state unknown | questions unknown |
|---|---|
"Problem Statement:\nCalculate the endurance limit for a 1.75 in. AISI-C1030 (as rolled) steel rod for 95% reliability." | {
"stem_1659": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "24.2 × 10^3 psi",
"opt_B": "27.9 × 10^3 psi",
"opt_C": "18.5 × 10^3 psi",
"opt_D": "16.3 × 10^3 psi",
"opt_E": "22.8 × 10^3 psi",
"o... |
"Problem Statement:\nCalculate the full-load torque, in pound-feet and ounce-inches, of a 1/50-hp 1,500-rpm shaded-pole motor. A 1/20-hp 1,550-rpm shaded-pole motor has a maximum torqueof 38 oz-in. and a starting torque of 12 oz-in. What percentagesare these torques with respect to the full-load torque?" | {
"stem_1660": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.07 lb-ft, 13.4 oz-in, 118%, 37%",
"opt_B": "0.07 lb-ft, 12 oz-in, 119%, 39%",
"opt_C": "0.08 lb-ft, 14 oz-in, 115%, 35%",
"opt_D": "0.10 lb-ft... |
"Problem Statement:\nWhen ultraviolet radiation of wavelength $58.4 \\mathrm{~nm}$ from a helium lamp is directed on to a sample of krypton, electrons are ejected with a speed of $1.59 \\times 10^6 \\mathrm{~m} \\mathrm{~s}^{-1}$. Calculate the ionization energy of krypton.\n" | {
"stem_1661": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10 $\\mathrm{eV}$",
"opt_B": "20 $\\mathrm{eV}$",
"opt_C": "14 $\\mathrm{eV}$",
"opt_D": "16 $\\mathrm{eV}$",
"opt_E": "12 $\\mathrm{eV}$"... |
"Problem Statement:\nIf a binary component system containing initially 3g of component A and 7g of component B is brought to a temper-ature such that two phases are present, one with a wt % of component A = 5% and the other with wt % of component A = 50%, calculate the masses of the two phases." | {
"stem_1662": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "m_alpha = 4.444g, m_beta = 6.556g",
"opt_B": "m_alpha = 5.000g, m_beta = 5.000g",
"opt_C": "m_alpha = 6.000g, m_beta = 4.000g",
"opt_D": "m_alph... |
"Problem Statement:\nThe solid-state structures of the principal allotropes of elemental boron are made up of which of the following structural units?" | {
"stem_1663": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "B5 pentagons",
"opt_B": "B10 decagons",
"opt_C": "B4 tetrahedra",
"opt_D": "B3 triangles",
"opt_E": "B11 hendecahedra",
"opt_F": "B9... |
"Problem Statement:\nFind the Laplace transform of f(t) = sin kt, for t > 0, where k is a real constant." | {
"stem_1664": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "[k / (s^2 + k^2)]",
"opt_B": "[k / (s^2 - k^2)]",
"opt_C": "[sin(kt) / s]",
"opt_D": "[k / (s^2)]",
"opt_E": "[k / (s^3 + k^2)]",
"o... |
"Problem Statement:\nSuppose that the junction between two semiconductors can be represented by a barrier of height $2.0 \\mathrm{eV}$ and length $100 \\mathrm{pm}$. Calculate the transmission probability of an electron with energy $1.5 \\mathrm{eV}$." | {
"stem_1665": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.8",
"opt_B": "0.4",
"opt_C": "0.7",
"opt_D": "0.3",
"opt_E": "0.95",
"opt_F": "0.9",
"opt_G": "0.2",
"opt_H": "0.5",
... |
"Problem Statement:\n(i)Whatis the circular-milarea of a wire (a) 0.1 in., (b)0.2 in., (c) 0.325 in. in diameter ? (ii) The resistance of a length of copper wire is 3.60 ohms at 20°C.What is its resistance at 80°C ?" | {
"stem_1666": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(i) (a) 12,500 cir mils, (b) 50,000 cir mils, (c) 126,562 cir mils (ii) 5.60 ohms",
"opt_B": "(i) (a) 7,500 cir mils, (b) 30,000 cir mils, (c) 75,625 cir mi... |
"Problem Statement:\nHow many pounds of air (which is 23.19% O_2 and 75.46 % N_2 by weight) would be needed to burn a pound of gasoline by a reaction whereby C_8 H1 8reacts with O_2 to form CO_2 and H_2 O?" | {
"stem_1668": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "16.16 lbs",
"opt_B": "25.25 lbs",
"opt_C": "18.18 lbs",
"opt_D": "14.14 lbs",
"opt_E": "22.22 lbs",
"opt_F": "30.30 lbs",
"opt... |
"Problem Statement:\nA sleeve-coupling is used on a shaft 1(1/2) in. in diameter, delivering a torque of 500 lbs.-in. Calculate the diameter of the pin required to hold the coupling if the design stress for the pin material in shear is 15,000 psi." | {
"stem_1669": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.145 in.",
"opt_B": "0.125 in.",
"opt_C": "0.210 in.",
"opt_D": "0.155 in.",
"opt_E": "0.162 in.",
"opt_F": "0.168 in.",
"opt... |
"Problem Statement:\nAn experiment was performed to determine the moles of carbon dioxide gas formed (collected over water) when an acid reacts with limestone. To do this, a piece of dry limestone was weighed. Then carbon dioxide was collected until the limestone disappeared. The atmospheric pressure was measured at 0.... | {
"stem_1670": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Perhaps there was too much acid, which interfered with the results.",
"opt_B": "The measurement of atmospheric pressure was incorrect.",
"opt_C": "Car... |
"Problem Statement:\nThree kilograms of air are at an initial state of 100kPa, 300°K.The air is then compressedpolytropicallywith n = 2.56, to a final pressure of 500kPa. Assuming constant specificheats, calculate the change in entropy using the threeideal gas equations." | {
"stem_1671": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.50 kJ/°K",
"opt_B": "1.25 kJ/°K",
"opt_C": "2.00 kJ/°K",
"opt_D": "1.75 kJ/°K",
"opt_E": "2.25 kJ/°K",
"opt_F": "1.57 kJ/°K",
... |
"Problem Statement:\nEstimate the solubility of naphthalene in benzene at room temperature (25°C)." | {
"stem_1672": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.50 moles of naphthalene",
"opt_B": "10.28 moles of naphthalene",
"opt_C": "4.89 moles of naphthalene",
"opt_D": "11.02 moles of naphthalene",
... |
"Problem Statement:\nThe current through a resistor of 2\\Omega is given by i(t) = cos^2\\pit. Find the energy dissipated in the resistor from t_0 = 0 to t_1 = 5 sec." | {
"stem_1673": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.75 J",
"opt_B": "7.50 J",
"opt_C": "4.75 J",
"opt_D": "1.25 J",
"opt_E": "3.75 J",
"opt_F": "2.75 J",
"opt_G": "6.25 J",
... |
"Problem Statement:\nA drop of water, spherical in shape (5mm diameter) is movingin air (T_\\infty = 25°C) with a velocity of 8m/sec. Find the steady state temperature of the drop if the relative humidityis \\gamma = 50%. Assume negligible radiation and heat lossdue to evaporation is equal to the heat gained by convect... | {
"stem_1674": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.8°C",
"opt_B": "1.6°C",
"opt_C": "3.0°C",
"opt_D": "1.2°C",
"opt_E": "2.0°C",
"opt_F": "3.5°C",
"opt_G": "0.5°C",
"opt... |
"Problem Statement:\nIf the hydrolysis constant of Al^3+ is 1.4 × 10^-5, what is the concentration of H_3O^+ in 0.1 M AlCl_3?" | {
"stem_1675": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.4 × 10^-5 M",
"opt_B": "2.8 × 10^-6 M",
"opt_C": "5.6 × 10^-5 M",
"opt_D": "3.0 × 10^-4 M",
"opt_E": "7.0 × 10^-3 M",
"opt_F": "8.... |
"Problem Statement:\nA coil with five series-connected turns rotates at a speed of 1200 rpm.The flux per pole is \\textphi = 3 × 10^6maxwells; the numberof poles is p = 6. What is the averageemfinduced in thecoil ? What is the amplitude and the effective value of the emfinduced in the coil if the flux issinusoidallydis... | {
"stem_1676": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "E_av= 40 volts, E_m= 60 volts, E= 45 volts",
"opt_B": "E_av= 31 volts, E_m= 51 volts, E= 36 volts",
"opt_C": "E_av= 30 volts, E_m= 50 volts, E= 35 vol... |
"Problem Statement:\nA low loss transmission line, operating at a frequency of 400MHz, with air as dielectric media, is used for radio transmission. Assuming negligible attenuation and 50\\Omega characteristic impedance, calculate: (a) Reflection coefficient \\Gamma (b) VSWR and (c) Wavelength of the transmitted signal... | {
"stem_1677": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Reflection coefficient = 0.70 at -61.75 degrees, VSWR = 8.0, Wavelength = 0.80 meters",
"opt_B": "Reflection coefficient = 0.80 at -61.75 degrees, VSWR = 9.... |
"Problem Statement:\nA 50-hp, 500-volt shunt motor draws a line current of 4.5 amperes at no load. The shunt field resistance is 250 ohms and the armature resistance, exclusive of brushes, is 0.3 ohm. The brush drop is 2 volts. The full-load line current is 84 amperes. What is the horsepower output and efficiency ?" | {
"stem_1678": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "83.70%, 47.85 hp",
"opt_B": "86.50%, 49.00 hp",
"opt_C": "90.55%, 51.25 hp",
"opt_D": "92.10%, 52.00 hp",
"opt_E": "85.23%, 48.50 hp",
... |
"Problem Statement:\n1.19(a) The critical constants of methane are $p_{\\mathrm{c}}=45.6 \\mathrm{~atm}, V_{\\mathrm{c}}=98.7 \\mathrm{~cm}^3 \\mathrm{~mol}^{-1}$, and $T_{\\mathrm{c}}=190.6 \\mathrm{~K}$. Estimate the radius of the molecules." | {
"stem_1679": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.165 $\\mathrm{nm}$",
"opt_B": "0.150 $\\mathrm{nm}$",
"opt_C": "0.098 $\\mathrm{nm}$",
"opt_D": "0.175 $\\mathrm{nm}$",
"opt_E": "0.118$... |
"Problem Statement:\nA negative point charge of 10^-6 coulomb is situated in air at theorigin of a rectangular coordinate system. A second negativepoint charge of 10^-4 coulomb is situated on the positivex axis at a distance of 50 cm from the origin. Whatis theforce on the second charge?" | {
"stem_1680": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.6newtons",
"opt_B": "3.2 newtons",
"opt_C": "1.2 newtons",
"opt_D": "1.6newtons",
"opt_E": "2.0 newtons",
"opt_F": "4.0 newtons",
... |
"Problem Statement:\nFind the inverse Laplace transform L^-1 {1 / (s - 1)^2}, using the convolution." | {
"stem_1681": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "t^2e^t",
"opt_B": "t e^2t",
"opt_C": "e^(-t)",
"opt_D": "t^3e^t",
"opt_E": "te^t",
"opt_F": "t^2e^(-t)",
"opt_G": "e^t",
... |
"Problem Statement:\nThe discharge coefficient of a right-angled weir is to be determined over a range of values of upstream head h. To calibrate the weir, the discharge from the weir was collected in a tank and weighed over a clocked time interval. This procedure resulted in the following measurement of volume flow ra... | {
"stem_1682": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.565",
"opt_B": "0.585",
"opt_C": "0.610",
"opt_D": "0.595",
"opt_E": "0.620",
"opt_F": "0.600",
"opt_G": "0.575",
"opt... |
"Problem Statement:\nA 5-hp, 60-cycle, 115-volt; eight-pole; three-phase induction motor was tested, and the following data were obtained : No-load test: V_NL = 115; P_1 = 725; P_2 = - 425; I_NL = 10 Load test:V_L = 115; P_1 = 3,140; P_2 = 1,570; I_L = 27.3; rpm_rotor= 810 D-c stator resistance between terminals = 0.12... | {
"stem_1684": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 4.5, (b) 30 lb-ft, (c) 75, (d) 0.8",
"opt_B": "(a) 5.2, (b) 33 lb-ft, (c) 82.5, (d) 0.865",
"opt_C": "(a) 5.5, (b) 34 lb-ft, (c) 83, (d) 0.88",
... |
"Problem Statement:\nWater flows through a 1-in. diameter pipe. The kinematic viscosity of water is 0.1 × 10^-4 ft^2/s. Calculate the largest flow rate for which the flow will definitely be laminar. For a flow through a pipe (Re)_c \\approx 2100." | {
"stem_1685": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.08 × 10^-3 ft^3/s",
"opt_B": "1.18 × 10^-3 ft^3/s",
"opt_C": "1.05 × 10^-3 ft^3/s",
"opt_D": "1.38 × 10^-3 ft^3/s",
"opt_E": "1.28 × 10^... |
"Problem Statement:\nA spherical globule of glucose, 1/8 in. in dia dissolves in water flowing at 0.6 ft/sec. Given that the temperature of water as 25°C and the diffusivity of glucose in water at 25°C as 4.14 × 10^-3 cm^2/sec, calculate the mass transfer coefficient of glucose in water." | {
"stem_1686": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "25.468 ft/hr",
"opt_B": "29.954 ft/hr",
"opt_C": "28.763 ft/hr",
"opt_D": "22.567 ft/hr",
"opt_E": "55.123 ft/hr",
"opt_F": "50.342 ... |
"Problem Statement:\nA container having an area of 1 ft^2 and a volume of 5 ft^3 holds2 ft^3 of an ideal gas at a pressure of 10 atm. An externalforce is applied to keep the 1440 lb piston in positionin the container, which is open to the atmosphere of 1atm, pressure.When the external force is released the pistonrisesf... | {
"stem_1687": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "V = 28 ft/sec, Z_max = 17 ft",
"opt_B": "V = 33 ft/sec, Z_max = 21.5 ft",
"opt_C": "V = 30 ft/sec, Z_max = 20 ft",
"opt_D": "V = 35.4 ft/sec, Z_... |
"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. Take nitrogen to be a van der Waals gas with $a=1.352 \\mathrm{dm}^6 \\mathrm{~atm} \\mathrm{\\textrm {mol } ^ { - 2 }}$ and $b=0.0387 \\mathrm{dm}^3 ... | {
"stem_1688": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-2.15$\\text{kJ}$",
"opt_B": "+4.85$\\text{kJ}$",
"opt_C": "+3.60$\\text{kJ}$ ",
"opt_D": "+2.10$\\text{kJ}$",
"opt_E": "+5.30$\\text{kJ}$... |
"Problem Statement:\nAlpha particles emitted from radioactive radium has an energy of 4.8MeV(million electron volts). Calculate the de Broglie wavelength of one of these alpha particles, given the following data: (mass of alpha particle = 6.6 × 10^-24 g h = 6.6 × 10^-27 erg sec 1.0MeV= 1.6 × 10^-6 erg 1 erg = 1 g cm^2 ... | {
"stem_1689": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.6 × 10^-14 cm",
"opt_B": "6.6 × 10^-12 cm",
"opt_C": "5.0 × 10^-12 cm",
"opt_D": "2.4 × 10^-14 cm",
"opt_E": "1.3 × 10^-13 cm",
"o... |
"Problem Statement:\nA cast-iron flanged coupling is used to join two steel shafts 2(1/2) in., in diameter, delivering a maximum torque of 60 ft.-lb. The two halves of the couplings are joined together getherby 4 bolts, placed equidistant on a bolt circle of 3 in. diameter. If the design stress is 10,000 psi in shear f... | {
"stem_1690": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.1280 in.",
"opt_B": "0.1260 in.",
"opt_C": "0.1220 in.",
"opt_D": "0.1255 in.",
"opt_E": "0.1215 in.",
"opt_F": "0.1236 in.",
... |
"Problem Statement:\nA 250-kw 230-volt compound generator is delivering 800 amp at 230 volts. The shunt-field current is 12 amp. The armature resistance is 0.007 ohm, and the series-field resistance is 0.002 ohm. The stray power at this load is 5,500 watts. The generator is connected long-shunt. Determine generator eff... | {
"stem_1691": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "95.0%",
"opt_B": "91.7%",
"opt_C": "89.5%",
"opt_D": "93.5%",
"opt_E": "90.0%",
"opt_F": "87.3%",
"opt_G": "86.0%",
"opt... |
"Problem Statement:\nCompute the impact stress in a steel rod which is hit by a block weighing 45 lbs. The speed of the block is 40 in./sec. The rod is 18 in. long and has a diameter of 1(1 / 4) in." | {
"stem_1692": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8,762.3 psi",
"opt_B": "4,321.0 psi",
"opt_C": "25,678.9 psi",
"opt_D": "6.25 lbs",
"opt_E": "30,000 psi",
"opt_F": "22,628.7 psi",
... |
"Problem Statement:\nThe equilibrium constant, Kc, for the dissociation of HI into hydrogen gas and iodine vapor is 21 at a certain temperature. What will be the molar concentration of iodine vapor if 15 grams of HI gas is introduced into a 12.0-L flask and allowed to come to equilibrium?" | {
"stem_1693": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.6 × 10^-3 M",
"opt_B": "2.1 mol/L",
"opt_C": "4.58 mol/L",
"opt_D": "2.8 × 10^-3 M",
"opt_E": "0.00687 mol L-1",
"opt_F": "9.76 × ... |
"Problem Statement:\nCalculate the pH_I values of glycine, alanine, serine and threonine from their pK^1 values. The pk' values for the ionizing groups of some amino acids (25°C) pK_1' \\alpha-COOH pK_2' \\alpha-NH'_3 pK_R' R-group Glycine 2.34 9.6 Alanine 2.34 9.96 Leucine 2.36 9.60 Serine 2.21 9.15 Threonine 2.63 10.... | {
"stem_1694": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "glycine: 6.77, alanine: 6.82, serine: 6.48, threonine: 7.03",
"opt_B": "glycine: 4.97, alanine: 5.02, serine: 4.68, threonine : 5.53",
"opt_C": "glyci... |
"Problem Statement:\nThe following are physical properties of methyl alcohol, CH_3OH: freezing point - 98°C; boiling point 65°C; specific heat of liquid 0.570 cal/g - degree; heat of fusion 22.0 cal/g; and heat of vaporization 263 cal/g. Calculate the number of kilocalories required to convert one mole of methyl alcoho... | {
"stem_1695": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "15.22 Kcal",
"opt_B": "14.09 Kcal",
"opt_C": "12.09 Kcal",
"opt_D": "8.67 Kcal",
"opt_E": "11.09 Kcal",
"opt_F": "9.85 Kcal",
... |
"Problem Statement:\nCalculate the pH of a 0.10 M solution of sodium acetate, NaOAc. The equilibrium constant for the dissociation of acetic acid is 1.8 × 10^-5." | {
"stem_1696": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.9",
"opt_B": "4.8",
"opt_C": "3.9",
"opt_D": "11.2",
"opt_E": "7.5",
"opt_F": "10.1",
"opt_G": "5.3",
"opt_H": "9.3",
... |
"Problem Statement:\nUsing the definition of the unilateral Z transform, F (z) = ^\\infty\\sum_n=0 f[n] z^-n. find the z - transform of the step-sequence f[n] = u[n]." | {
"stem_1697": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "[1 / (z - 1)]",
"opt_B": "[z / (1 + z)]",
"opt_C": "[z^2 / (z - 1)]",
"opt_D": "[1 / (2 - z)]",
"opt_E": "[(z - 1) / z]",
"opt_F": "... |
"Problem Statement:\nA cylinder contains oxygen at a pressure of 10 atm and a temperature of 300°K. The volume of the cylinder is 10 liters. What is the mass of the oxygen?" | {
"stem_1698": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100 grams",
"opt_B": "120 grams",
"opt_C": "150 grams",
"opt_D": "160 grams",
"opt_E": "125 grams",
"opt_F": "140 grams",
"opt... |
"Problem Statement:\nAssuming K_W = 1.0 × 10^-14 and K_a = 4.0 × 10^-10, find the pH of a 1.0 MNaCNsolution." | {
"stem_1699": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12.30",
"opt_B": "14.00",
"opt_C": "13.50",
"opt_D": "11.00",
"opt_E": "12.00",
"opt_F": "9.00",
"opt_G": "10.70",
"opt_... |
"Problem Statement:\nHow many states belong to the carbon configurations $1 s^2 2 s^2 2 p^2$?" | {
"stem_1700": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20",
"opt_B": "8",
"opt_C": "12",
"opt_D": "15",
"opt_E": "24",
"opt_F": "22",
"opt_G": "10",
"opt_H": "14",
"opt_... |
"Problem Statement:\nThe dipole moment of HBr is 0.780 D, and its dielectric con-stant is 1.00313 at 273 K and 1 atm. Calculate the polarizability of the HBr molecule." | {
"stem_1701": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.892 × 10^-24 cm^3",
"opt_B": "5.381 × 10^-24 cm^3",
"opt_C": "1.00313 × 10^-24 cm^3",
"opt_D": "3.854 × 10^-24 cm^3",
"opt_E": "6.013 × ... |
"Problem Statement:\nUsing Vein der Waal's equation, calculate the pressure exerted by 1 mole of carbon dioxide at 0°C in a volume of (a) 1.00 liter,(b) 0.05 liter." | {
"stem_1702": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "18.79 atm, 1517 atm",
"opt_B": "23.79 atm, 2017 atm",
"opt_C": "15.79 atm, 1217 atm",
"opt_D": "20.79 atm, 1717 atm",
"opt_E": "17.79 atm,... |
"Problem Statement:\n500 g of ice at 0°C is added to 500 g of water at 64°C. When the temperature of the mixture is 0°C, what weight of ice is still present? Heat of fusion of H_2 O = 80cal/g." | {
"stem_1703": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "150 g",
"opt_B": "250 g",
"opt_C": "350 g",
"opt_D": "300 g",
"opt_E": "50 g",
"opt_F": "400 g",
"opt_G": "450 g",
"opt_... |
"Problem Statement:\nCalculate the most probable value of the chain length of normal C_20 H_42 given the C - C bond length of 0.15 nm and the bond angle of 109°28'." | {
"stem_1704": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.225 nm",
"opt_B": "0.333 nm",
"opt_C": "0.450 nm",
"opt_D": "0.500 nm",
"opt_E": "0.106 nm",
"opt_F": "0.303 nm",
"opt_G": "... |
"Problem Statement:\nA furnace operates with a gas inlet temperature of 650°C andan outlet temperature of 1,100°C. The inlet gas is composedof 10 percent CO, 20 percent CO_2 and 70 percent N_2 by volume.The combustion occurs with astoichiometric amountof air. Using the following data, determine the maximumflame tempera... | {
"stem_1705": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Maximum flame temperature is 1,750°C, Heat supplied to the furnace is 4.5 Btu/ft^3 exhaust gas",
"opt_B": "Maximum flame temperature is 1,601°C, Heat suppli... |
"Problem Statement:\nWater is moving through a heat exchanger tube with an inside diameter of D = 1.25 in. and a length of L = 9.0 ft. The water enters at 45°F, with a flow rate of 18 gal/min. The wall temperature is constant at 200°F. Determine the exit temperature of the water using analogies of Reynolds, Colburn,Pra... | {
"stem_1706": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "139.0°F, 80.0°F, 92.9°F, 86.5°F",
"opt_B": "135.0°F, 84.0°F, 89.1°F, 90.5°F",
"opt_C": "143.0°F, 76.0°F, 95.7°F, 82.5°F",
"opt_D": "138.0°F, 81.... |
"Problem Statement:\nGiven the probability distribution of the random variable X in the table below, compute E(X) andVar(X). x_i Pr(X = x_i) 0 (8/27) 1 (12/27) 2 (6/27) 3 (1/27)" | {
"stem_1707": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "E(X) = 3/2, Var(X) = 1/4",
"opt_B": "E(X) = 2, Var(X) = 1/3",
"opt_C": "E(X) = 5/3, Var(X) = 5/9",
"opt_D": "E(X) = 1, Var(X) = 2/3",
"opt... |
"Problem Statement:\nA step up chopper has input voltage 110 V and output voltage 150 V. The value of duty cycle is" | {
"stem_1708": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.90.",
"opt_B": "0.38.",
"opt_C": "0.55.",
"opt_D": "0.27.",
"opt_E": "0.75.",
"opt_F": "0.50.",
"opt_G": "0.32.",
"opt... |
"Problem Statement:\nCalculate the power delivered by a roller chain of 3/4 in. pitchused on a sprocket with 34 teeth which rotates at 500 rpm." | {
"stem_1709": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.73",
"opt_B": "2.73",
"opt_C": "10.73",
"opt_D": "5.73",
"opt_E": "6.73",
"opt_F": "7.73",
"opt_G": "9.73",
"opt_H": "... |
"Problem Statement:\nA cylindrical container 3 ft. in diameter and 5 ft. high has oil. A transformer is immersed in the oil. Determine the surface temperatureof the container if the loss of energy is 2.0 kW. Assume the bottom of the container to be insulated and that theloss is only by natural convection to the ambient... | {
"stem_1710": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "280°F",
"opt_B": "310°F",
"opt_C": "300°F",
"opt_D": "265°F",
"opt_E": "275°F",
"opt_F": "285°F",
"opt_G": "260°F",
"opt... |
"Problem Statement:\nAir at 150°F and 20 psig is flowing through a wrought iron pipe at a rate of 900 cfm. Calculate the smallest diameter of the pipe, if the maximum pressure loss in 200 ft. of the air flow is 6 psi. The relative roughness for a wrought iron pipe (\\epsilon/D) = 0.0004." | {
"stem_1711": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.30 in",
"opt_B": "4.50 in",
"opt_C": "3.86 in",
"opt_D": "4.75 in",
"opt_E": "5.00 in",
"opt_F": "3.70 in",
"opt_G": "3.95 i... |
"Problem Statement:\nThe hydrogenation of ethylene C_2H_4 + H_2 \\rightarrow C_2H_6 in the presence of mercury vapor is thought to proceed through the following steps. Hg + H_2 \\rightarrow^(k)1 Hg + 2H(1) H + C_2H_4 \\rightarrow^(k)2 C_2H_5(2) C_2H_5 + H_2 \\rightarrow^(k)3 C_2H_6 + H(3) H + H \\rightarrow^(k)4 H_2(4)... | {
"stem_1712": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "k_3 [C_2H_6] [(k_1[Hg] [H_2]) / {k_4}]^1/2",
"opt_B": "k_3 [C_2H_4] [(k_1[Hg] [H_2]) / {k_4}]^1/2",
"opt_C": "k_3 [C_2H_5] [(k_2[Hg] [H_2]) / {k_4}]^1... |
"Problem Statement:\nAssuming the ionization potential of sodium is 5.1eVand the electron affinity of chlorine is 3.6eV, calculate the amount of energy required to transfer one electron from an isolated sodium (Na) atom to an isolated chlorine (Cl) atom." | {
"stem_1713": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.3eV",
"opt_B": "2.1eV",
"opt_C": "8.7eV",
"opt_D": "3.5eV",
"opt_E": "7.2eV",
"opt_F": "1.6eV",
"opt_G": "4.7eV",
"opt... |
"Problem Statement:\nEstimate the overall heat transfer coefficient, based on the outside surface area, for hot water flowing with a velocity of 30 cm/sec through a standard 1.5 in. schedule 80 steel pipe. The temperature is 22°C. Take the thermal conductivity of steel as 60 W/m-°C." | {
"stem_1714": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.52 W/m^2-°C",
"opt_B": "6.52 W/m^2-°C",
"opt_C": "7.52 W/m^2-°C",
"opt_D": "13.52 W/m^2-°C",
"opt_E": "5.52 W/m^2-°C",
"opt_F": "1... |
"Problem Statement:\nAn adiabatic system, open to the atmosphere which has a pressureof 14.7psia, consists of 1.0lbmof ice at 32°F and 6lbmof liquid water at 80°F.Assuming a constant specific heatC_p = 1.0 Btu/lbm-°F for water, and the latent heat of - fusionfor ice to be 144 Btu/lbm, determine the final temperatureof ... | {
"stem_1715": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Final temperature: 60.5°F, Change in entropy: + 0.018 Btu/°R",
"opt_B": "Final temperature: 48.2°F, Change in entropy: + 0.030 Btu/°R",
"opt_C": "Fina... |
"Problem Statement:\nA 15 hp internal-combustion engine runs at 1400 rpm and rotates a grinding disc at 700 rpm under smooth conditions. If a triple strand no. 50 roller chain is to transmit power, calculate the number of teeth on both sprockets and the kind of lubrication needed for rust-proof operation." | {
"stem_1716": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Driving sprocket = 11 teeth, Driven sprocket = 22 teeth, Lubrication type = B",
"opt_B": "Driving sprocket = 7 teeth, Driven sprocket = 14 teeth, Lubricatio... |
"Problem Statement:\nOn a hot day, the pressure in an automobile tire increases. Assuming that the air in a tire at 59°F increases in pressure from 28.0 lbs/in^2 to 30.0 lbs/in^2, (a)what is the temperature of the air in the tire, assuming no change in volume? (b) what will the pressure be if the temperature rises to 1... | {
"stem_1717": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 110°F, (b) 34 lbs/in^2",
"opt_B": "(a) 97°F, (b) 30.5 lbs/in^2",
"opt_C": "(a) 100°F, (b) 32 lbs/in^2",
"opt_D": "(a) 90°F, (b) 28 lbs/in^2"... |
"Problem Statement:\nGiven that the surface tension of water is 72.62 (dyn / cm) at 20°C, how high should water rise in a capillary that is 1.0 mm in diameter?" | {
"stem_1718": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.88 cm",
"opt_B": "10.36 cm",
"opt_C": "4.44 cm",
"opt_D": "3.70 cm",
"opt_E": "6.22 cm",
"opt_F": "5.92 cm",
"opt_G": "2.96 ... |
"Problem Statement:\nA saturated solution of the strong electrolyte Ca(OH)_2 is prepared by adding sufficient water to 5.0 × 10^-4 mole of Ca(OH)_2 to form 100 ml of solution. What is the pH of this solution?" | {
"stem_1719": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6",
"opt_B": "11",
"opt_C": "13",
"opt_D": "12",
"opt_E": "10",
"opt_F": "14",
"opt_G": "5",
"opt_H": "9",
"opt_I"... |
"Problem Statement:\nA 10-kW 250-V self-excited generator, when delivering rated load, has an armature-circuit voltage drop that is 5% of the terminal voltage and a shunt-field current equal to 5% of rated load current. Calculate the resistance of the armature circuit and that of the field circuit." | {
"stem_1720": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Armature Circuit Resistance: 0.125 Ω, Field Circuit Resistance: 250 Ω",
"opt_B": "Armature Circuit Resistance: 1.0 Ω, Field Circuit Resistance: 500 Ω",
... |
"Problem Statement:\nThe units for the rate of a chemical reaction are" | {
"stem_1721": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "L mol-1 s-1",
"opt_B": "s-1 mol L-1",
"opt_C": "s-1 L mol-1",
"opt_D": "L2 mol-1 s-1",
"opt_E": "mol L-2 s-1",
"opt_F": "L2 mol-2 s-... |
"Problem Statement:\nWhen the field rheostat is cut out, a 230-volt shunt motor generatesa counteremfof 220 volts at no load. The resistanceof the armature is 2.3 ohms and that of the field is 115 ohms.Calculate the (a) Current through the armature when the field rheostat is cutout. (b) Current through the armature whe... | {
"stem_1722": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.35 amperes, 54.2 amperes",
"opt_B": "3.35 amperes, 53.2 amperes",
"opt_C": "4.00 amperes, 52.2 amperes",
"opt_D": "5.35 amperes, 53.2 amperes"... |
"Problem Statement:\nConsider a solid naphthalene plate suspended vertically in pure air at 1atmand is entirely free from forced convection. Determine: (a) the average coefficient of mass transfer over the first 1.5 ft down the plate (b) the average mass transfer rate over 1.5 ft from the upper edge (c) the local coeff... | {
"stem_1723": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.3 ft/hr, 0.0028 lb/hr, 4.9 ft/hr, -0.0033lb_m/ft^4, 0.113 ft, 0.091 ft/sec",
"opt_B": "6.05 ft/hr, 0.0031 lb/hr, 4.6 ft/hr, -0.0038lb_m/ft^4, 0.120 ft, 0.... |
"Problem Statement:\nThe standard E° for(1/2)F_2(g) + e^- \\rightarrow F^-(aq), which is +2.87V, applies when the flouride ion concentration is 1M . What would the corresponding E be in 1M H_3O^+ , i.e., for the electrode reaction (1/2)F_2(g) + e^- + H_3O^+ \\rightarrow HF(aq) +H_2O? (The K_diss of HF is 6.7 × 10^-4)." | {
"stem_1724": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+3.06V",
"opt_B": "+3.16V",
"opt_C": "+3.26V",
"opt_D": "+2.77V",
"opt_E": "+2.87V",
"opt_F": "+2.96V",
"opt_G": "+2.67V",
... |
"Problem Statement:\nFormation of a solution can often be visualized as a three-step process. Step 1. Solvent molecules are separated from each other to make space for the solute. Step 2. Solute molecules are separated so they fit into spaces in the solvent. Step 3. Separated solute and solvent are brought together, fi... | {
"stem_1725": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Step 1 is endothermic, steps 2 and 3 are exothermic.",
"opt_B": "All three steps are endothermic.",
"opt_C": "Steps 1 and 3 are exothermic, and step 2... |
"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. An average human produces about $10 \\mathrm{MJ}$ of heat each day through metabolic activity. Human bodies are actually open systems, and the main me... | {
"stem_1726": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.5 kg",
"opt_B": "9.3 kg",
"opt_C": "3.7$\\text{kg}$",
"opt_D": "5.6$\\text{kg}$",
"opt_E": "2.5$\\text{kg}$",
"opt_F": "7.85 kg",
... |
"Problem Statement:\nThepK_aof aspartic acid is 2.8 What is the aspartic acid concentration of a 1M aspartic acid solution maintained at pH 2.8? What is theaspartateion concentration if the pH is raised to 3.8?" | {
"stem_1727": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.9 M, 0.1 M",
"opt_B": "0.5 M, 1 M",
"opt_C": "0.6 M, 0.4 M",
"opt_D": "0.1 M, 0.9 M",
"opt_E": "1 M, 0.9 M",
"opt_F": "1 M, 0.1 M"... |
"Problem Statement:\nA voltage source \\nu(t) is connected to a capacitor C = 2f. Find the energy stored in the capacitor from t = 0 to t = 10 sec if (a) \\nu(t) = t^2 e^-(2)t(b) \\nu(t) = t sin t(c) \\nu(t) = (sin t) e^-t." | {
"stem_1728": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.5 × 10^-14 J, 35.7 J, 7.81 × 10^-10 J",
"opt_B": "3.6 × 10^-14 J, 22.1 J, 4.67 × 10^-10 J",
"opt_C": "8.6 10^-14 J, 58.9 J, 1.22 × 10^-9 J",
"... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Consider a system consisting of $2.0 \\mathrm{~mol} \\mathrm{CO}_2(\\mathrm{~g})$, initially at $25^{\\circ} \\mathrm{C}$ and $10 \\mathrm{~atm}$ and confined to a cylinder of cross-section $10.0 \\mathrm{~cm... | {
"stem_1729": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-0.645 K",
"opt_B": "-0.562$\\text{K}$",
"opt_C": "-0.410 K",
"opt_D": "-0.223$\\text{K}$",
"opt_E": "-0.500 K",
"opt_F": "-0.295 K"... |
"Problem Statement:\nCyclopropane(CH_2)_3 was burned to carbon dioxide and liquid water, as represented by the equation (CH_2)_3 + (9/2) O_2(g) = 3CO-_2(g) + 3H_2O(l) The heats of combustion of (CH_2)_3 , carbon and H_2 are, - 500.0, - 94.0 and - 68.0 kcal/mole respectively. The heat of formation of CH_3CH = CH_2 is 4.... | {
"stem_1730": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "17 kcal, -7.5 kcal",
"opt_B": "15 kcal, -10.0 kcal",
"opt_C": "20 kcal, -8.0 kcal",
"opt_D": "13 kcal, -4.0 kcal",
"opt_E": "12 kcal, -12.... |
"Problem Statement:\nFor the reaction 4C_2H_5Cl(g) + 13O_2(g) = 2 Cl_2 (g) + 8 CO_2 (g) + 10 H_2O (g) , \\DeltaH_298°K = - 1229.6 kcal . Also, the heat of combustion per mole of C_2H_6 (g) to CO_2 (g) and H_2O (g) = - 341 kcal, the heat of formation per mole of H_2O (g) = - 57.8 kcal and the heat of formation per mole ... | {
"stem_1731": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 110 kcal, - 1240.6 kcal, - 1241.4 kcal",
"opt_B": "- 107 kcal, - 1242.6 kcal, - 1243.4 kcal",
"opt_C": "- 108 kcal, - 1238.6 kcal, - 1239.4 kcal",
... |
"Problem Statement:\nFor a cell reaction of the type T + R^+2 \\leftrightarrows R + T^+2 , calculate the value that E° must have so that the equilibrium concentration of T^+2 is a thousand times the R^+2 concentration." | {
"stem_1732": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".128 volt",
"opt_B": ".088 volt",
"opt_C": ".078 volt",
"opt_D": ".108 volt",
"opt_E": ".098 volt",
"opt_F": ".118 volt",
"opt... |
"Problem Statement:\nA 420 V,50 Hz,3-phase, star-connected, 6-pole induction motor having stator and referred-rotor leakage impedances both given by (1.0 + j2.0) \\Omega/ph, drives a pure-inertia load at 960 r/min. The total inertia of the drive is J = 3.0 kg-m^2. Estimate the time to bring the drive to standstill by p... | {
"stem_1733": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.0s",
"opt_B": "7.0s",
"opt_C": "5.0s",
"opt_D": "10.0s",
"opt_E": "2.0s",
"opt_F": "4.0s",
"opt_G": "3.5s",
"opt_H": "... |
"Problem Statement:\nAn electron and a proton are placed in a 1.0 T magnetic field at 300 K. What is the ratio of the equilibrium polarizations: |pe / pH| ?" | {
"stem_1734": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1000",
"opt_B": "250",
"opt_C": "658",
"opt_D": "[|ɣe| = 1.761 x 10^11 T^-1 s^-1]",
"opt_E": "410",
"opt_F": "1024",
"opt_G": ... |
"Problem Statement:\nUse Laplace's equation in cylindrical coordinates to find the capacitanceof a coaxial cable." | {
"stem_1735": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "C = [(πL) / {ε₀ * ln(b/a)}]",
"opt_B": "C = [(πε₀L) / {ln(b-a)}]",
"opt_C": "C= [(2\\piL) / {ln(b/a)}]",
"opt_D": "C = [(2πε₀L) * (a/b)]",
... |
"Problem Statement:\nFind a cosine series which represents f(x) in 0 \\leq x \\leq \\pi if f(x) is defined as f(x) = 00 \\leq x < (\\pi / 2) f(x) = 1(\\pi / 2) < x \\leq \\pi." | {
"stem_1736": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "f(x)= (1 / 2) - (2 / \\pi) \\sum_n=0^∞ (- 1)^n [{sin(n)} / (2n + 1)]",
"opt_B": "f(x)= (1 / 2) - (2 / \\pi) \\sum_n=1^∞ (- 1)^n [{cos(2n)} / (2n + 1)]",
... |
"Problem Statement:\nTwo gases,HBrand CH_4, have molecular weights 81 and 16, respectively. TheHBreffuses through a certain small opening at the rate of 4 ml/sec. At what rate will the CH_4 effuse through the same opening?" | {
"stem_1737": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12 ml/sec",
"opt_B": "16 ml/sec",
"opt_C": "24 ml/sec",
"opt_D": "18 ml/sec",
"opt_E": "32 ml/sec",
"opt_F": "4 ml/sec",
"opt_... |
"Problem Statement:\nA certain radioactive material has a half-life of 36 minutes. Starting with 10.00 grams of this material, how many grams will be left after 2 hours?" | {
"stem_1738": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.5 × 10^-4 grams",
"opt_B": "2.50 grams",
"opt_C": "3.33 grams",
"opt_D": "4.00 grams",
"opt_E": "1.00 grams",
"opt_F": "0.5 grams"... |
"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. Concerns over the harmful effects of chlorofluorocarbons on stratospheric ozone have motivated a search for new refrigerants. One such alternative is ... | {
"stem_1739": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "26.7$\\mathrm{K} \\mathrm{MPa}^{-1}$",
"opt_B": "34.7$\\mathrm{K} \\mathrm{MPa}^{-1}$",
"opt_C": "29.9$\\mathrm{K} \\mathrm{MPa}^{-1}$",
"opt_D"... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate $\\Delta H$ 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 container. Th... | {
"stem_1740": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "770 J",
"opt_B": "-385 $\\mathrm{J}$",
"opt_C": "-770 J",
"opt_D": "-1000 J",
"opt_E": "385 $\\mathrm{J}$",
"opt_F": "-100 $\\mathrm... |
"Problem Statement:\nThe electrolysis of molten magnesium bromide is expected to produce" | {
"stem_1741": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "bromine at the cathode and oxygen at the anode",
"opt_B": "hydrogen at the cathode and oxygen at the anode",
"opt_C": "magnesium at the anode and hydr... |
"Problem Statement:\nWhat is themolalityof a solution in which 49 g of H_2SO_4, (MW 98) is dissolved in 250 grams of water?" | {
"stem_1742": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.0 moles/kg",
"opt_B": "1.5 moles/kg",
"opt_C": "2.5 moles/kg",
"opt_D": "0.8 moles/kg",
"opt_E": "1.0 moles/kg",
"opt_F": "3.0 mol... |
"Problem Statement:\nWhich of the following is expected to have the highest electronegativity?" | {
"stem_1743": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Fe",
"opt_B": "Pb",
"opt_C": "Ag",
"opt_D": "Zn",
"opt_E": "Au",
"opt_F": "Mg",
"opt_G": "Al",
"opt_H": "Cu",
"opt... |
"Problem Statement:\nThe atomic radius of hydrogen is 0.037 nm, Compare this figure with the length of the first Bohr radius. Explain any differences." | {
"stem_1744": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The atomic radius of hydrogen is five times the first Bohr radius",
"opt_B": "The atomic radius of hydrogen is four times the first Bohr radius",
"opt... |
"Problem Statement:\nHeats of reaction can be calculated from the heats of formationof the reactant and product species. Using the followingheats of formation, calculate the heat of reaction for thecombustion of methane Heats of formation(@ 291 K and 14.7psia) C + 2H_2 \\rightharpoonupCH_4(g)\\DeltaH_f= 18,240 cal/g mo... | {
"stem_1745": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "158,000 cal/g mol CH_4",
"opt_B": "110,000 cal/g mol CH_4",
"opt_C": "140,000 cal/g mol CH_4",
"opt_D": "144,580 cal/g mol CH_4",
"opt_E":... |
"Problem Statement:\nGiven that the average speed of an O_2 molecule is 1,700 km/h at 0°C, what would you expect the average speed of a CO_2 molecule to be at the same temperature?" | {
"stem_1746": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1550 km/h",
"opt_B": "1700 km/h",
"opt_C": "2000 km/h",
"opt_D": "1600 km/h",
"opt_E": "1450 km/h",
"opt_F": "2100 km/h",
"opt... |
"Problem Statement:\nSuppose an antenna has a power input of 40\\piW and an efficiencyof 98 percent. If the radiation intensity has been foundto have a maximum value of 200 W/unit solid angle, findthe directivity and gain of the antenna." | {
"stem_1748": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Directivity: 30.41 or 20.10 dB, Gain: 30 or 20.01 dB",
"opt_B": "Directivity: 12.41 or 7.10 dB, Gain: 12 or 7.01 dB",
"opt_C": "Directivity: 25.41 or ... |
"Problem Statement:\nIn over 90% of cases, the concentration of ethanol (C_2H_5OH, density = 0.80 g/ml) in blood necessary to produce intoxication is 0.0030 g/ml. A concentration of 0.0070 g/ml is fatal. What volume of 80 proof (40% ethanol by volume) Scotch whiskey must an intoxicated person consume before the concent... | {
"stem_1749": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "30 ml of 80 proof Scotch whiskey",
"opt_B": "100 ml of 80 proof Scotch whiskey",
"opt_C": "110 ml of 80 proof Scotch whiskey",
"opt_D": "120 ml ... |
"Problem Statement:\nBothHClandNaOHare strong electrolytes. What is the pH of the solution formed by adding 40 ml of 0.10 MNaOHto 10 ml of 0.45 MHCl?" | {
"stem_1750": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11",
"opt_B": "2",
"opt_C": "9",
"opt_D": "5",
"opt_E": "4",
"opt_F": "8",
"opt_G": "7",
"opt_H": "3",
"opt_I": "1... |
"Problem Statement:\nA sample of polymer contains 0.50 mole fraction with molecular weight 100,000 and 0.50 mole fraction with molecular weight 200,000. Calculate (a) the number average molecular weight, M_n and (b) the weight average molecular weight, M_w." | {
"stem_1751": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "M_n = 200,000 g/mole, M_w = 1.0 × 10^5 g/mole",
"opt_B": "M_n = 150,000 g/mole, M_w = 1.67 × 10^5 g/mole",
"opt_C": "M_n = 250,000 g/mole, M_w = 0.67 ... |
"Problem Statement:\nAir flows through a tube, and heat is transferred by means of forced convection. The tube is 1 ft. long, with an internal diameter of 2 in. The wall surface temperature is constant at 80°F, and the pressure drop over the length is 0.02 in. of water. The air flow velocity is 20 ft/sec, and the entra... | {
"stem_1754": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "260°F",
"opt_B": "280°F",
"opt_C": "295°F",
"opt_D": "265°F",
"opt_E": "270°F",
"opt_F": "290°F",
"opt_G": "285°F",
"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 standard enthalpy of formation of the metallocene bis(benzene)chromium was measured in a calorimeter. It was found for the reaction $\\mathrm{Cr}\... | {
"stem_1755": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+142.0 kJ mol^{-1}",
"opt_B": "+116.0$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "+89.0 kJ mol^{-1}",
"opt_D": "+150.0$\\mathrm{kJ} \\mathrm{mo... |
"Problem Statement:\nSulfurylchloride decomposes according to the equation, SO_2CI_2(g) \\rightleftarrows SO_2(g) + CI_2(g) . Given that at 300° K and 1atmpressure, the degree of dissociation is .121, find the equilibrium constant,K_p. What will be the degree of dissociation when pressure = 10atm?" | {
"stem_1756": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.49 × 10^-2, .0386",
"opt_B": "7.45 × 10^-3, .0542",
"opt_C": "2.98 × 10^-3, .0800",
"opt_D": "1.49 × 10^-1, .0386",
"opt_E": "1.49 × 10^... |
"Problem Statement:\nAssumingpD= - log [D_3O^+] in analogy to pH, what ispDof pure D_2O? K = 2 × 10^-15." | {
"stem_1757": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.00",
"opt_B": "8.15",
"opt_C": "8.35",
"opt_D": "6.35",
"opt_E": "7.00",
"opt_F": "6.85",
"opt_G": "7.45",
"opt_H": "7... |
"Problem Statement:\nFind the variance of the random variable, Z = X + Y if X and Y are not independent." | {
"stem_1758": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "VarZ = VarX + VarY - 2E[{X - E(X)}{Y - E(Y)}]",
"opt_B": "VarZ = |VarX - VarY|",
"opt_C": "VarZ =VarX +VarY",
"opt_D": "VarZ = VarX + VarY + Cov... |
"Problem Statement:\nSteam at 230°F in the shell side of a multi-pass regenerator is used to heat oil flowing at 550lbm/hr in 0.625 in OD steel pipes, 16-gage and 8 ft long. The oil is heated from 80 to 130°F. Assume that the thermal conductivity K and the specific heat C_P of the oil remains stable at 0.080 Btu/hr-ft-... | {
"stem_1759": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7",
"opt_B": "6",
"opt_C": "2",
"opt_D": "12",
"opt_E": "9",
"opt_F": "10",
"opt_G": "3",
"opt_H": "4",
"opt_I": "... |
"Problem Statement:\nOf what diameter must a droplet of water (20°C) be tohave thepressure within it 1.0kPagreater than that outside?" | {
"stem_1760": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.3 mm",
"opt_B": "0.15 mm",
"opt_C": "0.6 mm",
"opt_D": "0.05 mm",
"opt_E": "0.2 mm",
"opt_F": "0.25 mm",
"opt_G": "0.5 mm",
... |
"Problem Statement:\nA plate at 60°C, is cooled by forced convection from an airstream. The steady flow velocity of the air stream is observed to be 2m/sec with the temperature and pressure as 27°C and 1 atm., respectively. Find the heat transfer per unit width from the leading edge to a distance of (a) 20 cm, and (b) ... | {
"stem_1761": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "75 W, 105 W, 0.004 N",
"opt_B": "81.19 W, 114.8 W, 0.0055 N",
"opt_C": "85 W, 120 W, 0.005 N",
"opt_D": "90 W, 130 W, 0.007 N",
"opt_E": "... |
"Problem Statement:\nWhat is the molarity of ethanol in 90-proof whiskey? Density of alcohol = 0.8 g/ml." | {
"stem_1763": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9.20 M",
"opt_B": "12.10 M",
"opt_C": "5.60 M",
"opt_D": "7.83 M",
"opt_E": "2.95 M",
"opt_F": "3.25 M",
"opt_G": "6.75 M",
... |
"Problem Statement:\nGiven that ∆H°_CO2(g) = \\rule{1em}{1pt} 94.0, ∆H°_CO(g) = \\rule{1em}{1pt} 26,4, ∆H°_H2O(l) = 68.4 and ∆H°_H2O(g) = -57.8 Kcal/mole, determine the heats of reaction of (1) CO(g) + (1/2)O_2 (g) \\rightarrow CO_2 (g), (2) H_2(g) + (1/2) O_2 (g) \\rightarrow H_2O(l) and (3) H_2O(l) \\rightarrow H_2O(... | {
"stem_1764": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+10.6 Kcal/mole, -68.4 Kcal/mole, -67.6 Kcal/mole",
"opt_B": "-68.4 Kcal/mole, -67.6 Kcal/mole, +10.6 Kcal/mole",
"opt_C": "-67.6 Kcal/mole, -68.4 Kca... |
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