state unknown | questions unknown |
|---|---|
"Problem Statement:\nCalculate the change in the stored energy of a parallel plate capacitoras a result of inserting a dielectric slab." | {
"stem_205": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.30",
"opt_B": "0.92",
"opt_C": "0.99",
"opt_D": "1.05",
"opt_E": "0.65",
"opt_F": "0.82",
"opt_G": "0.47",
"opt_H": "0.... |
"Problem Statement:\nA one-fifth scale model of an airplane is tested in (a) a wind tunnel, and (b) a water tunnel. Calculate the tunnel speeds required to correspond to a full-scale speed of 100 fps at sea level. TABLE 1 Liquid Sp gr \\mu × 10^5 lb-sec/ft^2 Alcohol 0.8 2.4 Benzine 0.88 1.36 Gasoline 0.8 0.63 Glycerine... | {
"stem_206": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "600 fps, 40.2 fps",
"opt_B": "450 fps, 35.2 fps",
"opt_C": "550 fps, 38.2 fps",
"opt_D": "480 fps, 32.2 fps",
"opt_E": "400 fps, 30.2 fps",... |
"Problem Statement:\nWhat is the value of the angular-momentum quantum number $l$ for a $t$ orbital?" | {
"stem_207": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5",
"opt_B": "12",
"opt_C": "10",
"opt_D": "7",
"opt_E": "6",
"opt_F": "3",
"opt_G": "2",
"opt_H": "16",
"opt_I": "... |
"Problem Statement:\nAn approach to controlling industrial pollution is to recover waste products in usable form. In the reaction, 2H_2S + SO_2 \\rightarrow 3S + 2H_2O waste H_2S and SO_2 are recovered as elemental sulfur liquid. How much sulfur can be recovered if 650,000 kg of SO_2 are deposited into the air?" | {
"stem_209": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2,000,000 kg",
"opt_B": "650,000 kg",
"opt_C": "979,000 kg",
"opt_D": "1,300,000 kg",
"opt_E": "1,950,000 kg",
"opt_F": "1,020,000 kg... |
"Problem Statement:\nCalculate the osmotic work done by the kidneys in secreting 0.158 moles of Cl^- in a liter of urine water at 37°C when the concentration of Cl^- in plasma is 0.104 M, and in urine 0.158 M." | {
"stem_210": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "60.1 cal",
"opt_B": "35.7 cal",
"opt_C": "45.5 cal",
"opt_D": "52.6 cal",
"opt_E": "47.9 cal",
"opt_F": "38.5 cal",
"opt_G": "5... |
"Problem Statement:\nLC oscillators are used for produce a waveform with frequency ranging from" | {
"stem_211": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1 kHz to 100 kHz",
"opt_B": "500 MHz to 1 GHz",
"opt_C": "1 Hz to 1 kHz",
"opt_D": "1 KHz to 1 MHz",
"opt_E": "10 kHz to 100 MHz",
"o... |
"Problem Statement:\nThere are some 25,000ribosomesin an E. coli cell. If the structucalproteins of theseribosomeswere stretched out end to end as fully extended polypeptide chains, how many times could they encircle the E. coli cell?Assume that theribosomesare 180 \\AA in diameter, with a specific gravity of 1.0, and ... | {
"stem_212": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.10 × 10^4 times",
"opt_B": "1.26 × 10^4 times",
"opt_C": "0.80 × 10^4 times",
"opt_D": "3.50 × 10^4 times",
"opt_E": "1.76 × 10^4 times",... |
"Problem Statement:\nA lunar module usedAerozine50 as fuel and nitrogen tetroxide (N_2 O_4, molecular weight = 92.0 g/mole) as oxidizer.Aerozine50 consists of 50 % by weight of hydrazine (N_2 H_4, molecular weight = 32.0 g/mole) and 50 % by weight of unsymmetricaldimethylhydrazine ((CH_3)_2 N_2 H_2, molecular weight = ... | {
"stem_213": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.5 × 10^3 kg of water",
"opt_B": "3.0 × 10^3 kg of water",
"opt_C": "2.5 × 10^3 kg of water",
"opt_D": "4.0 × 10^3 kg of water",
"opt_E": ... |
"Problem Statement:\nFor the following second-order reversible reaction H_2 + X_2 ^(k)a\\rightleftarrows_(k)b 2HX express the thermodynamic equilibrium constant, K, in terms of k_a and k_b." | {
"stem_214": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(k_b / k_a) = K",
"opt_B": "K = k_a + k_b",
"opt_C": "K = (k_b * k_b) / k_a",
"opt_D": "(k_a / k_b) = K",
"opt_E": "K = sqrt(k_a / k_b)",
... |
"Problem Statement:\nA rigid tank contains 1lbmof air and 0.2lbmof saturated water vapor at 250°F. Determine the volume of the tank and the total pressure of the air-vapor mixture." | {
"stem_215": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "V = 3.2 ft^3, P_t = 128psia",
"opt_B": "V = 2.766 ft^3, P_t = 124.92psia",
"opt_C": "V = 2.5 ft^3, P_t = 120psia",
"opt_D": "V = 2.2 ft^3, P_t = ... |
"Problem Statement:\nThe mass density of water vapour at $327.6 \\mathrm{~atm}$ and $776.4 \\mathrm{~K}$ is $133.2 \\mathrm{~kg} \\mathrm{~m}^{-3}$. Given that for water $T_{\\mathrm{c}}=647.4 \\mathrm{~K}, p_{\\mathrm{c}}=218.3 \\mathrm{~atm}, a=5.464 \\mathrm{dm}^6 \\mathrm{~atm} \\mathrm{~mol}^{-2}$, $b=0.03049 \\ma... | {
"stem_216": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.1486$\\mathrm{dm}^3 \\mathrm{~mol}^{-1}$",
"opt_B": "0.1100 $\\mathrm{dm}^3 \\mathrm{~mol}^{-1}$",
"opt_C": "0.1257 $\\mathrm{dm}^3 \\mathrm{~mol}^{-... |
"Problem Statement:\nThe magnetic moment (μI) of an unknown nuclide is 2.884 x 10^-27 J T-1. Given the nuclear spin is known to be 1, identify the unknown nuclide." | {
"stem_217": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14N",
"opt_B": "17O",
"opt_C": "1H",
"opt_D": "13C",
"opt_E": "16O",
"opt_F": "19F",
"opt_G": "23Na",
"opt_H": "12C",
... |
"Problem Statement:\nA household cleaning solution has a hydronium ion concentration of 10^-11 M. What is the pH of the solution? Is the solution acidic or basic?" | {
"stem_218": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7, neutral",
"opt_B": "7, acidic",
"opt_C": "5, acidic",
"opt_D": "9, basic",
"opt_E": "2, acidic",
"opt_F": "3, acidic",
"opt_... |
"Problem Statement:\n1.7(a) In an attempt to determine an accurate value of the gas constant, $R$, a student heated a container of volume $20.000 \\mathrm{dm}^3$ filled with $0.25132 \\mathrm{g}$ of helium gas to $500^{\\circ} \\mathrm{C}$ and measured the pressure as $206.402 \\mathrm{cm}$ of water in a manometer at $... | {
"stem_219": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.2084$\\mathrm{JK}^{-1} \\mathrm{~mol}^{-1}$",
"opt_B": "7.9876$\\mathrm{JK}^{-1} \\mathrm{~mol}^{-1}$",
"opt_C": "8.8147$\\mathrm{JK}^{-1} \\mathrm{~... |
"Problem Statement:\nConsider a 1 in. outer diameter cylinder which is 6 ft long with an average wall temperature of 140°F. If the cylinder is used for condensing steam at 7psia, determine the unit-surfaceconductancesof the cylinder in both the horizontal and vertical positions." | {
"stem_220": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1725.4 Btu/hr-ft^2-°F and 765.7 Btu/hr-ft^2-°F",
"opt_B": "1500.0 Btu/hr-ft^2-°F and 675.0 Btu/hr-ft^2-°F",
"opt_C": "1450.5 Btu/hr-ft^2-°F and 650.5 B... |
"Problem Statement:\nUsing the Euler-Maclaurin summation formula ^\\infty \\sum_n=a f(n) = _a\\int^\\infty f(x)dx + (1/2) f(a) - (1 / 12)f'(a) + {1 / (720)} f\"'(a) + ..., evaluate the rotational partition function at high temperatures." | {
"stem_221": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "q_rot = [(\\sigma\\Theta_rot^2) / T]",
"opt_B": "q_rot = [\\Theta_rot / (T\\sigma)]",
"opt_C": "q_rot = [T * (\\sigma\\Theta_rot)]",
"opt_D": "q_... |
"Problem Statement:\nA container ship has a cross-sectional area of 3,000 m^2 at the water line when the draft is 9m. What weight of containers can be added before the normal draft of 9.2m is reached. Assume salt water of weight density 10kN/m^3." | {
"stem_222": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8000kN",
"opt_B": "7000kN",
"opt_C": "9000kN",
"opt_D": "4000kN",
"opt_E": "6000kN",
"opt_F": "11000kN",
"opt_G": "5000kN",
... |
"Problem Statement:\nFind the ∆H°, heat of reaction, for the hydrolysis of urea to CO_2 and NH_3. Although the reaction does not pro-ceed at a detectable rate in the absence of the enzyme, urease, ∆H may still be computed from the following thermodynamic data: Component ∆H°_f (Kcal/mole Urea (aq) - 76.30 CO_2 (aq) - 98... | {
"stem_223": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-2.71 Kcal/mole",
"opt_B": "7.29 Kcal/mole",
"opt_C": "5.29 Kcal/mole",
"opt_D": "11.29 Kcal/mole",
"opt_E": "10.29 Kcal/mole",
"opt_... |
"Problem Statement:\nA particle of mass $1.0 \\mathrm{~g}$ is released near the surface of the Earth, where the acceleration of free fall is $g=8.91 \\mathrm{~m} \\mathrm{~s}^{-2}$. What will be its kinetic energy after $1.0 \\mathrm{~s}$. Ignore air resistance?" | {
"stem_224": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "36 $\\mathrm{~mJ}$",
"opt_B": "30 $\\mathrm{~mJ}$",
"opt_C": "54 $\\mathrm{~mJ}$",
"opt_D": "24 $\\mathrm{~mJ}$",
"opt_E": "18 $\\mathrm{~m... |
"Problem Statement:\nHow many liters ofphosphine(PH_3) gas at STP could be made from 30 g of calcium by use of the following sequence of reactions: 3Ca + 2P\\rightarrowCa_3 P_2 Ca_3 P_2 + 6HCl\\rightarrow2PH3 + 3CaCl_2 (Molecular weights: Ca = 40, PH_3 = 34.)" | {
"stem_225": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "11.2 l",
"opt_B": "18.4 l",
"opt_C": "14.0 l",
"opt_D": "6.8 l",
"opt_E": "22.4 l",
"opt_F": "9.2 l",
"opt_G": "12.8 l",
... |
"Problem Statement:\nThe dielectric constant of gaseous SO_2 is 1.00993 at 273 K and 1.00569 at 373 K, at P = 1 atm. Calculate the dipole moment of SO_2. Assume ideal gas behavior." | {
"stem_226": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.88 D",
"opt_B": "1.63 D",
"opt_C": "1.30 D",
"opt_D": "1.45 D",
"opt_E": "0.97 D",
"opt_F": "1.75 D",
"opt_G": "1.92 D",
... |
"Problem Statement:\nChromium exists in four isotopic forms. The atomic masses and percent occurrences of these isotopes are listed in the following table: Isotopic mass (amu) Percent occurrence 50 4.31% 52 83.76% 53 9.55% 54 2.38% Calculate the average atomic mass of chromium." | {
"stem_227": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "52.50 amu",
"opt_B": "51.00 amu",
"opt_C": "55.00 amu",
"opt_D": "54.31amu",
"opt_E": "52.057amu",
"opt_F": "50.76amu",
"opt_G"... |
"Problem Statement:\nA laboratory technician has a solution of 0.1 M NaC_2H_3O_2. Find its pH and the percent hydrolysis. AssumeK_w= 1.0 × 10^-4 andK_diss= 1.8 × 10^-5." | {
"stem_228": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "pH = 10.88, % Hydrolysis = 0.75%",
"opt_B": "pH = 10.88, % Hydrolysis = 0.85%",
"opt_C": "pH = 9.88, % Hydrolysis = 1.75%",
"opt_D": "pH = 10.38,... |
"Problem Statement:\nA pioneer aeronaut is planning the design of a hot-air balloon. What volume of air at 100°C should be used if the balloon is to have a gross lifting power of 200 kg (defined as the mass of displaced air minus the mass of hot air)? The ambient temperature and pressure are 25°C and 1atm, and the aver... | {
"stem_229": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.56 × 10^6 liters",
"opt_B": "1.42 × 10^6 liters",
"opt_C": "0.71 × 10^6 liters",
"opt_D": "2.84 × 10^6 liters",
"opt_E": "0.85 × 10^6 lit... |
"Problem Statement:\nAn excellent method of making alcohols is the reaction of an aldehydeon a Grignard reagent. If you perform this reaction, you must scrupulously dry thealdehydebefore adding it to the Grignard reagent. Why?" | {
"stem_231": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The aldehyde's structure is altered by the presence of water",
"opt_B": "The aldehyde can react with other components if not dried",
"opt_C": "Water in... |
"Problem Statement:\nFind the vapor pressure of CCl_4 (carbon tetrachloride) at 38°C, if H^1 = 32,000 (J / mole) and at 23°C, the vapor pressure is .132 atm." | {
"stem_232": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".400 atm",
"opt_B": ".200 atm",
"opt_C": ".175 atm",
"opt_D": ".300 atm",
"opt_E": ".225 atm",
"opt_F": ".150 atm",
"opt_G": ".... |
"Problem Statement:\nExamining data obtained from mass spectrometry supports which of the following?" | {
"stem_233": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The smell of elements",
"opt_B": "The common oxidation states of elements",
"opt_C": "The feel of elements",
"opt_D": "The temperature at which e... |
"Problem Statement:\nUsing the data shown in the following table for sulfur trioxide, sulfur dioxide, and oxygen, develop an equation for the standard enthalpy change as a function of tempera-ture for the reaction SO_2 (g) + (1/2) O_2(g) + SO_3(g) and calculate \\DeltaH° for the reaction at 600°C. Substance (\\DeltaH°_... | {
"stem_234": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 95.20 kJ",
"opt_B": "- 21,523.4 cal",
"opt_C": "- 93.59 kJ",
"opt_D": "- 88.25 kJ",
"opt_E": "- 18,700 cal",
"opt_F": "- 22,369.4 c... |
"Problem Statement:\nAn equation of state due toDietericiis P(V -nb')exp [na' / (RTV)] =nRT(1) Evaluate the constants a' and b' in terms of the critical constants P_c,V_c, andT_cof a gas." | {
"stem_235": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a' = 2RT_cV_c, b' = (2*V_c)",
"opt_B": "a' = P_cV_c^2, b' = V_c / 3",
"opt_C": "a' = RT_c^2 / P_c, b' = V_c / P_c",
"opt_D": "a' = 2RT_cV_c, b' =... |
"Problem Statement:\nCalculate the normality of a solution 40 ml of which is required to neutralize 0.56 g of KOH." | {
"stem_236": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.5 N",
"opt_B": "0.2 N",
"opt_C": "0.75 N",
"opt_D": "0.1 N",
"opt_E": "1 N",
"opt_F": "0.25 N",
"opt_G": "0.4 N",
"opt_... |
"Problem Statement:\nA 4-pole commutator machine has 124 lap coils each having two turns. The flux per pole is 0.015 weber. Calculate: (a) The d.c. voltage appearing across quadrature brushes (b) The r.m.s. voltage with three sets of brushes per pole pair for 3-phase working and with relative field / conductor speed = ... | {
"stem_237": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a) 180 V, b) 100 V",
"opt_B": "a) 160 V, b) 90 V",
"opt_C": "a) 186 V, b) 106.5 V",
"opt_D": "a) 195 V, b) 115 V",
"opt_E": "a) 205 V, b) 1... |
"Problem Statement:\nCalculate the spring rate of the mounting springs to reduce theunbalanced force by 15% for an engine. The engine weighs950 lbs. and functions at 1300 rpm. Number of springs= 4." | {
"stem_238": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1750 lb./in.",
"opt_B": "1350 lb./in.",
"opt_C": "1600 lb./in.",
"opt_D": "1100 lb./in.",
"opt_E": "1484.4 lb./in.",
"opt_F": "1650 l... |
"Problem Statement:\nFor the following competing reactions NH_2 + N ^(k)a\\rightarrow H_2 + N_2; NH_2+N ^(k)b\\rightarrow 2NH; NH_2 + N ^(k)c\\rightarrow N_2H + H determine the products' ratio at time t by assuming that (k_a / k_b /k_c) = (.57 / .24 / .19)." | {
"stem_239": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(.19 / .57 / .24)",
"opt_B": "(.57 / .48 / .19)",
"opt_C": "(.57 / .24 / .19)",
"opt_D": "(.48 / .57 / .19)",
"opt_E": "(.19 / .24 / .57)",... |
"Problem Statement:\nFor a condensation polymerization of a hydroxyacid with a residue weight of 200, it is found that 99% of the acid groups are used up. Calculate a) the number average mo-lecular weight and b) the weight average molecular weights." | {
"stem_240": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Number-average molecular weight: 3.0 × 10^4 g/mole, Weight-average molecular weight: 4.98 × 10^4 g/mole",
"opt_B": "Number-average molecular weight: 2.2 × 10... |
"Problem Statement:\nAt 80°C an unknown solute dissolves in benzene to form a solution containing 1.25 wt.% of the solute. The vapor pressure of the solution is 752.4 mm Hg and its boiling point is 80.25°C compared to the normal boiling point of benzene which is 80.00°C. Determine a) the molecular weight of the solute ... | {
"stem_241": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Molecular weight of solute is approximately 120, heat of vaporization is 135 cal/g",
"opt_B": "Molecular weight of solite is approximately 105, heat of vapor... |
"Problem Statement:\nHow many milliliters of 0.250 M KOH does it take to neutralize completely 50.0 mL of 0.150 M H3PO4?" | {
"stem_242": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "75.0 mL",
"opt_B": "90.0 mL",
"opt_C": "60.0 mL",
"opt_D": "120 mL",
"opt_E": "30.0 mL",
"opt_F": "180 mL",
"opt_G": "270 mL",
... |
"Problem Statement:\nSolder is a lead-tin alloy. 1.00 gram of the alloy treated with warm 30 % HNO_3 gave a lead nitrate solution and some insoluble white residue. After drying, the white residue weighed 0.600 g and was found to be SnO_2. What was the percentage tin in the sample? Sn + 4HNO_3 + SnO_2 + 4N_2 + 2H_2O" | {
"stem_243": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "42.3 %",
"opt_B": "29.4 %",
"opt_C": "35.6 %",
"opt_D": "44.7 %",
"opt_E": "38.5 %",
"opt_F": "47.2 %",
"opt_G": "60.8 %",
... |
"Problem Statement:\nThe directivity of an antenna is 50 and the antenna operates ata wavelength of 4 meters. What is its maximumeffective aperture?" | {
"stem_244": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "100 meter^2",
"opt_B": "50 meter^2",
"opt_C": "12.7 meter^2",
"opt_D": "200 meter^2",
"opt_E": "25 meter^2",
"opt_F": "4 meter^2",
... |
"Problem Statement:\nUnder standard temperature and pressure conditions, compare the relative rates at which inert gases,Ar, He, and Kr diffuse through a common orifice." | {
"stem_246": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".1002 : .3002 : .4002",
"opt_B": ".3582 : .4582 : .0582",
"opt_C": ".2582 : .4998 : .3092",
"opt_D": ".1582 : .6008 : .2092",
"opt_E": ".15... |
"Problem Statement:\nThe density of concentrated sulfuric acid is 1.85 g/ml. What volume of the acid would weigh 74.0 g?" | {
"stem_247": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "45.0 ml",
"opt_B": "50.0 ml",
"opt_C": "37.0 ml",
"opt_D": "75.0 ml",
"opt_E": "20.0 ml",
"opt_F": "65.0 ml",
"opt_G": "70.0 ml... |
"Problem Statement:\nLiquid naphthalene normally freezes at 80.2°C. When 1 mole of solute is dissolved in 1000 g of naphthalene, the freezing point of the solution is 73.2°C. When 6.0 g of sulfur is dissolved in 250 g of naphthalene, the freezing point is 79.5°C. What is the molecular weight of sulfur?" | {
"stem_248": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "360 g / mole",
"opt_B": "240 g / mole",
"opt_C": "420 g / mole",
"opt_D": "150 g / mole",
"opt_E": "600 g / mole",
"opt_F": "480 g / ... |
"Problem Statement:\nLet it be required to find the square roots of A where A = 3.08 + j8.455." | {
"stem_249": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4∠35° and 4∠215°",
"opt_B": "2∠40° and 2∠220°",
"opt_C": "3.5∠45° and 3.5∠225°",
"opt_D": "2.8∠33° and 2.8∠213°",
"opt_E": "3∠45° and 3∠225... |
"Problem Statement:\nCalculate the voltage of the cell Fe; Fe^+2 \\vert\\vert H^+ ; H_2 if the iron half cell is at standard conditions but the H^+ ion concentrations is .001M." | {
"stem_250": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.50 volts",
"opt_B": "0.76 volts",
"opt_C": "1.2 volts",
"opt_D": "0.33 volts",
"opt_E": ".85 volt",
"opt_F": "0.98 volts",
"o... |
"Problem Statement:\nWhat is the pH of 0.500 M NaHSO_3? TheK_eqfor NaHSO_3 is 1.26 × 10^-2." | {
"stem_251": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.13",
"opt_B": "1.90",
"opt_C": "3.20",
"opt_D": "2.50",
"opt_E": "0.300",
"opt_F": "2.70",
"opt_G": "0.500",
"opt_H": "... |
"Problem Statement:\nA proton and a negatively charged $\\mu$ meson (called a muon) can form a short-lived species called a mesonic atom. The charge of a muon is the same as that on an electron and the mass of a muon is $207 m_{\\mathrm{e}}$. Assume that the Bohr theory can be applied to such a mesonic atom and calcula... | {
"stem_252": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.50 $10^{-28} \\mathrm{~kg}$",
"opt_B": "1.55 $10^{-28} \\mathrm{~kg}$",
"opt_C": "1.95 $10^{-28} \\mathrm{~kg}$",
"opt_D": "2.15 $10^{-28} \\ma... |
"Problem Statement:\nTwo antennas, 48 km apart, have transmitting and receiving gainsof 40dBw(i.e., with respect to 1 watt) each. For a transmitterfrequency of 4 GHz, find the required transmitter powerso that the received power is 10^-6 watts (- 60dBw)." | {
"stem_253": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.347 watts",
"opt_B": "0.547 watts",
"opt_C": "1.247 watts",
"opt_D": "0.247 watts",
"opt_E": "0.447 watts",
"opt_F": "0.647 watts",... |
"Problem Statement:\nThe barometric formula relates the pressure of a gas of molar mass $M$ at an altitude $h$ to its pressure $p_0$ at sea level. Derive this relation by showing that the change in pressure $\\mathrm{d} p$ for an infinitesimal change in altitude $\\mathrm{d} h$ where the density is $\\rho$ is $\\mathrm... | {
"stem_254": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.33",
"opt_B": "0.72",
"opt_C": "0.25",
"opt_D": "0.58",
"opt_E": "1.00",
"opt_F": "1.15",
"opt_G": "0.50",
"opt_H": "0.... |
"Problem Statement:\nIn the reaction, CaCO_3(s) \\rightarrow CaCO(s) + CO_2 (g) at 950°C and CO_2 pressure of 1 atm, the ∆H is found to be 176 kJ/mole. Assuming that the volume of the solid phase changes little by comparison with the volume of gas generated, calculate the ∆E for this reaction." | {
"stem_255": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "135 kJ",
"opt_B": "166 kJ",
"opt_C": "176 kJ",
"opt_D": "156 kJ",
"opt_E": "206 kJ",
"opt_F": "196 kJ",
"opt_G": "146 kJ",
... |
"Problem Statement:\nA liquid of specific gravity 0.9 and viscosity 20 cp flows through the annulus formed by two concentric pipes at a rate of 10 ft/sec. If the inner diameter of the larger pipe is 2 ft and the outer diameter of the smaller pipe is 1.5 ft, what is the Reynolds number corresponding to the flow?" | {
"stem_256": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "32,000",
"opt_B": "25,000",
"opt_C": "14,000",
"opt_D": "20,890",
"opt_E": "27,000",
"opt_F": "18,500",
"opt_G": "22,300",
... |
"Problem Statement:\nWhat is the pH of a solution prepared by dissolving 0.1665 mole of hypochlorous acid (HClO) in enough water to make 500 mL of solution? The Ka is 3.0 × 10^-4" | {
"stem_257": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.5",
"opt_B": "2",
"opt_C": "7.2",
"opt_D": "2.5 × 10^-3",
"opt_E": "1.2 × 10^-4",
"opt_F": "5.4 × 10^-3",
"opt_G": "3.0",
... |
"Problem Statement:\nWhich of the following substances has an asymmetrical molecular structure?" | {
"stem_258": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "CO",
"opt_B": "CO2",
"opt_C": "CH4",
"opt_D": "BF3",
"opt_E": "PCl5",
"opt_F": "SF4",
"opt_G": "SO3",
"opt_H": "CCl4"
... |
"Problem Statement:\nCalculate the maximum kinetic energy of the \\beta^- emitted in the radioactive decay of He^6." | {
"stem_259": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.51 MeV",
"opt_B": "2.01 MeV",
"opt_C": "2.51MeV",
"opt_D": "1.51 MeV",
"opt_E": "0.51 MeV",
"opt_F": "4.51MeV",
"opt_G": "3.5... |
"Problem Statement:\nA solution of sulfurous acid, H2SO3, is present in an aqueous solution. Which of the following represents the concentrations of three different ions in solution?" | {
"stem_260": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "[H2SO3] > [HSO3-] = [SO32-]",
"opt_B": "[HSO3-] > [SO32-] > [H2SO3]",
"opt_C": "[SO32-] > [H2SO3] > [HSO3-]",
"opt_D": "[HSO3-] = [SO32-] > [H2SO... |
"Problem Statement:\nConsider an air-filled rectangular waveguide whoseaandb dimensionsare 0.9 and 0.4 in., respectively. Find (a)thecutoff frequency of the dominant mode and also that ofthe next higher-order mode, and (b)theattenuation factor associated with the next higher-ordermode at a frequency midway between the ... | {
"stem_261": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5 GHz, 11 GHz, 210Np/m",
"opt_B": "7 GHz, 14 GHz, 190Np/m",
"opt_C": "7.5 GHz, 15 GHz, 195Np/m",
"opt_D": "5.75 GHz, 11.5 GHz, 220Np/m",
"o... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Note that 1 atm = 1.013 25 bar. Unless otherwise stated, thermochemical data are for 298.15 K.\nSilylene $\\left(\\mathrm{SiH}_2\\right)$ is a key intermediate in the thermal decomposition of silicon hydrides such as silane $\\left(\\mathrm{SiH}... | {
"stem_262": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "330 kJ mol^{-1}",
"opt_B": "255 kJ mol^{-1}",
"opt_C": "180$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_D": "150 kJ mol^{-1}",
"opt_E": "240$\\... |
"Problem Statement:\nA line in the Lyman series of hydrogen has a wavelength of $1.03 \\times 10^{-7} \\mathrm{~m}$. Find the original energy level of the electron." | {
"stem_263": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1",
"opt_B": "8",
"opt_C": "6",
"opt_D": "4",
"opt_E": "2",
"opt_F": "10",
"opt_G": "7",
"opt_H": "9",
"opt_I": "5"... |
"Problem Statement:\nIn an industrial process, nitrogen is heated to $500 \\mathrm{~K}$ at a constant volume of $1.000 \\mathrm{~m}^3$. The gas enters the container at $300 \\mathrm{~K}$ and $100 \\mathrm{~atm}$. The mass of the gas is $92.4 \\mathrm{~kg}$. Use the van der Waals equation to determine the approximate pr... | {
"stem_264": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "140$\\text{atm}$",
"opt_B": "130$\\text{atm}$",
"opt_C": "120$\\text{atm}$",
"opt_D": "150$\\text{atm}$",
"opt_E": "180$\\text{atm}$",
... |
"Problem Statement:\nUsing the tables of standard electrode potentials, arrange the fol-lowing substances in decreasing order of ability as reducing agents: Al, Co, Ni, Ag, H_2, Na ." | {
"stem_265": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "H_2 > Ni > Co > Al > Na > Ag",
"opt_B": "Al > Co > Ni > Ag > H_2 > Na",
"opt_C": "Ag > Na > Al > H_2 > Co > Ni",
"opt_D": "Ag > H_2 > Ni > Co > A... |
"Problem Statement:\nFerrous sulfate undergoes a thermal decomposition as follows: 2FeSO_4 (s) = Fe_2O_3 (s) + SO_2 (g) + SO_3 (g) At 929°K the total gas pressure is 0.9atmwith both solids present. (a) CalculateK_pfor this temperature. (b) Calculate the equilibrium total pressure that will be obtained if excess ferrous... | {
"stem_266": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "K_p = 0.35 atm^2, Total pressure = 1.4 atm",
"opt_B": "K_p = 0.25 atm^2, Total pressure = 1.2 atm",
"opt_C": "K_p = 0.5 atm^2, Total pressure = 1.5 atm... |
"Problem Statement:\nA helium-neon laser (used in supermarket scanners) emits light at $632.8 \\mathrm{~nm}$. Calculate the frequency of this light." | {
"stem_267": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.750$10^{14} \\mathrm{~Hz}$",
"opt_B": "4.200$10^{14} \\mathrm{~Hz}$",
"opt_C": "2.500$10^{14} \\mathrm{~Hz}$",
"opt_D": "3.300$10^{14} \\mathrm... |
"Problem Statement:\nThe concentration of hydrogen atoms in intergalactic space at a temper-ature of 7.8 × 10^50K is about 1 atom per 100 liter. Assuming the col-lision diameter of the hydrogen atom is 2.0\\AA calculate a) the mean free path of an atom in light-years. b) The approximate average time, in years, between ... | {
"stem_268": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "mean free path is 59 light-yr and time between collisions is 1.382 × 10^5 yr",
"opt_B": "mean free path is 60 light-yr and time between collisions is 1.4 × 1... |
"Problem Statement:\nA 2,500-kw 600-volt 16-pole generator has a lap-wound armature with 2,360 conductors. If the pole faces cover 65 per cent of the entire circumference, calculate the number of pole-face conductors in each pole of a compensating winding." | {
"stem_269": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20 conductors",
"opt_B": "8 conductors",
"opt_C": "3 conductors",
"opt_D": "5 conductors",
"opt_E": "9 conductors",
"opt_F": "10 cond... |
"Problem Statement:\nWhat is the standard free energy for the oxidation of glucose given by the reaction C_6H_12O_6(s) + 60_2(g) = 6CO_2(g) + 6H_2O(l)? The standard free energy of formation of C_6H_12O_6(s) = -218 kcal mole^-1, for CO_2(g), it is -94.0 kcal mole^-1 and for H_2O(l), it is -57.0 kcal mole^-1." | {
"stem_270": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-300 kcal mole^-1",
"opt_B": "-688 kcal mole^-1",
"opt_C": "-57.0 kcal mole^-1",
"opt_D": "-812 kcal mole^-1",
"opt_E": "-474 kcal mole^-1"... |
"Problem Statement:\nLet A =\\vert22\\vert,B =\\vert31\\vert. Find AB. \\vert12\\vert\\vert12\\vert \\vert42\\vert" | {
"stem_271": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "AB = |76| |75| |168|",
"opt_B": "AB = |96| |65| |158|",
"opt_C": "AB = |76| |45| |138|",
"opt_D": "AB = |96| |55| |138|",
"opt_E": "AB = |8... |
"Problem Statement:\nUsing the following ionic radii, find the fractional void volume in (a)CsCl, (b)NaCl, (c)LiCl. Assume that the ions are hard spheres in contact. Ion Radius, \\AA Li^+ 0.60 Na^+ 0.95 Cs^+ 1.69 Cl - 1.81 InCsClthe positive ions and the negative ions each comprise a simple cubic lattice. Each ion has ... | {
"stem_272": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.29 for CsCl, 0.35 for NaCl, 0.21 for LiCl",
"opt_B": "0.34 for CsCl, 0.28 for NaCl, 0.26 for LiCl",
"opt_C": "0.32 for CsCl, 0.31 for NaCl, 0.22 for ... |
"Problem Statement:\nChlorine is found in nature in two isotopic forms, one of atomiemass 35amuand one of atomic mass 37amu. The average atomic mass of chlorine is 35.453amu. What is the percent with which each of these isotopes occurs in nature?" | {
"stem_273": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The isotope of mass 35amu occurs with 80% and the isotope of mass 37amu occurs with 20%",
"opt_B": "The isotope of mass 35amu occurs with 60% and the isotope... |
"Problem Statement:\nGas a, liters^2 -atm/mole b, liters/mole A 4.0 0.027 B 12.0 0.030 C 6.0 0.032 Which gas has (a) the highest critical temperature, (b) the largest molecular volume, and (c) most ideal general behavior around STP?" | {
"stem_274": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Gas B has the highest critical temperature, Gas A has the largest molecular volume, Gas C has the most ideal general behavior around STP",
"opt_B": "Gas B ha... |
"Problem Statement:\nA journal bearing of light-dutytype,has a 3 in. diameter, 3 in. lengthand is installed in a housing with sufficient number of airpassages. The bearing shaft makes 100 rpm and exerts 1200 lbs. on the bearing.The coefficient of bearing friction is 0.025andsurrounding air temperature is 60°F. Calculat... | {
"stem_275": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "130°F and 76°F",
"opt_B": "135°F and 68°F",
"opt_C": "145°F and 80°F",
"opt_D": "147°F and 66°F",
"opt_E": "160°F and 64°F",
"opt_F":... |
"Problem Statement:\nThe dimerization of NO2(g) to N2O4(g) is an endothermic process. Which of the following will, according to Le Châtelier's principle, increase the amount of N2O4 in a reaction vessel?" | {
"stem_276": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Increasing the size of the reaction vessel",
"opt_B": "Making the reaction vessel smaller",
"opt_C": "Decreasing the temperature",
"opt_D": "Addi... |
"Problem Statement:\nDetermine the H+(aq) concentration in 1.0 M phenol, C6H5OH, solution. (The Ka for phenol is 1 × 10^-10.)" | {
"stem_277": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1 × 10^-3 M",
"opt_B": "1 × 10^-7 M",
"opt_C": "1 × 10^-4 M",
"opt_D": "1 × 10^-6 M",
"opt_E": "1 × 10^-5 M",
"opt_F": "1 × 10^-8 M",... |
"Problem Statement:\nCalculate the drag force acting on a 0.75 ft × 7 ft smooth platewhen it is pulled along its length on a still water surface ata velocity of 25 ft/s. For water \\rho = 62.4 lb/ft^3, ѵ = 1.08 × 10^-5 ft^2/s." | {
"stem_278": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.9 lb_f",
"opt_B": "14.2 lb_f",
"opt_C": "11.3 lb_f",
"opt_D": "12.4 lb_f",
"opt_E": "10.5lb_f",
"opt_F": "8.27lb_f",
"opt_G":... |
"Problem Statement:\nThe X-band (9.5 GHz) EPR spectrum of a matrix isolated Na atom reveals four hyperfine lines with resonant field positions of 3074 G, 3174 G, 3274 G and 3374 G. Calculate the g value of the atom." | {
"stem_279": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "g = 2.005",
"opt_B": "g = 1.950",
"opt_C": "g = 2.200",
"opt_D": "g = 2.250",
"opt_E": "g = 1.990",
"opt_F": "g = 2.002",
"opt_... |
"Problem Statement:\nIf the pressure and temperature at the center of the earth are 3 × 10^6 atm and 4000°C respectively, estimate the change in the Gibbs function, \\DeltaG of reaction on going from the crust to the core. Changes in volume, \\DeltaV and entropy, \\DeltaS are 1 cm^3 mol^-1 and 2.1 J K^-1 mol^-1 respect... | {
"stem_280": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.3 kJ mol^-1",
"opt_B": "15 kJ mol^-1",
"opt_C": "500 kJ mol^-1",
"opt_D": "8347.5 J mol^-1",
"opt_E": "300 kJ mol^-1",
"opt_F": "29... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. A sample consisting of $3.00 \\mathrm{~mol}$ of diatomic perfect gas molecules at $200 \\mathrm{~K}$ is compressed reversibly and adiabatically until its temperature reaches $250 \\mathrm{~K}$. Given that $C_... | {
"stem_281": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "40 J K$^{-1}$ mol$^{-1}$",
"opt_B": "15 J K$^{-1}$ mol$^{-1}$",
"opt_C": "30 J K$^{-1}$ mol$^{-1}$",
"opt_D": "20 J K$^{-1}$ mol$^{-1}$",
"... |
"Problem Statement:\nWhich of the following correctly lists the individual intermolecular attractive forces from the strongest to the weakest?" | {
"stem_282": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Dipole-dipole < induced dipole < hydrogen bond",
"opt_B": "Induced dipole < hydrogen bond < dipole-dipole",
"opt_C": "Dipole-dipole < hydrogen bond < i... |
"Problem Statement:\nWhat is the probability of throwing a \"six\" with a single die?" | {
"stem_283": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3/6",
"opt_B": "1/12",
"opt_C": "1/6",
"opt_D": "2/6",
"opt_E": "1/8",
"opt_F": "1/3",
"opt_G": "1/4",
"opt_H": "1/5",
... |
"Problem Statement:\nThe temperature of spontaneous solidification for copper is 1,120°K and the melting point is 1,356°K. Calculate the Gibbs free-energy change at the spontaneous solidification temperatureusing the following data. Data Reaction:Cu_(_1) = Cu_(s) \\DeltaH^0 = - 3,100 cal (@ 1,356°K). \\DeltaC_p= - 2.09... | {
"stem_284": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 470 cal/mole",
"opt_B": "- 500 cal/mole",
"opt_C": "- 700 cal/mole",
"opt_D": "- 440 cal/mole",
"opt_E": "- 610 cal/mole",
"opt_F":... |
"Problem Statement:\nMonatomic ions of the representative elements are often" | {
"stem_285": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "very electronegative",
"opt_B": "typically metallic",
"opt_C": "highly colored",
"opt_D": "mostly gases at room temperature",
"opt_E": "oft... |
"Problem Statement:\nA stock solution of 12.0 M sulfuric acid is made available. What is the best procedure to make up 100. mL of 4.0 M sulfuric acid using the stock solution and water prior to mixing?" | {
"stem_286": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Add 67.7 mL of 12.0 M acid to the flask, and then dilute it with 33.3 mL of water.",
"opt_B": "Add 33.3 mL of water to the flask, and then add 66.7 mL of 12.... |
"Problem Statement:\nSuppose a fluid particle moves according to the equations x = at, y =bt- ct^2, where a, b, c are constants. Find the normal and tangential accelerations." | {
"stem_287": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "a_n = [(2ca) / \\surd{a^2 + b^2}], a_t = [{2c(b - ct)} / \\surd{a^2 + b^2}]",
"opt_B": "a_n = [(2cb) / \\surd{a^2 + (b + 2ct)^2}], a_t = [{2c(a + 2ct)} / \\s... |
"Problem Statement:\nClassify the bonds in the following as ionic, ionic - covalent, covalent - ionic and covalent: I_2,LiCl,MgTe, Cl_2O, H_2S." | {
"stem_288": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "I_2 is covalent, LiCl is covalent-ionic, MgTe is ionic, Cl_2O is covalent, H_2S is ionic",
"opt_B": "I_2 is ionic, LiCl is covalent, MgTe is covalent, Cl_2O ... |
"Problem Statement:\nThe Pauli exclusion principle states that" | {
"stem_289": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "no two electrons can occupy separate orbitals",
"opt_B": "no two protons can have the same four quantum numbers",
"opt_C": "two electrons can share the... |
"Problem Statement:\nThe maximum safe concentration of fluoride ion in drinking water is 2.0ppm(parts per million). Express this concentration in milligram %." | {
"stem_290": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2 mg %",
"opt_B": "0.0020 mg %",
"opt_C": "0.002 mg %",
"opt_D": "0.02 mg %",
"opt_E": "20 mg %",
"opt_F": ".20 mg %",
"opt_G":... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. When $229 \\mathrm{~J}$ of energy is supplied as heat to $3.0 \\mathrm{~mol} \\mathrm{Ar}(\\mathrm{g})$ at constant pressure, the temperature of the sample increases by $2.55 \\mathrm... | {
"stem_291": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "30$\\mathrm{J} \\mathrm{K}^{-1} \\mathrm{~mol}^{-1}$",
"opt_B": "50$\\mathrm{J} \\mathrm{K}^{-1} \\mathrm{~mol}^{-1}$",
"opt_C": "35$\\mathrm{J} \\math... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. The fugacity coefficient of a certain gas at $200 \\mathrm{~K}$ and 50 bar is 0.72. Calculate the difference of its molar Gibbs energy from that of a perfect gas in the same state." | {
"stem_292": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-0.95$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_B": "-0.35$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "-0.55$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"o... |
"Problem Statement:\nThe barometric formula relates the pressure of a gas of molar mass $M$ at an altitude $h$ to its pressure $p_0$ at sea level. Derive this relation by showing that the change in pressure $\\mathrm{d} p$ for an infinitesimal change in altitude $\\mathrm{d} h$ where the density is $\\rho$ is $\\mathrm... | {
"stem_293": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$1.8 \\times 10^{-5}$",
"opt_B": "$1.7 \\times 10^{-5}$",
"opt_C": "$2.0 \\times 10^{-5}$",
"opt_D": "$1.0 \\times 10^{-5}$",
"opt_E": "$1.... |
"Problem Statement:\nThe compound calciumcyanamide, CaCN_2, is prepared in con-siderable amounts for use as a solid fertilizer. The solid mixed with the water in the soil slowly adds ammonia and CaCO_3 to the soil. CaCN_2 + 3H_2O CaCO_3 + 2NH3 What weight of ammonia is produced as 200 kg of CaCN2 reacts?" | {
"stem_295": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "200 kg of ammonia",
"opt_B": "85 kg of ammonia",
"opt_C": "40 kg of ammonia",
"opt_D": "150 kg of ammonia",
"opt_E": "100 kg of ammonia",
... |
"Problem Statement:\nHow much area, in square meters, will one liter of paint cover if it is brushed out to a uniform thickness of 100 microns?" | {
"stem_296": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "30 m^2",
"opt_B": "25 m^2",
"opt_C": "12 m^2",
"opt_D": "15 m^2",
"opt_E": "6 m^2",
"opt_F": "10 m^2",
"opt_G": "18 m^2",
... |
"Problem Statement:\nIf the speed of an airplane is measured by means of a stagnation tube, what correction must be applied to the constant-density indication when the plane is cruising at 300 mph?" | {
"stem_297": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 10 mph",
"opt_B": "25 mph",
"opt_C": "-30 mph",
"opt_D": "-15 mph",
"opt_E": "- 5 mph",
"opt_F": "10 mph",
"opt_G": "5 mph",
... |
"Problem Statement:\nA 20 g chunk of Dry Ice (CO_2) is placed in an \"empty\\textquotedblright 0.75 liter wine bottle and tightly corked. What would be the final pressure in the bottle after all the CO_2 has evaporated and the temperature has reached 25°C?" | {
"stem_298": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "14.81 atm",
"opt_B": "10.00 atm",
"opt_C": "17.50 atm",
"opt_D": "16.81 atm",
"opt_E": "11.81 atm",
"opt_F": "20.00 atm",
"opt_... |
"Problem Statement:\nCalculate the number of H^+ ions in the inner compartment of a single rat liver mitochondrion, assuming it is a cylinder 1.8\\mu long and 1.0\\mu in diameter at pH 6.0." | {
"stem_299": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1000 H^+ ions",
"opt_B": "900 H^+ ions",
"opt_C": "843 H^+ ions",
"opt_D": "950 H^+ ions",
"opt_E": "615 H^+ ions",
"opt_F": "760 H^+... |
"Problem Statement:\nGiven an electric field E=jAcos\\omega (t - (z/c)) Determine the time-dependent magnetic intensityHin free space." | {
"stem_300": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "H= - {jA/ c\\mu_0}sin\\omega {t - (z/c)}",
"opt_B": "H= {iA/ c\\mu_0}cos\\omega {t - (z/c)}",
"opt_C": "H= {kA/ c\\mu_0}cos\\omega {t - (z/c)}",
... |
"Problem Statement:\nA communication link between two (\\lambda/2) dipole antennas is establishedwith a free space environment. If the transmitter delivers1 (kW) of power to the transmitting antenna, how muchpower will be received by a receiver connected to the receivingdipole 500(km) from the transmitter if the freque... | {
"stem_301": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.85 × 10^-10 W",
"opt_B": "3.21 × 10^-11 W",
"opt_C": "1.53 × 10^-10 W",
"opt_D": "1.03 × 10^-10 W",
"opt_E": "5.67 × 10^-11 W",
"op... |
"Problem Statement:\nLondon dispersion forces are caused by" | {
"stem_302": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "temporary dipoles created by the position of electrons around the nuclei in a molecule",
"opt_B": "the strong nuclear forces within atomic nuclei",
"op... |
"Problem Statement:\nAt normal body temperature, 37°C (98.6°F), the ionization constant of water,K_w, is 2.42 × 10^-14 moles^2/liter^2. A physician injects a neutral saline solution into a patient. What will be the pH of this solution when it has come into thermal equilibrium with the patient's body?" | {
"stem_303": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.8",
"opt_B": "4.9",
"opt_C": "7.8",
"opt_D": "7.4",
"opt_E": "5.5",
"opt_F": "7.2",
"opt_G": "8.0",
"opt_H": "5.9",
... |
"Problem Statement:\nLet the currenti, enter the positive terminal of a circuit element across which the voltage v_1 is present, Find the power being absorbed by the element at t = 10s if i_1 = 2e-(0.1)tAand A (a) \\nu_1 = 6{(di_1) /dt}(b) \\nu_1 = (1/6)^t\\int_oi_1dt^1 + 2 V" | {
"stem_304": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-0.34 W, 3.00 W",
"opt_B": "-0.35 W, 3.05 W",
"opt_C": "-0.29 W, 3.15 W",
"opt_D": "-0.31 W, 2.98 W",
"opt_E": "-0.32 W, 3.0 W",
"opt... |
"Problem Statement:\nFind the Laplace transform of f(t) = t^n, where n is a positive integer." | {
"stem_305": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "n^n / s^n",
"opt_B": "n! / s^n+1",
"opt_C": "n! / s^n+2",
"opt_D": "(n+1)! / s^n",
"opt_E": "n! / s^n",
"opt_F": "n! / (s+1)^n",
... |
"Problem Statement:\nA chemist is given an unknown element X. He finds that the element X has an atomic weight of 210.197amuand consists of only two isotopes,^210X and ^212X. If the masses of these isotopes are, respectively, 209.64 and 211.66amu, what is the relative abun-dance of the two isotopes?" | {
"stem_306": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "70%, 30%",
"opt_B": "75%, 25%",
"opt_C": "72.42%, 27.587%",
"opt_D": "50%, 50%",
"opt_E": "67.89%, 32.11%",
"opt_F": "85%, 15%",
... |
"Problem Statement:\nA key is used to fasten a pulley having a 3(1/2) in. long hub, delivering a torque of 1250 lbs.-ft. to a shaft 2(1/2) in., in diameter. If the pulley is made of ASTM 25 gray cast-iron, the shaft and key of cold drawn AISI 1020 and hot rolled 1010 steel respectively, determine the following under co... | {
"stem_307": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Minimum length of the key is 2.0 in and length of the key when both key and shaft are of the same material is 3.5 in.",
"opt_B": "Minimum length of the key i... |
"Problem Statement:\nA coin is tossed 3 times. Find the probability that all 3 are heads, (a) if it is known that the first is heads, (b) if it is known that the first 2 are heads, (c) if it is known that 2 of them are heads." | {
"stem_308": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 1/8, (b) 1, (c) 1/4",
"opt_B": "(a) 1/8, (b) 1/2, (c) 3/8",
"opt_C": "(a) 1/6, (b) 1/3, (c) 1/6",
"opt_D": "(a) 1/4, (b) 1/2, (c) 1/4",
... |
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