ml",
"opt_E": "8.... |
"Problem Statement:\nA solid shaft of 4 in. diameter, is to be substituted with a hollow shaft of the same material and strength, but should weigh half the original per foot length. The cost increases by 20% per foot if hollow shaft is used. Determine a) the internal and the external diameters of the hollow shaft; b) t... | {
"stem_762": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "internal diameter 2.83 in, external diameter 4.00 in, saving 35%",
"opt_B": "internal diameter 2.92 in, external diameter 5.83 in, saving 30.3%",
"opt_... |
"Problem Statement:\nHow much water must be added to 5 gallons of 90% ammonia solution to reduce the solution to a 60% solution?" | {
"stem_763": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.5 gallons",
"opt_B": "1 gallon",
"opt_C": "5 gallons",
"opt_D": "3.5 gallons",
"opt_E": "0.5 gallons",
"opt_F": "2 gallons",
... |
"Problem Statement:\nSuppose that the normalized wavefunction for an electron in a carbon nanotube of length $L=10.0 \\mathrm{~nm}$ is: $\\psi=(2 / L)^{1 / 2} \\sin (\\pi x / L)$. Calculate the probability that the electron is between $x=4.95 \\mathrm{~nm}$ and $5.05 \\mathrm{~nm}$." | {
"stem_764": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.020",
"opt_B": "0.050",
"opt_C": "0.030",
"opt_D": "0.045",
"opt_E": "0.010",
"opt_F": "0.015",
"opt_G": "0.035",
"opt_... |
"Problem Statement:\nYou are given .01 moles ofAgCl. Assuming theKeqfor Ag(NH_3 )_2 is 1.74 × 10^7 , how much 1M ammonia solution is required to dissolve thisAgCl? Assume, also,K_spofAgClis 2.8 × 10^-10 ." | {
"stem_766": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "50 ml",
"opt_B": "400 ml",
"opt_C": "175 ml",
"opt_D": "300 ml",
"opt_E": "75 ml",
"opt_F": "154 ml",
"opt_G": "100 ml",
... |
"Problem Statement:\nThe combustion equation for octane burning in theoretical air (21% O_2 and 79% N_2) is C_8H_18(1) + 12.5O_2 + 12.5(3.76)N_2 \\rightarrow 8CO_2 + 9H_2O + 47N_2 Determine the adiabatic flame temperature for liquid octane burningwith 200 percent theoretical air at 25°C. Use the followingdata to solve ... | {
"stem_767": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1,100°C",
"opt_B": "1,450°C",
"opt_C": "1,171°C",
"opt_D": "1,610°C",
"opt_E": "1,327°C",
"opt_F": "1,500°C",
"opt_G": "1,233°C... |
"Problem Statement:\nCalculate the heat transferred when 250J of work is done on a system consisting of 1 mole of an ideal gas. At constant temperature, \\DeltaE = 0 for the expansion of an ideal gas." | {
"stem_768": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1J",
"opt_B": "500J",
"opt_C": "-250J",
"opt_D": "-500J",
"opt_E": "-100J",
"opt_F": "100J",
"opt_G": "250J",
"opt_H": "-... |
"Problem Statement:\nCalculate the volume of oxygen necessary to burn completely 1000 cubic feet of butane gas according to the equation 2C_4 H1 0+ 13O_2 \\rightarrow 8CO_2 + 10H_2 O" | {
"stem_769": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5500 cubic feet",
"opt_B": "6500 cubic feet",
"opt_C": "6000 cubic feet",
"opt_D": "9000 cubic feet",
"opt_E": "7000 cubic feet",
"op... |
"Problem Statement:\n(a) Derive the expression (\\partialE/\\partialT)_P = C_P - P (\\partialV/\\partialT)_P (b) Calculate (C_P - C_V) for Cu at 20°C Density of Cu = 8.934 (kg / liter) Mass of Cu = 29 × 10^-3 kg mol^-1 \\alpha = 50.1 × 10^-6 K^-1\\beta = 0.7 × 10^-6 atm^-1" | {
"stem_770": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.446J mol^-1K^-1",
"opt_B": "0.346J mol^-1K^-1",
"opt_C": "0.656 J mol^-1 K^-1",
"opt_D": "0.546 J mol^-1 K^-1",
"opt_E": "0.406 J mol^-1 ... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Estimate the change in the Gibbs energy of $1.0 \\mathrm{dm}^3$ of benzene when the pressure acting on it is increased from $1.0 \\mathrm{~atm}$ to $100 \\mathrm{~atm}$." | {
"stem_771": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+25$\\text{kJ}$",
"opt_B": "-10$\\text{kJ}$",
"opt_C": "+5$\\text{kJ}$",
"opt_D": "+2$\\text{kJ}$",
"opt_E": "+40$\\text{kJ}$",
"opt_... |
"Problem Statement:\nA liquid element that is a dark-colored, nonconducting substance at room temperature is" | {
"stem_772": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "lead",
"opt_B": "cesium",
"opt_C": "bromine",
"opt_D": "francium",
"opt_E": "rubidium",
"opt_F": "iodine",
"opt_G": "bismuth",
... |
"Problem Statement:\nWhich of the following is not a sinusoidal oscillator?" | {
"stem_773": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Hartley oscillator",
"opt_B": "Colpitts oscillator",
"opt_C": "Clapp oscillator",
"opt_D": "Quartz crystal oscillator",
"opt_E": "LC oscill... |
"Problem Statement:\nSubstances whose Lewis structures must be drawn with an unpaired electron are called" | {
"stem_774": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "hydrogen bonds",
"opt_B": "free radicals",
"opt_C": "allotropes",
"opt_D": "isotopes",
"opt_E": "nonpolar molecules",
"opt_F": "polar... |
"Problem Statement:\nThrough what potential must a proton initially at rest fall so that its de Broglie wavelength is $1.0 \\times 10^{-10} \\mathrm{~m}$ ?" | {
"stem_775": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.030V",
"opt_B": "0.001V",
"opt_C": "0.075V",
"opt_D": "0.100V",
"opt_E": "0.200V",
"opt_F": "0.250V",
"opt_G": "0.150V",
... |
"Problem Statement:\nSuperheated steam enters an adiabatic turbine at 400 lbf/in^2, 600°F and leaves at a pressure of 50 lbf/in^2 and a quality of 99.5%. If the temperature of the surroundings (T_0) is 60°F, calculate the turbine efficiency, effectiveness, and loss of available energy." | {
"stem_776": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Turbine efficiency: 69%, Effectiveness: 87%, Loss of available energy: -33 Btu/lbm",
"opt_B": "Turbine efficiency: 78%, Effectiveness: 83%, Loss of available... |
"Problem Statement:\nThe relationship introduced in Problem $1-48$ has been interpreted to mean that a particle of mass $m\\left(E=m c^2\\right)$ can materialize from nothing provided that it returns to nothing within a time $\\Delta t \\leq h / m c^2$. Particles that last for time $\\Delta t$ or more are called real p... | {
"stem_777": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.0 x 10^-23 s",
"opt_B": "2.9$10^{-23} \\mathrm{~s}$ ",
"opt_C": "3.0 x 10^-22 s",
"opt_D": "2.5$10^{-23} \\mathrm{~s}$",
"opt_E": "1.2 x ... |
"Problem Statement:\nDetermine the available energy that can be associated with a 10 m^3 perfect vacuum and its surroundings at a pressure of 0.100MPaand at a temperature of 300K." | {
"stem_778": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "750 kJ",
"opt_B": "1,500 kJ",
"opt_C": "250 kJ",
"opt_D": "2,000 kJ",
"opt_E": "1,250 kJ",
"opt_F": "1,000 kJ",
"opt_G": "600 k... |
"Problem Statement:\nEstimate the zero-point entropy of NO." | {
"stem_779": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.98 cal mol^-1 K^-1",
"opt_B": "1.10 cal mol^-1 K^-1",
"opt_C": "3.20 cal mol^-1 K^-1",
"opt_D": "2.50 cal mol^-1 K^-1",
"opt_E": "0.00 ca... |
"Problem Statement:\nWould you expect He_2^\\oplus to be more stable than He_2? Than He?" | {
"stem_780": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "He_2^\\oplus is the most stable among He, He_2, and He_2^\\oplus",
"opt_B": "He_2^\\oplus is more stable than He_2 but less stable than He",
"opt_C": "... |
"Problem Statement:\nDetermine the equation of state for a certain hypothetical gas whose thermal coefficient of expansion is \\alpha = (1 / V)(\\partialV / \\partialT)_P = k_1(C_P / C_V)T^{(C)P/(C)V}-1 and the coefficient of isothermal compressibility is \\beta = - (1 / V)(\\partialV / \\partialT)_P = (k_2 / P). In th... | {
"stem_781": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "P^(k)1V = k [T^{(C)P/(C)V} + k_1]",
"opt_B": "P^(k)2V = k [T^{(C)V/(C)P} + k_2]",
"opt_C": "PV = k exp [k_1 T^{(C)P/(C)V} + k_2]",
"opt_D": "P^(k... |
"Problem Statement:\nAir is estimated to be 20 mole percent O_2 and 80 mole percent N_2 and the total external surface area of an average human being is 2.0m^2. Estimate the number of collisions of air molecules per second with the surface of an average human being at 25°C and 1 atm." | {
"stem_782": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.14 × 10^25 collisions sec^-1",
"opt_B": "6.023 × 10^23 molecules mole^-1",
"opt_C": "1.23 × 10^22 collisions cm^-2 sec^-1",
"opt_D": "2 × 8.314... |
"Problem Statement:\nAlthough the crystallization of large biological molecules may not be as readily accomplished as that of small molecules, their crystal lattices are no different. Tobacco seed globulin forms face-centred cubic crystals with unit cell dimension of $12.3 \\mathrm{~nm}$ and a density of $1.287 \\mathr... | {
"stem_783": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.00 $10^4 \\mathrm{~g} \\mathrm{~mol}^{-1}$",
"opt_B": "2.15 $10^5 \\mathrm{~g} \\mathrm{~mol}^{-1}$",
"opt_C": "6.33 $10^5 \\mathrm{~g} \\mathrm{~mol... |
"Problem Statement:\nWhat is the molarity of a sodium hydroxide solution that requires 42.6 mL of 0.108 M HCl to neutralize 40.0 mL of the base?" | {
"stem_784": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.0641 M",
"opt_B": "0.045 M",
"opt_C": "0.250 M",
"opt_D": "0.200 M",
"opt_E": "0.400 mol/L",
"opt_F": "0.108 M",
"opt_G": "0.... |
"Problem Statement:\nUse the derivative property of Laplace transforms to solve the differential equation y' - y = e^-x(1) where y(0) = 0 is the initial value of y." | {
"stem_785": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "sinh x",
"opt_B": "e^x - e^-x",
"opt_C": "e^x + x",
"opt_D": "x^2 e^x",
"opt_E": "cosh x",
"opt_F": "(1 / 2)e^x - (1 / 2)e^-x",
... |
"Problem Statement:\nFind the general solution of Bessel's equation of order one." | {
"stem_786": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "y(x) = c_1 * sin(x) + c_2 * cos(x)",
"opt_B": "y(x) = c_1 * y_1(x)^2 + c_2 * y_2(x)^2",
"opt_C": "y(x) = c_1y_1(x) + c_2y_2(x)",
"opt_D": "y(x) =... |
"Problem Statement:\nFor a 40k resistor at a room temperature of 27°C, find the rmsthermal noise voltage for the following bandwidth range (a) 0 to 10 kHz and (b) 10 kHz to 25 kHz" | {
"stem_787": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.57 × 10^-6 volts_rms and 4.15 × 10^-6 volts_rms",
"opt_B": "3.57 × 10^-6 volts_rms and 3.15 × 10^-6 volts_rms",
"opt_C": "2.57 × 10^-6 volts_rms and ... |
"Problem Statement:\nHow many moles are there in one atom?" | {
"stem_788": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2 moles",
"opt_B": "0 moles",
"opt_C": "3.01 × 10^-23 moles",
"opt_D": "12.04 × 10^23 moles",
"opt_E": "1.66 × 10^-24 moles",
"opt_F"... |
"Problem Statement:\nDetermine the latent heat of vaporization of liquid carbon tetrachlorideat its boiling point of 350°K. The vapor pressure ofCCl_4 is a function of temperature and is given by: gP= - 2,400T^-1 - 5.30logT+ 23.60 (P = mmHg). Assume ideal gas behavior." | {
"stem_789": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6,800 cal/mole",
"opt_B": "8,300 cal/mole",
"opt_C": "7,000 cal/mole",
"opt_D": "6,300 cal/mole",
"opt_E": "7,300 cal/mole",
"opt_F":... |
"Problem Statement:\nA 2.0 L flask holds 0.40 g of helium gas. If the helium is evacuated into a larger container while the temperature is held constant, what will the effect on the entropy of the helium be?" | {
"stem_790": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "It will increase as the gas molecules will be more dispersed in the larger flask.",
"opt_B": "It will remain constant as the helium is simply transferred to ... |
"Problem Statement:\nWhat wavelength of light is needed to excite an electron in a 0.2 nanometer (1 nm = 10^-9 m) box from the ground state to the second excited state? What wavelength of light is emitted when the same electron falls from the second excited state to the first excited state?" | {
"stem_791": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.510 nm, 24.412 nm",
"opt_B": "19.510 nm, 29.412 nm",
"opt_C": "15.510 nm, 25.412 nm",
"opt_D": "20.510 nm, 30.412 nm",
"opt_E": "22.510 ... |
"Problem Statement:\nFind the input impedance of a 50 ohm line terminated in + j50 ohms, for a line length such that \\betal = \\pi radian." | {
"stem_792": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100 ohms",
"opt_B": "0 ohms",
"opt_C": "- 50j ohms",
"opt_D": "-100j ohms",
"opt_E": "+ 25j ohms",
"opt_F": "50 ohms",
"opt_G":... |
"Problem Statement:\nThe temperature of a tungsten filament of a light bulb is 6000°R.Calculate the energy emitted by the bulb in the visiblewavelength spectrum from 0.4\\mumto 0.7\\mum, consideringit as a grey body." | {
"stem_793": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "18.34%",
"opt_B": "9.97%",
"opt_C": "15.23%",
"opt_D": "13.89%",
"opt_E": "22.30%",
"opt_F": "20.58%",
"opt_G": "12.16%",
... |
"Problem Statement:\nYou are given that the ionization energy of a hydrogen atom is 13.527eV, calculate the second ionization energy of a helium atom. The general equation for the lines in the emis-sion spectra of one electron system such as H, He^+ , Li^2+ and Be^3+ is given as ѵ= Z^2 R_H{(1/n^2_1) - (1/n^2_2)} whereѵ... | {
"stem_794": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "13.527eV",
"opt_B": "162.324eV",
"opt_C": "21.654eV",
"opt_D": "108.216eV",
"opt_E": "40.581eV",
"opt_F": "54.108eV",
"opt_G": ... |
"Problem Statement:\nA chemist has a solution which contains Zn^2+ and Cu^2+, each at .02M. If the solution is made 1M in H_3O+ and H_2S is bubbled in until the solution is saturated, will a precipitate form? K_sp of ZnS = 1 × 10-^22, K_sp of CuS = 8 × 10-^37, and K_eq for H_2S, when saturated, = 1 × 10-^22 ." | {
"stem_795": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Precipitation of CuS followed by ZnS",
"opt_B": "Precipitation of ZnS",
"opt_C": "Precipitation of CuS",
"opt_D": "Precipitation of an insoluble ... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the change in Gibbs energy of $35 \\mathrm{~g}$ of ethanol (mass density $0.789 \\mathrm{~g} \\mathrm{~cm}^{-3}$ ) when the pressure is increased isothermally from $1 \\mathrm{~atm}$ to $3000 \\math... | {
"stem_796": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25$\\text{kJ}$",
"opt_B": "10$\\text{kJ}$",
"opt_C": "5$\\text{kJ}$",
"opt_D": "20$\\text{kJ}$",
"opt_E": "17$\\text{kJ}$",
"opt_F": ... |
"Problem Statement:\nDesign a connecting bar for an agricultural engine subjected to a compressive load of 90,000 lbs. The length of the bar is 0.95 ft. Assume the bar to be circular, and the factor of safety = 3.0, E = 31 × 10^6 psi." | {
"stem_797": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.836 in.",
"opt_B": "1.036 in.",
"opt_C": "2.036 in.",
"opt_D": "1.336 in.",
"opt_E": "0.936 in.",
"opt_F": "1.236 in.",
"opt_... |
"Problem Statement:\nWhat is steady state heat transfer?" | {
"stem_798": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Steady state heat transfer is when the rate of energy in equals the rate of energy out, with no accumulation of energy.",
"opt_B": "Steady state heat transfe... |
"Problem Statement:\nCalculate the pH of a 0.2 M NH_3 solution for which K_b = 1.8 × 10^-5 at 25°C. The equation for the reaction is NH_3 + H_2O \\rightleftarrows NH_4^+ + OH^-." | {
"stem_799": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10.75",
"opt_B": "11.5",
"opt_C": "9.82",
"opt_D": "11.73",
"opt_E": "9.50",
"opt_F": "12.2",
"opt_G": "11.28",
"opt_H": ... |
"Problem Statement:\nWhat is the molar mass of a monoprotic weak acid that requires 26.3 mL of 0.122 M KOH to neutralize 0.682 gram of the acid?" | {
"stem_800": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "26.3 g mol-1",
"opt_B": "500 g mol-1",
"opt_C": "212 g mol-1",
"opt_D": "0.122 g mol-1",
"opt_E": "1.22 g mol-1",
"opt_F": "682 g mol... |
"Problem Statement:\nDo $\\mathrm{HF} / 6-31 \\mathrm{G}^*$ geometry optimizations on one conformers of $\\mathrm{HCOOH}$ with $\\mathrm{OCOH}$ dihedral angle of $0^{\\circ}$. Calculate the dipole moment." | {
"stem_801": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.85 $\\mathrm{D}$",
"opt_B": "1.89 $\\mathrm{D}$",
"opt_C": "3.05 D",
"opt_D": "1.41 $\\mathrm{D}$",
"opt_E": "0.50 D",
"opt_F": "2.... |
"Problem Statement:\nDetermine the maximum discharge of water at 32°F that may be carried by a 3-in venturimeter, which has a coefficient of velocity of 0.95 without cavitation when the inlet pressure is 24 psia." | {
"stem_802": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.62",
"opt_B": "0.5",
"opt_C": "0.75",
"opt_D": "0.7163",
"opt_E": "0.92",
"opt_F": "0.85",
"opt_G": "0.8",
"opt_H": "0.... |
"Problem Statement:\nDetermine the value of (0.0081)^\\rule{1em}{1pt}3/4." | {
"stem_803": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(100) / (27)",
"opt_B": "(1000) / (81)",
"opt_C": "(1000) / (9)",
"opt_D": "(10) / (27)",
"opt_E": "(100) / (3)",
"opt_F": "(1000) / ... |
"Problem Statement:\nCalculate the heat transfer coefficient for water traveling at a velocity of 15 ft/sec in a (3/4) in. 20 BWG tube. Bulk temperatures at the entrance and exit are 65°F and 125°F, respectively. The wall surface tempera-ture is 170°F." | {
"stem_804": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2200 Btu/hr-ft^2-°F, 2400 Btu/hr-ft^2-°F, 2600 Btu/hr-ft^2-°F",
"opt_B": "2600 Btu/hr-ft^2-°F, 2800 Btu/hr-ft^2-°F, 3000 Btu/hr-ft^2-°F",
"opt_C": "293... |
"Problem Statement:\nThe ion Ti^3+ has one unpaired electron. Calculate the con-tribution of the spin of this electron (a) to the magnetic moment of the ion and (b) to the molar magnetic suscepti-bility of Ti^3+ at 298 K." | {
"stem_805": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.606 × 10^-19 erg gauss^-1, 1.258 × 10^-2",
"opt_B": "1.606 × 10^-18 erg gauss^-2, 1.258 × 10^-3",
"opt_C": "1.606 × 10^-20 erg gauss^-1, 1.258 × 10^-... |
"Problem Statement:\nFor 1000 seconds, a current of 0.0965 amp is passed through a 50 ml. of 0.1 M NaCl. You have only the reduction of H_2O to H_2 at the cathode and oxidation of Cl^- to Cl_2 at the anode. Determine the average concentration of OH^- in the final solution." | {
"stem_806": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.05M",
"opt_B": "0.02M",
"opt_C": "0.01M",
"opt_D": "0.03M",
"opt_E": "0.04M",
"opt_F": "0.015M",
"opt_G": "0.005M",
"op... |
"Problem Statement:\nA sample of beryllium powder was placed in a box having an effusion hole of 3.18 mm in diameter. After 15.2 min and a temperature of 1537°K , 8.88 mg of the powder had effused. Use the method of Knudsen to determine the vapor pressure of Be at 1537°K ." | {
"stem_807": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.17 × 10^-4 atm",
"opt_B": "5.67 × 10^-5 atm",
"opt_C": "6.67 × 10^-5 atm",
"opt_D": "4.67 × 10^-5 atm",
"opt_E": "7.67 × 10^-6 atm",
... |
"Problem Statement:\nFind the net dipole moment inDebyesfor each of the following situations: (a) One + 1 and one - 1 ion se-parated by 2 × 10^-8 cm, and (b) one +2 and one - 2 ion separated by 2 × 10^-8 cm. One charge = 4.80 × 10^-10esuand 1 Debye = 1 × 10^-18esu-cm." | {
"stem_808": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10.8 Debyes, 21.6 Debyes",
"opt_B": "10.2 Debyes, 20.4 Debyes",
"opt_C": "8.6 Debyes, 17.2 Debyes",
"opt_D": "8.0 Debyes, 16.0 Debyes",
"op... |
"Problem Statement:\n2,300 volt60-cycle power transformer. r_1 = 1.28 ohmsr_2 = 0.0467 ohm x_1= 4.24 ohmsx_2 = 0.162 ohm Calculate the regulation using the per-unit method." | {
"stem_809": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.25 per cent",
"opt_B": "1.2 per cent",
"opt_C": "1.5 per cent",
"opt_D": "3.0 per cent",
"opt_E": "1.75 per cent",
"opt_F": "2.5 pe... |
"Problem Statement:\nA sinusoidal signal is analog signal, because" | {
"stem_810": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "it is a square wave signal",
"opt_B": "it has a constant frequency",
"opt_C": "it is positive for one half cycle",
"opt_D": "it can only have a s... |
"Problem Statement:\nAt one point in an air duct the temperature of the flow is 200°F and the local pressure is 30psia. At this point the cross-sectionalarea of the duct is 1 ft^2. Downstream of this pointthe flow temperature is 30°F at a point where the pressureis 15psiaand the area of flow is 0.3 ft^2. Calculate thev... | {
"stem_811": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1,300 fps and 0.8 slugs/sec",
"opt_B": "1,200 fps and 0.9 slugs/sec",
"opt_C": "1,400 fps and 1.0 slugs/sec",
"opt_D": "1,100 fps and 0.85 slugs/... |
"Problem Statement:\nCarbon dioxide from an aqueous solution has to be removed by an air stream flowing at 3.0 ft/sec using 3 in. internal diameter wetted wall column. At one point in the column the CO_2 concentration in air stream is 1 mole percent and in the water is 0.5 mole percent. If the column is operated at 10 ... | {
"stem_812": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "90 ft/hr and 2.0 lb mole/hr. ft^2",
"opt_B": "93 ft/hr and 2.1 lb mole/hr. ft^2",
"opt_C": "86 ft/hr and 1.65 lb mole/hr. ft^2",
"opt_D": "84 ft/... |
"Problem Statement:\nAn air compressor takes in 2 ft^3/lb of air at 15psiaand compresses it to a pressure of 110psia. The specific volume at discharge is 0.5 ft^3/lb. Calculate the amount of heat transferred if the increase in internal energy is 40 Btu/lb and the work done is 70 Btu/lb." | {
"stem_813": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10 Btu/lb",
"opt_B": "- 15.37 Btu/lb",
"opt_C": "- 35.37 Btu/lb",
"opt_D": "20.37 Btu/lb",
"opt_E": "- 20.37 Btu/lb",
"opt_F": "- 30.... |
"Problem Statement:\nHelium effuses through a pinhole 5.33 times faster than an unknown gas. That gas is most likely" | {
"stem_814": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Ne",
"opt_B": "CO2",
"opt_C": "Ar",
"opt_D": "CH4",
"opt_E": "O2",
"opt_F": "C5H12",
"opt_G": "SO2",
"opt_H": "N2",
... |
"Problem Statement:\nA chemist wants to make up a 50 ml solution of pH 1.25HCl. TheHClis labeled 11.6 M. How should she go about the preparation?" | {
"stem_815": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Add 50 ml of H_2O to 0.24 ml of HCl",
"opt_B": "Add 49.76 ml of H_2O to 0.24 ml of the concentratedHCl",
"opt_C": "Add 40 ml of H_2O to 10 ml of HCl",
... |
"Problem Statement:\nA six-pole generator requires 4.5 amp shunt-field excitation to give rated voltage at no load, and 7.0 amp to give the same voltage at rated load of 200 amp. There are 750 shunt-field turns per pole. (a) How many series turns must be added to give flat-compound operation, using the short-shunt conn... | {
"stem_816": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.4, 0.095 ohm",
"opt_B": "8.4, 0.107 ohm",
"opt_C": "11.0, 0.110 ohm",
"opt_D": "9.4, 0.117 ohm",
"opt_E": "10.4, 0.107 ohm",
"opt_F... |
"Problem Statement:\nThe +1 oxidation state is more stable than the +3 oxidation state for which group 13 element?" | {
"stem_817": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Al",
"opt_B": "Tl",
"opt_C": "C",
"opt_D": "B",
"opt_E": "Si",
"opt_F": "P",
"opt_G": "N",
"opt_H": "Ga",
"opt_I": ... |
"Problem Statement:\nThe electric displacementDin a given spherical region is given as D= {(5r^2) / 4} r̂ (C/m^2) Determine the total charge enclosed by the volume r = 4m, and \\texttheta = \\pi/4." | {
"stem_818": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "589.1 c",
"opt_B": "450.5 c",
"opt_C": "900.3 c",
"opt_D": "680.4 c",
"opt_E": "550.8 c",
"opt_F": "735.2 c",
"opt_G": "812.7 c... |
"Problem Statement:\nA mixture of oil (sp. gr. = 0.88) and air consists of drops of oil witha diameter of 3.5 × 10^-5 ft. If a settling time of 90 seconds is allowed, find the maximum height of the chamberrequired for the oil drops to settle. Take density and viscosityof air as 0.075 lb/ft^3 and 1.2 × 10^-5 lb/ft-s res... | {
"stem_819": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.9 ft",
"opt_B": "2.0 ft",
"opt_C": "1.8 ft",
"opt_D": "0.7 ft",
"opt_E": "0.6 ft",
"opt_F": "1.2 ft",
"opt_G": "0.5 ft",
... |
"Problem Statement:\nCalculate the horsepower transmitted by a shaft rotating at 1100 rpm and subjected to a force of 120 lbs. along the axis. It carries a multiple disc-clutch having 12 steel and 10brass discsof outer and inner diameters 10 in. and 8 in., respectively. The coefficient of friction can be taken as 0.30.... | {
"stem_820": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "48.90 hp",
"opt_B": "59.64 hp",
"opt_C": "42.67 hp",
"opt_D": "63.29 hp",
"opt_E": "50.25 hp",
"opt_F": "82.34 hp",
"opt_G": "7... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. Calculate the work needed for a $65 \\mathrm{~kg}$ person to climb through $4.0 \\mathrm{~m}$ on the surface of the Moon $\\left(g=1.60 \\mathrm{~m} \\mathrm{~s}^{-2}\\right)$." | {
"stem_821": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$3.8 \\times 10^2$ $\\mathrm{J}$",
"opt_B": "$1.04 \\times 10^3$ $\\mathrm{J}$",
"opt_C": "$6.0 \\times 10^2$ $\\mathrm{J}$",
"opt_D": "$4.2 \\ti... |
"Problem Statement:\nTwocounterflowheat exchangers connected in series are used to heat 283.2 L^3/sec of air from 22°C to 30°C, using water at 35°C. Determine the effectiveness and the quantity UA for each exchanger." | {
"stem_822": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Effectiveness = 0.700, UA = 250 W/°C",
"opt_B": "Effectiveness = 0.825, UA = 400 W/°C",
"opt_C": "Effectiveness = 0.480, UA = 175 W/°C",
"opt_D":... |
"Problem Statement:\nIn a study of the equilibrium, H_2 + I_2 = 2HI, a certain number of moles x of HI are formed when 1 mole of H_2 and 3 moles of I_2 are introduced into a flask of volume V at temperature T. On introducing 2 additional moles of H_2, the amount of HI formed is found to be 2x. CalculateK_p." | {
"stem_823": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6",
"opt_B": "4",
"opt_C": "7",
"opt_D": "5",
"opt_E": "8",
"opt_F": "3.5",
"opt_G": "1.5",
"opt_H": "2",
"opt_I": ... |
"Problem Statement:\nHydrogen chloride (HCl) is used industrially in the manufacture of fabric dyes. The acidic properties of HCl arise because the H-Cl bond is polar. The observed dipole moment, u_obs, of HCl is 1.03 D and the H-Cl bond distance is 1.28 \\AA. Estimate the percent ionic character of the HCl bond. Elect... | {
"stem_824": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20.5 %",
"opt_B": "19.3 %",
"opt_C": "23.7 %",
"opt_D": "16.8 %",
"opt_E": "25.2 %",
"opt_F": "18.4 %",
"opt_G": "10.9 %",
... |
"Problem Statement:\nCalculate the safe thickness of the shield coating necessary ona radioactive waste spherical ball of 1 ft. radius to be dumpedin the ocean with ambient water temperature of 50°F.The waste ball gives off heat at the rate of 440 Btu/hr. The thermal conductivity of the shielding material is k = 0.02 B... | {
"stem_825": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4 ft",
"opt_B": "3 ft or 36 in",
"opt_C": "1.5 ft or 18 in",
"opt_D": "0.5 ft",
"opt_E": "0.1 ft or 1.2 in",
"opt_F": "0.75 ft or 9 i... |
"Problem Statement:\nA reaction takes place in presence of air in a fluidized coal reactorat 1200°K, with the limiting factor being the diffusion ofoxygen counter to that of carbon monoxide formed at the particlesurface. The spherical coal particle of diameter 2.0 × 10^-4m consists of pure carbon of density 1.35 × 10^3... | {
"stem_826": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.98 sec",
"opt_B": "1.08 sec",
"opt_C": "0.67 sec",
"opt_D": "0.81 sec",
"opt_E": "0.30 sec",
"opt_F": "1.75 sec",
"opt_G": "2... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.