state unknown | questions unknown |
|---|---|
"Problem Statement:\nThe single DNA molecule in an E. coli chromosome (MW = 2.80 × 10^9) contains about 4.5 million mononucleotide units which are spaced about 3.4 \\AA apart. Calculate the total length of this DNA molecule and compare it with the length of the E. coli cell." | {
"stem_516": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "720 times as long as the cell",
"opt_B": "850 times as long as the cell",
"opt_C": "700 times as long as the cell",
"opt_D": "500 times as long a... |
"Problem Statement:\nIndicate the equilibrium equation and constant expression for theautoprotolysisof liquid ammonia. If KNH_3 = 10^-22 , how many molecules of ammonia are ionized in 1 mole of ammonia? Assume a density of 0.771g/ml for ammonia." | {
"stem_517": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "45.3M molecules",
"opt_B": "1.00 × 10^10 molecules",
"opt_C": "2.66 × 10^11 molecules",
"opt_D": "7.50 × 10^8 molecules",
"opt_E": "5.55 × ... |
"Problem Statement:\nThe flux of visible photons reaching Earth from the North Star is about $4 \\times 10^3 \\mathrm{~mm}^{-2} \\mathrm{~s}^{-1}$. Of these photons, 30 per cent are absorbed or scattered by the atmosphere and 25 per cent of the surviving photons are scattered by the surface of the cornea of the eye. A ... | {
"stem_518": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.2 $10^3$",
"opt_B": "2.5 $10^3$",
"opt_C": "6.1 $10^3$",
"opt_D": "4.4 $10^3$",
"opt_E": "5.8 $10^3$",
"opt_F": "6.6 $10^3$",
... |
"Problem Statement:\nThe freezing point constant of toluene is 3.33°C per mole per 1000 g. Calculate the freezing point of a solution prepared by dissolving 0.4 mole of solute in 500 g of toluene. The freezing point of toluene is - 95.0°C." | {
"stem_519": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 92.34°C",
"opt_B": "- 89.66°C",
"opt_C": "- 88.0°C",
"opt_D": "- 90.0°C",
"opt_E": "- 97.66°C",
"opt_F": "- 100.0°C",
"opt_G"... |
"Problem Statement:\nWhen 4.90 g of KCLO_3 was heated, it showed a weight loss of 0.384 g. Find the percent of the original KCLO_3 that had decomposed." | {
"stem_520": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "50%",
"opt_B": "20%",
"opt_C": "30%",
"opt_D": "40%",
"opt_E": "25%",
"opt_F": "10%",
"opt_G": "7.84%",
"opt_H": "35%",
... |
"Problem Statement:\nTheRydberg- Ritz equation governing the spectral lines of hydrogen is (1/\\lambda) = R [(1/n_1 ^2) - (1/n_2 ^2)], where R is the Rydberg constant, n_1 indexes the series under consideration (n_1 = 1 for the Lyman series, n_1 = 2 for theBalmerseries, n_1 = 3 for thePaschenseries), n_2 = n_1 + 1, n_1... | {
"stem_521": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "109660 cm^-1 and 109680 cm^-1",
"opt_B": "109675 cm^-1 and 109685 cm^-1",
"opt_C": "109655 cm^-1 and 109695 cm^-1",
"opt_D": "109690 cm^-1 and 10... |
"Problem Statement:\nMagnesium has an atomic radius of 160 pm and a first ionization energy of 737 kJ. Based on periodic trends and the data given above, what are the most probable values for the ionization energy and atomic radius of sodium?" | {
"stem_522": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "186 pm, 898 kJ/mol",
"opt_B": "170 pm, 600 kJ/mol",
"opt_C": "135 pm, 523 kJ/mol",
"opt_D": "186 pm, 496 kJ/mol",
"opt_E": "147 pm, 523 kJ/... |
"Problem Statement:\nAt 1000°K, K = 2.37 × 10-^14 for the reaction, N_2 (g) + 3H_2 (g) \\rightleftarrows 2NH_3 (g) . If you inject one mole of each N_2 and H_2 in a one-liter box at 1000°K, what per cent of the H_2 will be converted to NH_3 at equilibrium?" | {
"stem_523": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10.2%",
"opt_B": "6.5%",
"opt_C": "8.4%",
"opt_D": "3.2%",
"opt_E": "5.0%",
"opt_F": "18.7%",
"opt_G": "15.0%",
"opt_H": ... |
"Problem Statement:\nA spherical ball, 1 in. in radius and at a temperature of 800°F, is suddenly quenched in a large pool of liquid which ismaintained at 280°F. Estimate the surface temperature of theball after one hour. The average convective heat transfer coefficienth = 2 Btu/hr ft^2°F. The properties of the ball ma... | {
"stem_524": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "600°F",
"opt_B": "417°F",
"opt_C": "650°F",
"opt_D": "280°F",
"opt_E": "325°F",
"opt_F": "800°F",
"opt_G": "500°F",
"opt_... |
"Problem Statement:\nLithium oxide (Li_2 O, molecular weight = 30 g/mole) re-acts with water (H_2 O, molecular weight = 18 g/mole, density =1.0 g/cm^3) to produce lithium hydroxide (LiOH) according to the following reaction: Li_2 O + H_2 O + 2LiOH. What mass of Li_2 O is required to completely react with 24 liters of H... | {
"stem_525": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "55 kg",
"opt_B": "60 kg",
"opt_C": "50 kg",
"opt_D": "45 kg",
"opt_E": "30 kg",
"opt_F": "40 kg",
"opt_G": "25 kg",
"opt_... |
"Problem Statement:\nFor point-to-point communication at higher frequencies, the desiredradiation pattern is a single narrow lobe or beam. To obtainsuch a characteristic (at least approximately) a multi-elementlinear array is usually used. An array is linear whenthe elements of the ar-ray are spaced equally along a str... | {
"stem_526": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.512",
"opt_B": "0.612",
"opt_C": "0.212",
"opt_D": "0.212 (with a different phase shift)",
"opt_E": "0.412",
"opt_F": "0.312",
... |
"Problem Statement:\nIf the power transfer function of a system is given as \\vertH(\\omega)\\vert^2 = [1 / {1 + (\\omega / B)^2}], determine its noise bandwidth, B_N. Note: B is the 3-dB bandwidth in radians/second and \\omega is the angular frequency." | {
"stem_527": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "B_N is equal to the square root of the system 3-dB bandwidth",
"opt_B": "B_N is equal to the system 3-dB bandwidth",
"opt_C": "B_N is 1.57 times larger... |
"Problem Statement:\nAt a temperature of 1482.53°K and 10.0atmthe equilibrium composi-tion of sodium vapor contains 71.30 weight percent sodium monomer (Na, g), and 28.70 weight percent sodium dimer (Na_2, g). Use the above data to calculateK_pfor the reaction2Na (g) \\rightleftarrows Na2(g)" | {
"stem_528": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.042",
"opt_B": "0.099",
"opt_C": "0.047",
"opt_D": "0.028",
"opt_E": "0.015",
"opt_F": "0.083",
"opt_G": "0.052",
"opt_... |
"Problem Statement:\nGiven the Laplace transform of i(t), L[i(t)] = I(s) = [{E - V(0^+)} / {R(s + (1 / RC))}] Determine i(0^+)." | {
"stem_529": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "[{E / (v(0^+) * R)}]",
"opt_B": "[{v(0^+) - E} / R]",
"opt_C": "[{E * v(0^+)} / R]",
"opt_D": "[{E - v(0^+)} * R]",
"opt_E": "[{E * R} / {v... |
"Problem Statement:\nThe horsepower required to pump oil (\\rho = 60 lb/ft^3, ѵ = 0.02 ft^2/sec) through a 4 in. diameter and 250 ft. long pipe is 6. If the efficiency of the pump is 75%, calculatethe mass flow rate through the pipe." | {
"stem_530": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "24 tons/hr",
"opt_B": "30 tons/hr",
"opt_C": "33 tons/hr",
"opt_D": "35 tons/hr",
"opt_E": "20 tons/hr",
"opt_F": "28 tons/hr",
... |
"Problem Statement:\nThe specific rate constant, k, for a certain first-order reaction is 86 h^-1. What mass of a 0.0500 g sample of starting material will remain after 58 s?" | {
"stem_531": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.00625 g",
"opt_B": "0.00078 g",
"opt_C": "0.0250 g",
"opt_D": "0.0125 g",
"opt_E": "0.0500 g",
"opt_F": "0.00312 g",
"opt_G":... |
"Problem Statement:\nConsider a kinetic experiment in which the chemical re-action is accompanied by a temperature change. Using the Heisenberg uncertainty principle, calculate the uncertainty in a simultaneous measurement of time and temperature." | {
"stem_532": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "∆T ∆t ≤ h/4π",
"opt_B": "∆T ∆t \\geq h/c",
"opt_C": "∆T ∆t = h^2/c^2",
"opt_D": "∆T ∆t = h/c",
"opt_E": "∆T ∆t \\geq 2πh",
"opt_F": "... |
"Problem Statement:\nCalculate the kinetic energy of an automobile weighing 2000 pounds and moving at a speed of 50 miles per hour. Record your answer in (a) Joules and (b) ergs." | {
"stem_533": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.0 × 10^5 Joules, 3.0 × 10^12 ergs",
"opt_B": "2.5 × 10^5 Joules, 2.5 × 10^12 ergs",
"opt_C": "2.0 × 10^5 Joules, 2.0 × 10^12 ergs",
"opt_D": "1... |
"Problem Statement:\nIf 1.588 g of nitrogen tetroxide gives a total pressure of 1 atm when partially dissociated in a 500-cm^3 glass vessel at 25°, what is the degree of dissociation, \\alpha? What is the value of K_p ? The equation for this reaction is N_2O_4\\rightarrow 2NO_2 ." | {
"stem_534": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Degree of dissociation, α: 0.1; Value of K_p: 0.08",
"opt_B": "Degree of dissociation, α: 0.16; Value of K_p: 0.12",
"opt_C": "Degree of dissociation, ... |
"Problem Statement:\nA long channel with a rectangular cross section and an unfinished concrete surface is 35 ft wide and has a constant slope of 0.5°. What is the water depth when the channel carries 3500 ft^3/s? TABLE VALUE OF MANNING COEFFICIENT n FOR VARIOUS SURFACES Type of channel surface Manning coefficient n We... | {
"stem_535": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7 ft",
"opt_B": "3 ft",
"opt_C": "3.5 ft",
"opt_D": "6 ft",
"opt_E": "9 ft",
"opt_F": "2.5 ft",
"opt_G": "10 ft",
"opt_H"... |
"Problem Statement:\nThe current through an inductor with inductance L = 10^-3 henryis given as i_L(t) = 0.1 sin 10^6t. Find the voltageV_L(t) across this inductor." | {
"stem_536": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.1cos10^6t",
"opt_B": "100cos10^6t",
"opt_C": "1cos10^6t",
"opt_D": "10^-3cos10^6t",
"opt_E": "0.01sin10^6t",
"opt_F": "10^4sin10^6t... |
"Problem Statement:\nWhat pressure is required to compress 5 liters of gas at 1 atm. pressure to 1 liter at a constant temperature?" | {
"stem_537": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3 atm",
"opt_B": "9 atm",
"opt_C": "5 atm",
"opt_D": "6 atm",
"opt_E": "10 atm",
"opt_F": "8 atm",
"opt_G": "4 atm",
"opt... |
"Problem Statement:\nA gaseous mixture of 90 mole percent hydrogen and 10 mole percent deuterium at 25 °C and a total pressure of 1 atm effuses through a small pin hole of area 0.30 mm^2. Calculate the composition of the initial gas that passes through." | {
"stem_538": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "mole % D2 = 92.7%, mole % H2 = 7.30%",
"opt_B": "mole % D2 = 12%, mole % H2 = 88%",
"opt_C": "mole % D2 = 7.30%, mole % H2 = 92.7%",
"opt_D": "mo... |
"Problem Statement:\nHeat is transferred to a cylinder having a volume of 5m^3 containing0.05 m^3 of saturated liquid water and 4.95 m^3 of saturatedwater vapor at 0.1MPa, until the cylinder is filled withsaturated vapor. Calculate the amount of heat transferredfor the process." | {
"stem_539": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "90000 kJ",
"opt_B": "130000 kJ",
"opt_C": "110000 kJ",
"opt_D": "125000 kJ",
"opt_E": "107500 kJ",
"opt_F": "99000 kJ",
"opt_G"... |
"Problem Statement:\nThe probability density of a signal is given by f(x) = K e^-\\vertx\\vertfor \\vertx\\vert < 4 and = 0otherwise (a) What is the step size S if there are four quanti-zation levels. (b) Find the value of the constant K. (c) Assume that there are four quantization levels and that f(x) is not constant ... | {
"stem_540": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Step size: 3; Constant K: 0.5093; Variance: 0.3739",
"opt_B": "Step size: 2; Constant K: 0.8; Variance: 0.3739",
"opt_C": "Step size: 2; Constant K: 0.... |
"Problem Statement:\nFind the input impedance of a 50-ohm line terminated in +j50 ohms, for a line length such that\\betad= (\\pi/1) radian." | {
"stem_541": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100 ohms",
"opt_B": "25 ohms",
"opt_C": "j100 ohms",
"opt_D": "50 ohms",
"opt_E": "- j50 ohms",
"opt_F": "-j100 ohms",
"opt_G":... |
"Problem Statement:\nCalculate the number of moles of air in a column 1 cm^2 in area and rising from sea level to an altitude of 1.5 × 10^6 cm (about 10 miles), allowing for the barometric decrease in pressure. Assume air to be a uniform gas of molecular weight 29, and a uniform temperature of 0°C. Note that the atmosp... | {
"stem_542": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25.6 moles",
"opt_B": "26.5 moles",
"opt_C": "33.6 moles",
"opt_D": "28.5 moles",
"opt_E": "32.4 moles",
"opt_F": "20.3 moles",
... |
"Problem Statement:\nNelson, et al. (Science 238, 1670 (1987)) examined several weakly bound gas-phase complexes of ammonia in search of examples in which the $\\mathrm{H}$ atoms in $\\mathrm{NH}_3$ formed hydrogen bonds, but found none. For example, they found that the complex of $\\mathrm{NH}_3$ and $\\mathrm{CO}_2$ ... | {
"stem_543": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.150",
"opt_B": "0.123",
"opt_C": "0.135",
"opt_D": "0.098",
"opt_E": "0.157",
"opt_F": "0.091",
"opt_G": "0.112",
"opt_... |
"Problem Statement:\nIn binary number system the first digit (bit) from right to left is called as" | {
"stem_544": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "First Significant Bit",
"opt_B": "MSB, Most Significant Bit",
"opt_C": "LSB, Least Significant Bit",
"opt_D": "Last Bit",
"opt_E": "Binary ... |
"Problem Statement:\nCalculate the recoil energy of an atom of mass 10, following emission of a 2Mevgamma ray." | {
"stem_545": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "550ev",
"opt_B": "400ev",
"opt_C": "75ev",
"opt_D": "214ev",
"opt_E": "100ev",
"opt_F": "150ev",
"opt_G": "320ev",
"opt_H... |
"Problem Statement:\nIn a chemical reaction requiring two atoms of phosphorus for five atoms of oxygen, how many grams of oxygen are required by 3.10 g of phosphorus?" | {
"stem_546": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9.30 g O",
"opt_B": "2.50 g O",
"opt_C": "4.00 g O",
"opt_D": "5.00 g O",
"opt_E": "3.10 g O",
"opt_F": "8.00 g O",
"opt_G": "1... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the change in entropy when $25 \\mathrm{~kJ}$ of energy is transferred reversibly and isothermally as heat to a large block of iron at $0^{\\circ} \\mathrm{C}$." | {
"stem_547": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "135$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_B": "50$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_C": "150$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_D": "100$\\ma... |
"Problem Statement:\nDetermine if the function f(x, y) = [(x^2 - y^2) / (x^2 + y^2)](1) iscontinuous at the origin." | {
"stem_548": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The function is continuous at (0, 0)",
"opt_B": "The function is continuous along the line y = x",
"opt_C": "The function has a removable discontinuity... |
"Problem Statement:\nA shaft distributes mechanical power of 160 hp at a speed of 400 rpm. It is subjected to sudden loading and heavy shock conditions with a maximum bending moment of 32,000 lbs-in. Assuming that the shaft has a keyway and considering the ASME code, calculate the suitable diameter for the shaft." | {
"stem_549": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5 in.",
"opt_B": "4 in.",
"opt_C": "3 7/8 in.",
"opt_D": "3 1/2 in.",
"opt_E": "4 1/2 in.",
"opt_F": "4 3/4 in.",
"opt_G": "4 3... |
"Problem Statement:\nA sample of bristle cone pine wood of age 7,000 \\pm 100 years, known by counting growth rings, possesses an activity of 6.6 d (disinte-grations) /minute-g of carbon. Calculate the exact age of the wood sample from radiochemical evidence." | {
"stem_550": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6,750 years old",
"opt_B": "5,500 years old",
"opt_C": "6,000 years old",
"opt_D": "7,000 years old",
"opt_E": "6,225 years old",
"op... |
"Problem Statement:\nCompute the heat absorbed by a body which is exposed to anelectric heater releasing energy at the rate of 1850 W/m. The absorbing body accepts 95% of the radiation falling bove2.7\\mum and 30% of radiation below 2.7\\mum. The dia-meterof the heating element is 25 mm while the two bodiesare 10 cm ap... | {
"stem_551": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1000 W/m^2",
"opt_B": "1875 W/m^2",
"opt_C": "3122 W/m^2",
"opt_D": "2615 W/m^2",
"opt_E": "3500 W/m^2",
"opt_F": "2168\\mumK",
... |
"Problem Statement:\nWhat is the limiting high-temperature molar heat capacity at constant volume (C_V) of a gas-phase diatomic molecule?" | {
"stem_552": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.5R",
"opt_B": "2.2R",
"opt_C": "1R",
"opt_D": "4R",
"opt_E": "2R",
"opt_F": "2.5R",
"opt_G": "5R",
"opt_H": "3R",
... |
"Problem Statement:\nConsider an atom containing one electron and having an atomic number Z. It is observed that light of a wave-length of 0.1 nm will excite this atom from the ground state to infinite ionization. Determine the value of Z." | {
"stem_553": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "30 protons",
"opt_B": "25 protons",
"opt_C": "55 protons",
"opt_D": "45 protons",
"opt_E": "50 protons",
"opt_F": "60 protons",
... |
"Problem Statement:\nThe maximum weekly dose for the hands and forearms, as-suming a mass of 6kg and a surface area of 950 cm^2, is 2.0 rem. How long would it take for a person to receive this dose from a 15millicuriesource emitting a 3.0MeVgamma ray? The distance between the source and the receiving surface is 15 cm. ... | {
"stem_554": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10 min",
"opt_B": "35 min",
"opt_C": "20 min",
"opt_D": "18 min",
"opt_E": "45 min",
"opt_F": "22.6 min",
"opt_G": "15 min",
... |
"Problem Statement:\nA liquid is compressed isothermally inside a chamber. Obtain an expression for the total amount of work required if the compression process isquasistaticand is given by the equation In (V / V_0) = - A(p - p_0) where A, V_0 and p_0 are constants." | {
"stem_555": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "W = (AV_0) (1 / p_2 - 1 / p_1)",
"opt_B": "W = (A / V_0) (p_1 - p_2)",
"opt_C": "W = (A / V_0) ln(p_2 / p_1)",
"opt_D": "W= (AV / 2) (p_2^2 - p_1... |
"Problem Statement:\nWhat will be the final concentration of a solution of 50 ml of .5M H_2SO_4 added to 75 ml of .25M H_2SO_4 (the final volume is 125 ml)?" | {
"stem_557": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.375 M H_2SO_4",
"opt_B": "0.25 M H_2SO_4",
"opt_C": "35 M H_2SO_4",
"opt_D": "0.45 M H_2SO_4",
"opt_E": "50 M H_2SO_4",
"opt_F": "0... |
"Problem Statement:\nA polished stainless steel surface is electrically heated from the bottom to boil water at atmospheric pressure. If the surface temperature is 230 F, calculate the heat flux from the surface to the water and compare this value with the critical heat flux of nucleate boiling." | {
"stem_558": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15000 Btu/hr-ft^2",
"opt_B": "30000 Btu/hr-ft^2",
"opt_C": "22000 Btu/hr-ft^2",
"opt_D": "5000 Btu/hr-ft^2",
"opt_E": "16000 Btu/hr-ft^2",
... |
"Problem Statement:\nObtain the time function corresponding to F(s) = [(s^2 + 3s + 1) / {(s + 1)^3 (s + 2)^2}]" | {
"stem_559": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "F(t) = - (3/2) t^2e^-t + 5te^-t - 6e^-t + (2/3)te^-2t + 3e^-2t",
"opt_B": "F(t) = (1/3) t^2e^-t - te^-t + e^-t - (2/3)te^-2t - 3e^-2t",
"opt_C": "F(t) ... |
"Problem Statement:\nConsider a plane aluminum (k = 120 Btu/hr-ft-°F) wall at a steady temperature of 650°F. In order to increase the heat dissipation rate to surrounding air at 75°F, three aluminum pin-shaped fins per square inch are attached to the wall. Each fin is of 1/8 in diameter and 1 in long. Determine the per... | {
"stem_560": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100%",
"opt_B": "75%",
"opt_C": "90%",
"opt_D": "80%",
"opt_E": "95%",
"opt_F": "65%",
"opt_G": "60%",
"opt_H": "55%",
... |
"Problem Statement:\nThe current through an inductor with inductance L = 10^-3 henry is given as i_L (t) = 0.1 sin 10^6t. Find the voltage\\nu_L(t) across this inductor." | {
"stem_561": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1000sin10^6t",
"opt_B": "100sin10^6t",
"opt_C": "50cos10^6t",
"opt_D": "1000cos10^6t",
"opt_E": "0.1cos10^6t",
"opt_F": "0.1sin10^6t"... |
"Problem Statement:\nUse the sum of the steady-state and homogeneous solutions to find a sequence y [n] such that y [n] - (5/6)y [n - 1] + (1/6)y [n - 2] = 2, y [- 1] = 1, and y [-2] = - 7." | {
"stem_562": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6 - (1/2)^n + (1/3)^n",
"opt_B": "6 - (1/2)^n - (1/3)^n",
"opt_C": "6 - (1/4)^n + (1/6)^n",
"opt_D": "6 + (1/2)^n - (1/3)^n",
"opt_E": "6 -... |
"Problem Statement:\nWhat is the maximum value of the z-component of the spin angular momentum of 43Ca? [I = 7⁄2]" | {
"stem_563": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10.492 x 10^-34 J s",
"opt_B": "2.549 x 10^-34 J s",
"opt_C": "5.493 x 10^-34 J s",
"opt_D": "4.185 x 10^-34 J s",
"opt_E": "1.238 x 10^-34... |
"Problem Statement:\nFind an expression for the coefficient of compressibility at constanttemperature for an ideal gas." | {
"stem_564": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(p^2) / (mRT)",
"opt_B": "(RT) / (pV)",
"opt_C": "(nRT) / (pV^2)",
"opt_D": "(mRT) / p^2",
"opt_E": "(RT) / p^2",
"opt_F": "(1/V^2)",... |
"Problem Statement:\nFind the equilibrium constant for the reaction CO + H_2O \\rightarrow CO_2 + H_2 at77°F. Assume ideal gas behavior." | {
"stem_566": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "120,000",
"opt_B": "65,000",
"opt_C": "85,000",
"opt_D": "130,000",
"opt_E": "98,000",
"opt_F": "55,000",
"opt_G": "45,000",
... |
"Problem Statement:\nAir flows through a pipe, and cooling is achieved by means of forced convection. Air flowing at a speed of 100 ft/sec enters the pipe at a temperature and pressure of 68°F and 14.2 psi, respectively. The pipe is 3 ft. in length, with a 0.8 in. diameter. The wall surface temperature is 200°F. If the... | {
"stem_567": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1750 Btu/hr",
"opt_B": "1650 Btu/hr",
"opt_C": "1571.56 Btu/hr",
"opt_D": "1500 Btu/hr",
"opt_E": "1600 Btu/hr",
"opt_F": "1432.22 Bt... |
"Problem Statement:\nDetermine the humidity of the air if the wet-bulb temperature is70°F and dry-bulb temperature is 90°F." | {
"stem_569": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.031 lb water vapor/lb dry air",
"opt_B": "0.022 lb water vapor/lb dry air",
"opt_C": "0.025 lb water vapor/lb dry air",
"opt_D": "0.035 lb wate... |
"Problem Statement:\n(a) Two single-phase alternators are in parallel and operatingin synchronism. One machine has a sine wave effectivevoltage of 100 volts, the second has a square flat-top wave form of 100 volts effective. What is the maximum instantaneous circulating current between the two machines , if the synchro... | {
"stem_570": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Maximum instantaneous current = 14.6 amp, Circulating current = 12.59 amp, Power factor = 0.01 lagging",
"opt_B": "Maximum instantaneous current = 14.2 amp, ... |
"Problem Statement:\nCalculate \\DeltaE for the proposed basis of an absolutely clean source of nuclear energy (^11 _5)B + (^1 _1)H \\rightarrow (^12 _6)C \\rightarrow 3 (^4 _2)He (^11 _5)B + (^1 _1)H \\rightarrow (^12 _6)C \\rightarrow 3 (^4 _2)He Atomic masses: ^11B = 11.00931, ^4He = 4.00260, ^1H = 1.00783." | {
"stem_571": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.01 × 10^8 kcal per mole",
"opt_B": "3.02 × 10^7 kcal per mole",
"opt_C": "- 2.20 × 10^8 kcal per mole",
"opt_D": "- 3.02 × 10^8 kcal per mole",... |
"Problem Statement:\nCalculate the reduced mass of a nitrogen molecule in which both nitrogen atoms have an atomic mass of 14.00." | {
"stem_572": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.75",
"opt_B": "3.50",
"opt_C": "14.00",
"opt_D": "10.00",
"opt_E": "12.00",
"opt_F": "2.80",
"opt_G": "5.60",
"opt_H": ... |
"Problem Statement:\nThe ground level of $\\mathrm{Cl}$ is ${ }^2 \\mathrm{P}_{3 / 2}$ and a ${ }^2 \\mathrm{P}_{1 / 2}$ level lies $881 \\mathrm{~cm}^{-1}$ above it. Calculate the electronic contribution to the molar Gibbs energy of $\\mathrm{Cl}$ atoms at $500 \\mathrm{~K}$." | {
"stem_573": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-8.57 $\\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
"opt_B": "-4.12 kJ mol^{-1}",
"opt_C": "-5.27 $\\mathrm{~kJ} \\mathrm{~mol}^{-1}$",
"opt_D": "-6.42 $... |
"Problem Statement:\nA sample of blood has freezing point of - 0.560°C. What is the effective molal concentration of the solute in the serum? According to this concentration, what is the osmotic pressure in the blood serum at body temperature (37°C)?" | {
"stem_574": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.25 m, 9.2 atm",
"opt_B": "0.40 m, 8.3 atm",
"opt_C": "0.60 m, 4.9 atm",
"opt_D": "0.30 m, 7.6 atm",
"opt_E": "0.35 m, 6.9 atm",
"op... |
"Problem Statement:\nIn decimal number system what is MSD" | {
"stem_575": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "First two digits from right to left",
"opt_B": "Median of all digits",
"opt_C": "First digit from right to left",
"opt_D": "First digit from left... |
"Problem Statement:\nCalculate the standard enthalpy change, ∆H°, for the combustion of ammonia, NH_3(g), to give nitric oxide, NO(g), and water H_2O(l). The enthalpies of formation, ∆H°_f, are - 68.32 Kcal/mole for H_2O(l) , - 11.02 Kcal/mole for NH_3 (g) , and 21.57 Kcal/mole for NO(g)." | {
"stem_576": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-69.89 Kcal/mole",
"opt_B": "-199.22 Kcal/mole",
"opt_C": "-279.56 Kcal/mole",
"opt_D": "-409.92 Kcal/mole",
"opt_E": "-172.30 Kcal/mole",
... |
"Problem Statement:\nSnubber circuit is used with SCR" | {
"stem_577": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "either series or parallel.",
"opt_B": "in series.",
"opt_C": "in an alternating manner.",
"opt_D": "in series-parallel.",
"opt_E": "in anti... |
"Problem Statement:\nNatural chlorine is a mixture of isotopes. Determine its atomic weight if 75.53% of the naturally occurring element is chlorine 35, which has a mass of 34.968, and 24.47% is chlorine 37, which has a mass of 36.956." | {
"stem_578": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "36.956",
"opt_B": "35.00",
"opt_C": "34.50",
"opt_D": "34.968",
"opt_E": "37.00",
"opt_F": "30.75",
"opt_G": "35.75",
"op... |
"Problem Statement:\nWhen ammonium nitrate (NH_4NO_3) is heated, laughing gas (N_2O) and water are produced. If the laughing gas is collected at STP (Standard Temperature and Pressure) and one starts with 10 grams of NH_4NO_3, how many liters of laughing gas could be collected?" | {
"stem_579": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.2 liters",
"opt_B": "1.5 liters",
"opt_C": "4.0 liters",
"opt_D": "3.5 liters",
"opt_E": "1.8 liters",
"opt_F": "4.5 liters",
... |
"Problem Statement:\nA chemist performs a neutralization reaction. She finds that 1 g of C_6H_10C_4, an acid, requires 0.768 g of KOH for completeneutralization. Determine the number of neutralizableprotons in this molecule." | {
"stem_580": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "six",
"opt_B": "four",
"opt_C": "two",
"opt_D": "zero",
"opt_E": "one",
"opt_F": "five",
"opt_G": "nine",
"opt_H": "seven... |
"Problem Statement:\nThe promotion of an electron from the valence band into the conduction band in pure $\\mathrm{TIO}_2$ by light absorption requires a wavelength of less than $350 \\mathrm{~nm}$. Calculate the energy gap in electronvolts between the valence and conduction bands." | {
"stem_581": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.20 eV",
"opt_B": "4.66 eV",
"opt_C": "3.10 $\\mathrm{eV}$",
"opt_D": "2.76 $\\mathrm{eV}$",
"opt_E": "2.33 eV",
"opt_F": "5.00 eV",... |
"Problem Statement:\nCalculate the time needed for a water spill to evaporate into stillair at 74°F and 1 atm., with an absolute humidity of 0.0019 lb of water per lb of dry air.The water is 0.039 in. abovethe ground surface and is at a constant temperature of74°F. Evaporation occurs by the process of molecular diffusi... | {
"stem_582": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.2 hr",
"opt_B": "2.0 hr",
"opt_C": "4.0 hr",
"opt_D": "3.25 hr",
"opt_E": "1.5 hr",
"opt_F": "7.0 hr",
"opt_G": "2.63 hr",
... |
"Problem Statement:\nAt what pressure does the mean free path of argon at $20^{\\circ} \\mathrm{C}$ become comparable to the diameter of a $100 \\mathrm{~cm}^3$ vessel that contains it? Take $\\sigma=0.36 \\mathrm{~nm}^2$" | {
"stem_583": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.165 $\\mathrm{Pa}$",
"opt_B": "0.195 $\\mathrm{Pa}$",
"opt_C": "0.275 $\\mathrm{Pa}$",
"opt_D": "0.235 $\\mathrm{Pa}$",
"opt_E": "0.215 $... |
"Problem Statement:\nOne mole of ideal gas at 300 K is expanded adiabatically and reversibly from 20 to 1 atm. What is the final temperature of the gas, assuming C_V = (3/2) R per mole?" | {
"stem_584": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "135 K",
"opt_B": "150 K",
"opt_C": "75 K",
"opt_D": "110 K",
"opt_E": "180 K",
"opt_F": "90.5 K",
"opt_G": "60 K",
"opt_H... |
"Problem Statement:\nWhat volume (in liters) will a 0.17 g sample of H_2S gas occupy at 27°C and 380torr?" | {
"stem_585": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.50 liters",
"opt_B": "34.06 liter",
"opt_C": "0.005 liter",
"opt_D": "0.100 liter",
"opt_E": "0.500 liter",
"opt_F": "1.00 liter",
... |
"Problem Statement:\nAn E. coli culture will grow to a limiting concentration of about 10^9 cell per cm^3. At this concentration what percentage of the total volume of the culture medium is occupied by the cells? Assume that an E. coli cell is cylindrical and that it is 2.0\\mu long and has a 1.0\\mu diameter." | {
"stem_586": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.25%",
"opt_B": "0.57%",
"opt_C": "0.0314%",
"opt_D": ".0157%",
"opt_E": "1.57%",
"opt_F": "3.14%",
"opt_G": "25%",
"opt... |
"Problem Statement:\nA phase-shift keying system suffers from imperfect synchronization. Determine \\textphi so that the P_e(PSK) =P_e(DPSK) = 10^-5" | {
"stem_587": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "30^0",
"opt_B": "22^0",
"opt_C": "40^0",
"opt_D": "12^0",
"opt_E": "24^0",
"opt_F": "15^0",
"opt_G": "36^0",
"opt_H": "20... |
"Problem Statement:\nDetermine the mean-square quantization error during the quantization of a signal. Assume that the error (equally likely) lies in the range - S/2 to + S/2, where S is the step size." | {
"stem_588": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(S^2 / 3)",
"opt_B": "(S^2 / 12)",
"opt_C": "(S^2 / 24)",
"opt_D": "(S^2 / 8)",
"opt_E": "(S^2 / 18)",
"opt_F": "(S^2 / 10)",
"... |
"Problem Statement:\nThe positron has charge $+e$ and mass equal to the electron mass. Calculate in electronvolts the ground-state energy of positronium-an \"atom\" that consists of a positron and an electron." | {
"stem_591": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-10.0$\\mathrm{eV}$",
"opt_B": "-6.8$\\mathrm{eV}$",
"opt_C": "-5.4$\\mathrm{eV}$",
"opt_D": "-11.0 eV",
"opt_E": "-4.1 eV",
"opt_F":... |
"Problem Statement:\nFind the energy stored in the electrostatic field between two concentric conducting spheres of radii R and 2R, respectively. The charges on the two spheres are both of magnitude Q and are opposite in sign." | {
"stem_592": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "{Q^2 / (16\\pi\\epsilon_0(2R))}",
"opt_B": "{Q / (16\\pi\\epsilon_0R)}",
"opt_C": "{Q^2 / (4\\pi\\epsilon_0R)}",
"opt_D": "{Q^2 / (16\\pi\\epsilo... |
"Problem Statement:\nCalculate the average separation of the electron and the nucleus in the ground state of the hydrogen atom." | {
"stem_593": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.159 pm",
"opt_B": "79.5 pm",
"opt_C": "210 pm",
"opt_D": "132 pm",
"opt_E": "0.53 pm",
"opt_F": "53 pm",
"opt_G": "250 pm",
... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate $\\Delta S_\\text{tot}$ when two copper blocks, each of mass $10.0 \\mathrm{~kg}$, one at $100^{\\circ} \\mathrm{C}$ and the other at $0^{\\circ} \\mathrm{C}$, are placed in contact in an isolated c... | {
"stem_594": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+65.3$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_B": "+93.4$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_C": "+110.5$\\mathrm{J} \\mathrm{K}^{-1}$",
"opt_D": "... |
"Problem Statement:\nA 200-kva, [(13,200) / (2,200)]-volt, 60-cps, single-phase transformer has the following test data: Volts Amp Watts Frequency Volts Open circuit 2,200 3.1 1550 60 cps 12,800 Short circuit 210 90.9 2500 60 cps Determine the parameters of the T-equivalent circuit when referred to the low voltage wind... | {
"stem_595": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Turns ratio = 6.00, R = 2900.0 ohms, Y_oc = 1.55 × 10^-3 mho, |b_mag| = 1.400 × 10^-3 mho, |X_mag| = 710.0 ohms, r_1' + r_2 = 0.320 ohm, |X_sc| = 2.10 ohm.",
... |
"Problem Statement:\nAll the silicon and most of the oxygen in the earth's crust exists in the form of silicate minerals, such as granite. If the basic chemical unit of all silicates is the Sio_4^4- ion, which consists of an Si^4+ ion and four O^2- ions, write the electronic configurations of the Si^4+ and O^2- ions in... | {
"stem_596": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Si^4+ : 1s^22s^22p^6, O^2- : 1s^22s^22p^6",
"opt_B": "Si^4+ : 1s^22s^22p^6, O^2- : 1s^22s^22p^4",
"opt_C": "Si^4+ : 1s^22s^22p^63s^1, O^2- : 1s^22s^22p... |
"Problem Statement:\n$$\n\\beta=2 \\pi c \\tilde{\\omega}_{\\mathrm{obs}}\\left(\\frac{\\mu}{2 D}\\right)^{1 / 2}\n$$\nGiven that $\\tilde{\\omega}_{\\mathrm{obs}}=2886 \\mathrm{~cm}^{-1}$ and $D=440.2 \\mathrm{~kJ} \\cdot \\mathrm{mol}^{-1}$ for $\\mathrm{H}^{35} \\mathrm{Cl}$, calculate $\\beta$." | {
"stem_597": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.81 $10^{10} \\mathrm{~m}^{-1}$",
"opt_B": "1.95 $10^{10} \\mathrm{~m}^{-1}$",
"opt_C": "2.75 $10^{10} \\mathrm{~m}^{-1}$",
"opt_D": "3.00 $10^{... |
"Problem Statement:\nAt standard conditions, it is found that 28.0 g of carbon monoxide occupies 22.4 l. What is the density of carbon monoxide at 20°C and 600 torr?" | {
"stem_598": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.96 g/l",
"opt_B": "1.00 g/l",
"opt_C": "0.789 g/l",
"opt_D": "1.25 g/l",
"opt_E": "0.50 g/l",
"opt_F": "2.225 g/l",
"opt_G": ... |
"Problem Statement:\nThe name for CH3CHBrCHClCH2CH3 is" | {
"stem_599": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2-bromo, 3-chloropropane",
"opt_B": "2-bromo, 3-chloropentane",
"opt_C": "2,3-dibromochloropentane",
"opt_D": "trichlorodibromopentane",
"o... |
"Problem Statement:\nHydrogen gas will dissociate into atoms at a high enough temperature, i.e., H_2 = 2H. Assuming ideal gas behavior for H_2 and H, what should be the density of hydrogen at 2000°C if it is 33% dissociated into atoms? The pressure is 1 atm." | {
"stem_600": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.07 × 10^-3 gm/liter",
"opt_B": "5.07 × 10^-3 gm/liter",
"opt_C": "8.07 × 10^-3 gm/liter",
"opt_D": "12.07 × 10^-3 gm/liter",
"opt_E": "13... |
"Problem Statement:\nA 4,400-volt 60-cycle transformer has core loss of 840 watts, of which one-third is eddy-current loss. Determine the core loss when the transformer is connected (a) to a 4,600-volt 60-cycle source, (b) to a 4,400-volt 50-cycle source, and (c) to a 4,600-volt 50-cycle source." | {
"stem_601": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "900 watts, 920 watts, 990 watts",
"opt_B": "880 watts, 850 watts, 930 watts",
"opt_C": "905 watts, 875 watts, 955 watts",
"opt_D": "915 watts, 90... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the maximum non-expansion work per mole that may be obtained from a fuel cell in which the chemical reaction is the combustion of methane at $298 \\mathrm{~K}$." | {
"stem_602": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "710.80$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_B": "817.90$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "500.00 $\\mathrm{kJ} \\mathrm{mol}^{-1}$",
... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. The volume of a certain liquid varies with temperature as\n$$\nV=V^{\\prime}\\left\\{0.75+3.9 \\times 10^{-4}(T / \\mathrm{K})+1.48 \\times 10^{-6}(T / \\mathrm{K})^2\\right\\}\n$$\nw... | {
"stem_603": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$1.50 \\times 10^{-3}\\mathrm{~K}^{-1}$",
"opt_B": "$1.19 \\times 10^{-3}$$\\mathrm{~K}^{-1}$",
"opt_C": "$1.15 \\times 10^{-3}\\mathrm{~K}^{-1}$",
... |
"Problem Statement:\nElectrons in p-type material of a semi-conductor are called as" | {
"stem_604": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "majority carriers",
"opt_B": "dominant carriers",
"opt_C": "neutral carriers",
"opt_D": "non-conductive carriers",
"opt_E": "charge carrier... |
"Problem Statement:\nA steel cylinder contains liquid at a mean bulk temperature of 80°F. Steam condensing at 212°F on the outside surface is used for heating the liquid. The coefficient of heat transfer on the steam side is 1,000 Btu/hr-ft^2-°F. The liquid is agitated by the stirring action of a turbine impeller. Its ... | {
"stem_605": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.5 hr",
"opt_B": "1.92 hr",
"opt_C": "4.0 hr",
"opt_D": "1.75 hr",
"opt_E": "2.0 hr",
"opt_F": "3.0 hr",
"opt_G": "2.5 hr",
... |
"Problem Statement:\n1mole of solid copper expands isothermally from200.0atm mole of solid copper expands isothermally from atm to 1.0 atm. Calculate \\Deltas (system) for the process given that \\alpha \\equiv (1 / V)(\\partialV / \\partialT)_P = 1.66 × 10^-5 K^-1 and density, d = 8.96 × 10^3 kg m^-3" | {
"stem_606": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.14 × 10^-4 J/K",
"opt_B": "2.33 × 10^-3 J/K",
"opt_C": "5.49 × 10^-3 J/K",
"opt_D": "3.01 × 10^-3 J/K",
"opt_E": "63.546 × 10^-3 J/K",
... |
"Problem Statement:\nA liquid (\\rho = 62.4 lb/ft^3 and \\mu = 7.5 × 10^-4 lb/ft-s) flows past a flatplate with a free-stream velocity of 12 ft/s. For a point at adistance of 2 in. from the leading edge of the plate, determine: a)thelaminar boundary layer thickness. b)theshear stress. c)theshearforce per unit width of ... | {
"stem_607": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a) 0.0022 ft, b) 0.229 lb_f/ft^2, c) 0.0745 lb_f/ft",
"opt_B": "a) 0.001 ft, b) 0.230 lb_f/ft^2, c) 0.076 lb_f/ft",
"opt_C": "a) 0.002 ft, b) 0.227 lb_... |
"Problem Statement:\nThe following equation is given for 1 mole of a gas V = f (P, T)(1) Derive the ideal gas equation." | {
"stem_608": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(PV) / (RT) = 1",
"opt_B": "(V/T) = (P/R)",
"opt_C": "(VT) / (P) = R",
"opt_D": "(VP) / (T) = R",
"opt_E": "(PT) / (V) = R",
"opt_F":... |
"Problem Statement:\nCalculate themolarityof a solution containing 10.0 grams of sulfuricacid in 500 ml of solution. (MW of H_2SO_4 = 98.1.)" | {
"stem_609": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.204 M",
"opt_B": "0.102 M",
"opt_C": "0.050 M",
"opt_D": "0.408 M",
"opt_E": "0.005 M",
"opt_F": "2.04 M",
"opt_G": "98.1 M",... |
"Problem Statement:\nKMnO_4 is added to a 350 ml solution of an approximately 3% H_2O_2 solution. It is found that 3.94 cm^3 of O_2 gas is re-leased. It is collected over H_2O at a pressure (barometric) of 0.941 atm and 28°C. Assuming that the pressure due to water vapor is 0.0373 atm, what is the actual concentration ... | {
"stem_610": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.88 × 10^-3 M",
"opt_B": "1.44 × 10^-4 M",
"opt_C": "4.12 × 10^-4 M",
"opt_D": "2.88 × 10^-4 M",
"opt_E": "0.941 M",
"opt_F": "6.82 ... |
"Problem Statement:\nThe radioactive decay constant for radium is 1.36 × 10^-11. How many disintegrations per second occur in 100 g of radium?" | {
"stem_611": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.00 × 10^11 dis/sec",
"opt_B": "3.62 × 10^12 dis/sec",
"opt_C": "8.31 × 10^12 dis/sec",
"opt_D": "2.66 × 10^23 dis/sec",
"opt_E": "2.22 × ... |
"Problem Statement:\nWhat volume (in cc) is occupied by a block of woodof dimensions25.0 m × 10.0 cm × 300 mm. All edges are 90° toone another." | {
"stem_612": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.50 × 10^5 cc",
"opt_B": "75000 cc",
"opt_C": "3.75 × 10^5 cc",
"opt_D": "750 cc",
"opt_E": "3.00 × 10^5 cc",
"opt_F": "2500 cc",
... |
"Problem Statement:\nWhen using the ideal gas law, standard conditions for temperature and pressure are" | {
"stem_613": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25 °C and 1 atmosphere pressure",
"opt_B": "32 °F and 1 atmosphere pressure",
"opt_C": "0 °C and 760 torr",
"opt_D": "0 K and 0 torr",
"opt... |
"Problem Statement:\nAir is in a reservoir at 710kPaabs and 45°C. It leaves the reservoir through a converging nozzle which has an exit area of 5.1 × 10^-4 m^2. If the air enters at a pressure of 525kPa abs, determine the exit pressure, exit temperature and flowrate." | {
"stem_614": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Exit pressure: 405kPaabs, Exit temperature: 312K, Flowrate: 0.720 kg/sec",
"opt_B": "Exit pressure: 420kPaabs, Exit temperature: 295K, Flowrate: 0.800 kg/sec... |
"Problem Statement:\nCalculate the ratio of the electrical and gravitational forces between a proton and an electron." | {
"stem_615": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4 $10^{39}$",
"opt_B": "6 $10^{36}$",
"opt_C": "7 $10^{37}$",
"opt_D": "5 $10^{39}$",
"opt_E": "9 $10^{41}$",
"opt_F": "2 $10^{39}$",... |
"Problem Statement:\nWrite theorbitals, in the order of increasing energy, for hydrogen - like atoms." | {
"stem_616": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1s < 2p < 2s < 3p < 3s < 3d",
"opt_B": "2s < 2p < 1s < 3s < 3p < 3d",
"opt_C": "1s < 2s = 2p < 3s = 3p = 3d < 4s = 4p = 4d = 4f < 5s = 5p = 5d = 5f = 5... |
"Problem Statement:\nA gas at $250 \\mathrm{~K}$ and $15 \\mathrm{~atm}$ has a molar volume 12 per cent smaller than that calculated from the perfect gas law. Calculate the molar volume of the gas." | {
"stem_617": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.2$\\mathrm{dm}^3 \\mathrm{~mol}^{-1}$ ",
"opt_B": "1.35$\\mathrm{dm}^3 \\mathrm{~mol}^{-1}$",
"opt_C": "2.0$\\mathrm{dm}^3 \\mathrm{~mol}^{-1}$",
... |
"Problem Statement:\nHO - OH(g) \\rightarrow 2OH (g) ∆H°_diss= 51 Kcal/mole From this value and the following data calculate: (a) ∆H°_fof OH(g). (b) C-O bond energy; ∆H°_dissin CH_3OH(g). ∆H°_fof H_2O_2(g) = \\rule{1em}{1pt} 32.58 Kcal/mole. ∆H°_fof CH_3(g) = 34.0 Kcal/mole. ∆H°_fof CH_3OH(g) = \\rule{1em}{1pt} 47.96 K... | {
"stem_618": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.08 Kcal/mole, 80.45 Kcal/mole",
"opt_B": "7.89 Kcal/mole, 95.12 Kcal/mole",
"opt_C": "10.50 Kcal/mole, 90.00 Kcal/mole",
"opt_D": "11.25 Kcal/... |
"Problem Statement:\nA plate 1 ft. high and 2 ft. wide is welded inside a reservoir to heatthe water at 70°F. Determine the required surface temperatureof the plate, such that the heat transfer rate fromthe plate to water is 6000 Btu/hr." | {
"stem_619": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "130°F",
"opt_B": "125°F",
"opt_C": "104°F",
"opt_D": "112.7°F",
"opt_E": "120.4°F",
"opt_F": "117°F",
"opt_G": "96°F",
"o... |
"Problem Statement:\nFor an electron in a certain rectangular well with a depth of $20.0 \\mathrm{eV}$, the lowest energy level lies $3.00 \\mathrm{eV}$ above the bottom of the well. Find the width of this well. Hint: Use $\\tan \\theta=\\sin \\theta / \\cos \\theta$" | {
"stem_620": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.200 $\\mathrm{~nm}$",
"opt_B": "0.300 $\\mathrm{~nm}$",
"opt_C": "0.150 $\\mathrm{~nm}$",
"opt_D": "0.175 nm",
"opt_E": "0.100 nm",
... |
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