state unknown | questions unknown |
|---|---|
"Problem Statement:\nA model of a proposed low-speed crop-dusting plane is to be tested in a wind tunnel capable of maintaining velocities of 264 ft/s, using atmospheric air. The prototype plane has a design wing span of 27 ft and a proposed speed of 88 ft/s. In order to preserve dynamic similarity, what should be the ... | {
"stem_827": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "9 ft",
"opt_B": "30 ft",
"opt_C": "3 ft",
"opt_D": "6 ft",
"opt_E": "15 ft",
"opt_F": "21 ft",
"opt_G": "12 ft",
"opt_H":... |
"Problem Statement:\nA sample of oxygen gas at 50 °C is heated, reaching a final temperature of 100 °C. Which statement best describes the behavior of the gas molecules?" | {
"stem_828": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The number of molecules decreases by half.",
"opt_B": "Their velocity remains the same.",
"opt_C": "Their velocity decreases by a factor of two.",
... |
"Problem Statement:\nWhen an electron in a certain excited energy level in a one-dimensional box of length $2.00 Å$ makes a transition to the ground state, a photon of wavelength $8.79 \\mathrm{~nm}$ is emitted. Find the quantum number of the initial state." | {
"stem_829": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10",
"opt_B": "2",
"opt_C": "3",
"opt_D": "4",
"opt_E": "6",
"opt_F": "5",
"opt_G": "8",
"opt_H": "7",
"opt_I": "9"... |
"Problem Statement:\nA snowball at - 15°C is thrown at a large tree trunk. If we disregard all frictional heat loss, at what speed must the snowball travel so as to melt on impact? The specific heat of fusion of ice is 79.7 cal/gm." | {
"stem_830": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "925 m/s",
"opt_B": "1100 m/s",
"opt_C": "720 m/s",
"opt_D": "950 m/s",
"opt_E": "892 m/s",
"opt_F": "853 m/s",
"opt_G": "1002 m... |
"Problem Statement:\nA very crude model of the buckminsterfullerene molecule $\\left(\\mathrm{C}_{60}\\right)$ is to treat it as a collection of electrons in a cube with sides of length equal to the mean diameter of the molecule $(0.7 \\mathrm{~nm})$. Suppose that only the $\\pi$ electrons of the carbon atoms contribut... | {
"stem_831": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.1 $\\mu \\mathrm{m}$",
"opt_B": "1.0 $\\mu \\mathrm{m}$",
"opt_C": "0.4 $\\mu \\mathrm{m}$",
"opt_D": "0.9 $\\mu \\mathrm{m}$",
"opt_E": ... |
"Problem Statement:\nFind thehydroniumion concentration of .1M HOAC (acetic acid) solution. Assume k_a = 1.75 x 10^-5 for acetic acid." | {
"stem_832": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.00013M",
"opt_B": "0.001M",
"opt_C": "0.0013M",
"opt_D": "0.004M",
"opt_E": "0.003M",
"opt_F": "0.0025M",
"opt_G": "0.0005M",... |
"Problem Statement:\nThe cost of making the correct decisions for the given binary channel is zero, i.e., c(d_1/x_1) = c(d_2/x_2) = 0. The cost of making the incorrect decision d_1 is twice as much as that of making the incorrect decision d_2. That is to say, c(d_1/x_2) = 2c(d_2/x_1) which decision should be made, firs... | {
"stem_833": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) Decision made is d_1, (b) Decision d_1",
"opt_B": "(a) Decision made is d_2, (b) Decision d_2",
"opt_C": "(a) Decision made is random, (b) No decis... |
"Problem Statement:\nFor the reaction C(s) + 2 H_2O(g) = CO_2(g) + 2H_2(g) calculate \\DeltaH and \\DeltaE at 25°C,given the following data: heat of formation at 25°C: H_2O(g) = - 57.8 kcal, CH_4(g) = - 17.9 kcal. Also, the heat of combustion of CH_4 at 25°C to CO_2 and H_2O(g) is - 192.2 kcal." | {
"stem_835": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\DeltaH = 24.2 kcal, \\DeltaE = 23.7 kcal",
"opt_B": "\\DeltaH = 18.5 kcal, \\DeltaE = 19.0 kcal",
"opt_C": "\\DeltaH = 22.5 kcal, \\DeltaE = 21.8 kca... |
"Problem Statement:\nCalculate the energy needed to compress three carbon-carbon single bonds and stretch three carbon-carbon double bonds to the benzene bond length $1.397 Å$. Assume a harmonicoscillator potential-energy function for bond stretching and compression. Typical carboncarbon single- and double-bond lengths... | {
"stem_836": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "42 $\\mathrm{kcal} / \\mathrm{mol}$",
"opt_B": "15 $\\mathrm{kcal} / \\mathrm{mol}$",
"opt_C": "36 kcal/mol",
"opt_D": "9 kcal/mol",
"opt_E... |
"Problem Statement:\nDetermine the approximate energy-loss rate of 3Mevalpha particles in air, given that the mean energy-loss rate of 3 Mevprotons in air is 12.5 × 10^-2Mev/cm ." | {
"stem_837": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2Mev/cm",
"opt_B": "1Mev/cm",
"opt_C": "0.5 Mev/cm",
"opt_D": "5 × 10^-2 Mev/cm",
"opt_E": "3Mev/cm",
"opt_F": "7.5 × 10^-2 Mev/cm",
... |
"Problem Statement:\nObtain the partial-fraction expansion of F(s) = [(s^2 + 3s + 1) / {(s + 1)^3 (s + 2)^2}]" | {
"stem_838": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "F(s) = [(- 1) / (s + 1)^3] + [3 / (s + 1)^2] - [4 / (s + 1)] - [1 / (s + 2)^2] + [4 / (s + 2)]",
"opt_B": "F(s) = [1 / (s + 1)^3] - [2 / (s + 1)^2] + [3 / (s... |
"Problem Statement:\nInfrared (IR) spectroscopy is useful for determining certain aspects of the structure of organic molecules because" | {
"stem_840": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "IR radiation can ionize organic molecules, providing structural information",
"opt_B": "absorption of IR radiation increases with molecular complexity",
... |
"Problem Statement:\nA steel shaft transfers 50 hp to another parallel shaft through gears. The gear equally spaced from the shaft bearings, is 5 in. of diameter and revolves at 1000 rpm. The pressure angle is 25°. Evaluate the force exerted on each bearing." | {
"stem_841": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "695 lbs",
"opt_B": "650 lbs",
"opt_C": "620 lbs",
"opt_D": "710 lbs",
"opt_E": "675 lbs",
"opt_F": "760 lbs",
"opt_G": "580 lbs... |
"Problem Statement:\nA 2,000-kva 2,300-volt three-phase alternator operates at ratedkilovolt-amperes at a power factor of 0.85. The d-c armature-windingresistance at 75°C between terminals is 0.08 ohm.The field takes 72ampat 125 volts from exciter equipment. Friction andwindageloss is 18.8kw, iron losses are37.6kw, and... | {
"stem_842": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "98.3",
"opt_B": "90.5",
"opt_C": "92.7",
"opt_D": "88.5",
"opt_E": "94.1",
"opt_F": "85.2",
"opt_G": "93.6",
"opt_H": "91... |
"Problem Statement:\nA chemist wants to produce chlorine from molten NaCl. How many grams could be produced if he uses a current of one amp for 5.00 minutes?" | {
"stem_843": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.031g",
"opt_B": "5.55g",
"opt_C": "0.021g",
"opt_D": "0.511g",
"opt_E": "0.111g",
"opt_F": "1.11mg (milligrams)",
"opt_G": "0... |
"Problem Statement:\nA swimmer enters a gloomier world (in one sense) on diving to greater depths. Given that the mean molar absorption coefficient of seawater in the visible region is $6.2 \\times 10^{-3} \\mathrm{dm}^3 \\mathrm{~mol}^{-1} \\mathrm{~cm}^{-1}$, calculate the depth at which a diver will experience half ... | {
"stem_844": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.8 $\\mathrm{~m}$",
"opt_B": "1.5 $\\mathrm{~m}$",
"opt_C": "2.0 $\\mathrm{~m}$",
"opt_D": "1.2 $\\mathrm{~m}$",
"opt_E": "0.77 $\\mathrm{... |
"Problem Statement:\nThere exists a carbohydrate that is slightly soluble in water, does not have a sweet taste, but does dissolve slowly when heated with diluteHCl. To what class of carbohydrates does it probably belong?" | {
"stem_845": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Pentoses",
"opt_B": "Disaccharides",
"opt_C": "Polysaccharides",
"opt_D": "Lipids",
"opt_E": "Oligosaccharides",
"opt_F": "Amino acid... |
"Problem Statement:\nCalculate the voltage (E) of a cell with E° = 1.1 volts, If the copper half-cell is at standard conditions but the zinc ion concentra-tion is only .001 molar. Temperature is 25°c . The overall reaction is Zn + Cu^+2 \\rightarrow Cu + Zn^+2." | {
"stem_846": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.35 volts",
"opt_B": "1.23 volts",
"opt_C": "1.19 volts",
"opt_D": "1.1 volts",
"opt_E": "1.15 volts",
"opt_F": "1.29 volts",
... |
"Problem Statement:\nLess than 1/1000 of the mass of any atom is contributed by" | {
"stem_847": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "the protons, electrons and neutrons",
"opt_B": "the electrons and protons",
"opt_C": "the nucleus",
"opt_D": "the protons",
"opt_E": "the n... |
"Problem Statement:\nA pressure vessel contains an inert gas at a temperature of 140°F and a pressure of 10 atm. The vessel is then heated until the pressure becomes 20 atm. For one pound mole of the inert gas, calculate a) q, the heat transfer per unit mass, b) \\DeltaE, the change in total energy, c) \\DeltaH, the ch... | {
"stem_848": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "q = 4610 Btu, \\DeltaE = 3540 Btu, \\DeltaH_v = 3540 Btu",
"opt_B": "q = 3800 Btu, ΔE = 4200 Btu, ΔH_v = 3800 Btu",
"opt_C": "q = 5000 Btu, ΔE = 4000 B... |
"Problem Statement:\nCalculate the heat of combustion of hydrogen gas at 1500°K, given that \\DeltaH° for the reaction 2H_2(g) + O_2 (g) = 2H_2O(g) is - 115,595.8 cal at 25°C = 298°K." | {
"stem_849": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 119,767 cal",
"opt_B": "- 117,250 cal",
"opt_C": "- 118,000 cal",
"opt_D": "- 122,000 cal",
"opt_E": "- 120,000 cal",
"opt_F": "- 1... |
"Problem Statement:\nCarbon dioxide is reduced by hydrogen according to the equation CO_2(g) + H_2(g) \\rightleftarrows CO(g) + H_2O(g) . One mole of CO_2 is reacted with one mole of H_2 at 825K and it is found that, at equilibrium, 0.27atmof CO is present. Determine the equilibrium constant, K, at 825K ." | {
"stem_850": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.37",
"opt_B": "0.137",
"opt_C": "0.73",
"opt_D": "2.74",
"opt_E": "5.5",
"opt_F": "0.27",
"opt_G": "1.00",
"opt_H": "0.... |
"Problem Statement:\nEven though 1, 3, 5-trinitrobenzene (TNB) has more shattering power (more brisance) and is no more dangerous to handle, 2, 4, 6-trinitrotoluene (TNT) has always been the high ex-plosive in more general use. Can you suggest a reason (connected with manufacture) for the popularity of TNT? (Benzene an... | {
"stem_851": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Toluene is more easily nitrated, and therefore more easily polynitrated than benzene.",
"opt_B": "The nitrating agents required for TNB are less readily avai... |
"Problem Statement:\nA solution contains 1 mg per ml of myosin and 10^14 latex particles per ml. When a given volume of this solution is dried on a grid and viewed under the electron microscope, a typical field contains 122 protein molecules and 10 latex particles. Calculate the molecular weight of myosin." | {
"stem_852": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.93 × 10^6 g / mole",
"opt_B": "7.93 × 10^5 g / mole",
"opt_C": "4.93 × 10^6 g / mole",
"opt_D": "2.93 × 10^5 g / mole",
"opt_E": "4.93 × ... |
"Problem Statement:\nCopper has a conductivity \\sigma = 5.8 × 10^7 mhos/meter, and \\mu = 1.26 × 10^-6 Henry/meter. If a plane wave at a frequency of 200 Hz is normally incident on copper find the depth of penetration of this wave." | {
"stem_853": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5.77 × 10^-3 meter",
"opt_B": "6.22 × 10^-3 meter",
"opt_C": "3.50 × 10^-3 meter",
"opt_D": "2.80 × 10^-3 meter",
"opt_E": "5.00 × 10^-3 me... |
"Problem Statement:\nA ground-state hydrogen atom absorbs a photon of light that has a wavelength of $97.2 \\mathrm{~nm}$. It then gives off a photon that has a wavelength of $486 \\mathrm{~nm}$. What is the final state of the hydrogen atom?" | {
"stem_854": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0",
"opt_B": "6",
"opt_C": "5",
"opt_D": "7",
"opt_E": "2",
"opt_F": "1",
"opt_G": "9",
"opt_H": "3",
"opt_I": "8",... |
"Problem Statement:\n4 liters of octane gasoline weigh 3.19 kg. Calculate what volume of air is required for its complete combustion at S.T.P." | {
"stem_855": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "22,102.28 liters air",
"opt_B": "58,650.00 liters air",
"opt_C": "49,350.25 liters air",
"opt_D": "65,292.15 liters air",
"opt_E": "39,175.... |
"Problem Statement:\n(a) If a rocket were fueled withkerosineand liquid oxygen, what weight of oxygen would be required for every liter of kerosine ? (Assumekerosineto have the average composition of n-C_14H_30 and a density of 0.764 g/ml). (b) How much energy would be required to fragment the molecules in one liter of... | {
"stem_856": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2,660 g, 8,710 kcal",
"opt_B": "2,500 g, 8,500 kcal",
"opt_C": "2,550 g, 9,100 kcal",
"opt_D": "2,400 g, 8,200 kcal",
"opt_E": "2,800 g, 8,... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. Given the reactions (1) and (2) below, determine $\\Delta_{\\mathrm{r}} U^{\\ominus}$ for reaction (3).\n\n(1) $\\mathrm{H}_2(\\mathrm{g})+\\mathrm{Cl}_2(\\mathrm{g}) \\rightarrow 2 ... | {
"stem_857": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-150.72$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_B": "-200.36$\\mathrm{kJ} \\mathrm{mol}^{-1}$",
"opt_C": "-135.50 kJ mol^{-1}",
"opt_D": "-220.14... |
"Problem Statement:\nA recipe for artificial sea water is NaCl, 26.518 g/kg; MgCl_2, 2.447 g/kg; MgSO_4, 3.305 g/kg; CaCl_2, 1.141 g/kg; KCl, .725 g/kg; NaHCO_3, .202 g/kg; NaBr, .083 g/kg. All of these salts are dissolved in water to make a total weight of 1000 g. What are the chlorinity and salinity of the solution?" | {
"stem_858": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.7% chlorinity, 3.2% salinity",
"opt_B": "2.1% chlorinity, 3.5% salinity",
"opt_C": "1.7% chlorinity, 3.8% salinity",
"opt_D": "2.0% chlorinity,... |
"Problem Statement:\nGiven x = [(3x_0y_0t^2) / z_0], y = [(5x_0z_0t) / y_0], z = [(2y_0z_0t^3) / x_0] findthe velocity of the fluid particle and acceleration at x_0= 1 cm, y_0 = 2 cm, z_0 = 3 cm at t = 2." | {
"stem_859": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "V^\\ding{217}(1, 2, 3, 2) = 7i^\\ding{217} + 8.5 j^\\ding{217} + 144 k^\\ding{217}, a^\\ding{217}(1, 2, 3, 2) = 5i^\\ding{217} + 142 k^\\ding{217}",
"opt_B":... |
"Problem Statement:\nCalculate the number of coils of a helical spring so that the deflection of the spring may not exceed 1.5 in. under a certain load. The mean diameter of the spring is 2.25 in. and the wire diameter is 0.15 in., with the material having an allowable shear stress of 50,000 psi and shear modulus of el... | {
"stem_860": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "10",
"opt_B": "13",
"opt_C": "14",
"opt_D": "15",
"opt_E": "12",
"opt_F": "7.5",
"opt_G": "8",
"opt_H": "10.5",
"op... |
"Problem Statement:\nExpress [(6,400,000 ) / (400)] in scientific notation" | {
"stem_861": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "6.4 × 10^4",
"opt_B": "4 × 10^4",
"opt_C": "6.4 × 10^3",
"opt_D": "4 × 10^6",
"opt_E": "1.6 × 10^5",
"opt_F": "1.6 × 10^6",
"op... |
"Problem Statement:\nCalculate the heat absorbed, \\DeltaH, at constant pressure when one mole of N_2(g) is heated from 25°C or 298°K to 150°C or 423°K. The heat capacity at constant pressure is C_P = 6.76 + .606 × 10^-3T + 1.3 × 10^-7T^2 cal K^-1mol^-1" | {
"stem_862": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "874.44J mol^-1",
"opt_B": "500J mol^-1",
"opt_C": "3658.6J mol^-1",
"opt_D": "4100J mol^-1",
"opt_E": "2500J mol^-1",
"opt_F": "725.5... |
"Problem Statement:\nA slow neutron flux of 10^12 neutrons per cm^2 bombards a sample of cobalt for a period of six months. Given that the cross section of^59Co is 21.7 barns and ^60Co has a half-life of 5.26 years, calculate the net activity of the cobalt sample." | {
"stem_863": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.90 curies/g",
"opt_B": "1.00 curies/g",
"opt_C": "1.50 curies/g",
"opt_D": "1.40 curies/g",
"opt_E": "1.20 curies/g",
"opt_F": "0.6... |
"Problem Statement:\nThe rotational correlation time of a spherical object of radius r immersed in a liquid with viscosity η is given by the Stokes equation: τc = 4πηr3/3kBT. A small molecule with relative molecular mass Mr = 100 in water at 298 K has τc = 50 ps. Assuming that Mr is proportional to the molecular volume... | {
"stem_864": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "420 ns",
"opt_B": "4.2 ns",
"opt_C": "8.4 ps",
"opt_D": "840 ns",
"opt_E": "42 ns",
"opt_F": "840 ps",
"opt_G": "84 ns",
... |
"Problem Statement:\nHow much capacitance is required to resonate a coil of 0.001mHat a frequency of 2MHz?" | {
"stem_865": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5,000pF",
"opt_B": "7,000pF",
"opt_C": "9,500pF",
"opt_D": "8,000pF",
"opt_E": "5,500pF",
"opt_F": "6,330pF",
"opt_G": "7,250pF... |
"Problem Statement:\nThe annular spacebetween two concentricaluminium spheresis evacuated to provide insulation to the system. The radii of the inner and outer spheres are 0.75 ft and 1.0 ft respectively. The inner sphere contains liquefied oxygen and theouter sphere is maintained at 45°F. The boiling temperatureof oxy... | {
"stem_866": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12.34 Btu/hr",
"opt_B": "13.89 Btu/hr",
"opt_C": "18.45 Btu/hr",
"opt_D": "10.25 Btu/hr",
"opt_E": "20.36 Btu/hr",
"opt_F": "15.26 Bt... |
"Problem Statement:\nIn one of the experiments on gravitational sedimentation equilibrium, the number ofgambogeparticles in water at 20°C were monitored. (Gambogeis a yellow pigment not soluble in water.) The following data was obtained: Height in\\mum: 0 25 50 75 100 Mean no. of particles: 203 166 136 112 91 Assuming ... | {
"stem_867": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.44 × 10^-23 J/°K",
"opt_B": "1.34 × 10^-23 J/°K",
"opt_C": "1.22 × 10^-23 J/°K",
"opt_D": "1.44 × 10^-24 J/°K",
"opt_E": "1.38 × 10^-23 J... |
"Problem Statement:\nCalculate the standard molar entropy of gaseous platinum at 1000°K. Use only the following data, together with the assumption that Pt is an ideal monatomic gas with negligible electronic excitation below 1000°K. T, °K [(G°_T -H°_298) / T] , cal mole^-1°K^-1 298.15 -45.96 1000 -49.17" | {
"stem_868": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "54.3 cal mol^-1K^-1",
"opt_B": "52.7 cal mol^-1K^-1",
"opt_C": "50 cal mol^-1K^-1",
"opt_D": "47.5 cal mol^-1K^-1",
"opt_E": "45.96 cal mol... |
"Problem Statement:\nObtain an expression for the entropy change as a function of pressure and temperature" | {
"stem_869": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "ds = C_v (dT/T) + (R/J)(dv/v)",
"opt_B": "ds = C_v (dT/T) - (R/J)(dv/v)",
"opt_C": "ds= C_p (T/ dT) - (R / J)(dp/ p)",
"opt_D": "ds= C_p (dT/ T) ... |
"Problem Statement:\nFind the inverse Laplace transform of F(s) = [(2s^2 - 4) / {(s - 2)(s + 1)(s - 3)}]" | {
"stem_870": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "f(t) = [(- 4) / 3]e^-2t - (1 / 6)e^2t + (7 / 2)e^-3t",
"opt_B": "f(t) = [(- 4) / 3]e^2t - (1 / 6)e^-t - (7 / 2)e^3t",
"opt_C": "f(t) = [(- 4) / 3]e^3t ... |
"Problem Statement:\nA .05molalKClsolution is electrolyzed in aHittorfcell at 25°C. A silver coulometer connected in series with the cell deposited .4068g of silver. The anode solution of theHittorf cell weighed 132.9g and was found to contain 186mg of potassium. What is the transference number of potassium ion? Atomic... | {
"stem_871": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": ".125",
"opt_B": ".392",
"opt_C": ".675",
"opt_D": ".330",
"opt_E": ".840",
"opt_F": ".560",
"opt_G": ".491",
"opt_H": ".5... |
"Problem Statement:\nAssuming constant field excitation, calculate the no-load voltage of a separately excited generator whose armature voltage is 150 V at a speed of 1800 rpm, when (a) The speed is increased to 2000 rpm. (b) The speed is reduced to 1600 rpm." | {
"stem_872": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "175.5 V and 125.5 V",
"opt_B": "200 V and 160 V",
"opt_C": "165 V and 135 V",
"opt_D": "210 V and 120 V",
"opt_E": "166.7 V and 133.3 V",
... |
"Problem Statement:\nUse the van der Waals parameters for chlorine to calculate approximate values of the Boyle temperature of chlorine." | {
"stem_873": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "$1.25 \\times 10^3$ $\\mathrm{K}$",
"opt_B": "$1.20 \\times 10^3$ $\\mathrm{K}$",
"opt_C": "$1.41 \\times 10^3$ $\\mathrm{K}$",
"opt_D": "$1.10 \... |
"Problem Statement:\nHow many moles of hydrogen gas are present in a 50 liter steel cylinder if the pressure is 10 atmospheres and the temperature is 27°C? R = .082 liter-atm/mole °K." | {
"stem_874": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "20 moles",
"opt_B": "25 moles",
"opt_C": "15 moles",
"opt_D": "5 moles",
"opt_E": "50 moles",
"opt_F": "30 moles",
"opt_G": "45... |
"Problem Statement:\nA particle moves according to the equations x= sin 2t y=cos2t(1) z= e^-t wheret is the time. 1) Determine the velocity of the particle. 2) Determine the acceleration of the particle. 3) Find the magnitudes of the velocity and acceleration att = 0." | {
"stem_875": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Velocity is (0, 2, -1), acceleration is (-4, -4, 0), velocity magnitude is √5, acceleration magnitude is √32",
"opt_B": "Velocity is (2, 0, -1), acceleration... |
"Problem Statement:\nClassify each of the following as a member of the methane series, the ethylene series, or the acetylene series: C_12H_26, C_9H_16, C7H_14 , C_26H_54." | {
"stem_876": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "C_12H_26: alkane series, C_9H_16: ethylene series, C_7H14: alkane series, C_26H_54: ethylene series",
"opt_B": "C_12H_26: acetylene series, C_9H_16: ethylene... |
"Problem Statement:\nIt has been estimated that each square meter of the earth's surface supports 1 × 10^7 g of air above it. If air is 20% oxygen (O_2, molecular weight = 32 g/mole) by weight, approximately how many moles of O_2 are there above each square meter of the earth?" | {
"stem_877": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8 × 10^4 moles",
"opt_B": "7 × 10^5 moles",
"opt_C": "1 × 10^5 moles",
"opt_D": "2.5 × 10^4 moles",
"opt_E": "2 × 10^6 moles",
"opt_F... |
"Problem Statement:\nWater enters a reactor through a length of pipe in which the necessarypreheating is accomplished. The reactor has a maximumpower rating of 150 W per meter of pipe, and its operatingtemperature is 350°K. The flow is measured at 5 kg/hr, and it enters the pipe at a mean bulk temperature of 290°K.If t... | {
"stem_878": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(a) 2 m, (b) 375 K",
"opt_B": "(a) 2.8 m, (b) 355 K",
"opt_C": "(a) 3 m, (b) 370 K",
"opt_D": "(a) 1.5 m, (b) 375 K",
"opt_E": "(a) 1.8 m, ... |
"Problem Statement:\nLowest critical frequency is due to zero and it may be present at the origin or nearer to the origin, then the type of network is" | {
"stem_880": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "RL Circuit.",
"opt_B": "RC circuit.",
"opt_C": "CL circuit.",
"opt_D": "CR circuit.",
"opt_E": "RCL circuit.",
"opt_F": "LRC circuit.... |
"Problem Statement:\nA certainsteel containing 0.7 weight-percent carbon is in equilibriumwith a methane-hydrogen gas mixture containing 99 percent hydrogen and 1 percent methane by volume at 1,173°K and 1 atm.Findthe activity of carbon in the steel andthe equilibrium volume percentages of a carbon monoxide-carbondioxi... | {
"stem_881": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "The activity of the carbon in the steel is 0.47. The gas contains 90.6% CO and 9.4% CO2 (by volume).",
"opt_B": "The activity of the carbon in the steel is 0... |
"Problem Statement:\nUsing the method of dimensional analysis, deduce a relationship between the bubble diameter and the properties of water when bubbles are formed by a gas ejecting out from a small orifice underneath the water surface." | {
"stem_882": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "D = f[(\\sigma) / (g_c\\rho d^2), {\\mu^2 / (g\\rho d^3)}]",
"opt_B": "D = f[(\\mu\\sigma) / (g_c\\rho d), {g / (\\rho^2d^3)}]",
"opt_C": "D = f[(g_c\\... |
"Problem Statement:\nMetallic sodium violently liberates H_2 gas according to the Reaction 2Na(s) + 2H_2 0(l) \\rightarrow 2NaOH + H_2 (g) If you collect the gas at 25°C under 758 mm Hg of press-ure, and it occupies 2.24 liters, (a) find the number of moles of hydrogen produced, (b) find the number of moles of water de... | {
"stem_883": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.12 mole H_2, 0.24 mole of water, 6%",
"opt_B": "0.0913 mole H_2, 0.183 mole of water, 3.24%",
"opt_C": "0.2 mole H_2, 0.4 mole of water, 5%",
"... |
"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 $C_... | {
"stem_884": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "+5.8 kJ",
"opt_B": "+6.3 kJ",
"opt_C": "+2.5 kJ",
"opt_D": "+3.0 kJ",
"opt_E": "+3.7$\\text{kJ}$",
"opt_F": "+7.0 kJ",
"opt_G":... |
"Problem Statement:\nWhat is the uncertainty of the momentum of an electron if we know its position is somewhere in a $10 \\mathrm{pm}$ interval?" | {
"stem_885": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4.2 $10^{-23} \\mathrm{~kg} \\cdot \\mathrm{m} \\cdot \\mathrm{s}^{-1}$",
"opt_B": "7.2 $10^{-23} \\mathrm{~kg} \\cdot \\mathrm{m} \\cdot \\mathrm{s}^{-1}$",... |
"Problem Statement:\n$$\n\\text {Calculate the energy of a photon for a wavelength of } 100 \\mathrm{pm} \\text { (about one atomic diameter). }\n$$\n" | {
"stem_886": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4 x 10^-15 J",
"opt_B": "1.2 x 10^-15 J",
"opt_C": "5 x 10^-15 J",
"opt_D": "3.5 x 10^-15 J",
"opt_E": "2 $10^{-15} \\mathrm{~J}$",
"... |
"Problem Statement:\nAssume that all gases are perfect and that data refer to 298 K unless otherwise stated. Estimate the standard reaction Gibbs energy of $\\mathrm{N}_2(\\mathrm{g})+3 \\mathrm{H}_2(\\mathrm{g}) \\rightarrow$ $2 \\mathrm{NH}_3$ (g) at $500 \\mathrm{~K}$." | {
"stem_887": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12 $\\mathrm{mol}^{-1}$",
"opt_B": "15 $\\mathrm{mol}^{-1}$",
"opt_C": "5 $\\mathrm{mol}^{-1}$",
"opt_D": "7$\\mathrm{mol}^{-1}$",
"opt_E":... |
"Problem Statement:\nAn infinite hollow circular cylinder of dielectric of radii a and b (b > a) and dielectric constant K is set with its axis perpendicularto a uniform field of strength E. Find the field inthe hollow space." | {
"stem_888": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "(4K) / {(K^2 + 1) - (K^2 - 1) (a/b)^2}",
"opt_B": "- [(4K) / {(K - 1)^2 - (K + 1)^2 (a/b)^2}]",
"opt_C": "(2K) / {(K + 1)^2 - (K - 1)^2 (a/b)^2}",
... |
"Problem Statement:\nA chemist dissolves methyl alcohol in n-octane. He adds this to excessmethylmagnesiumiodide, which is dissolved in the high-boiling solvent, n-butyl ether. A gas is evolved, which is collected at STP. It occupies a volume of 1.04 cc. What is the gas and how many grams of methyl alcohol were present... | {
"stem_889": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Hydrogen, 1.48 x 10^-3 grams of methyl alcohol",
"opt_B": "Methane, 0.74 x 10^-3 grams of methyl alcohol",
"opt_C": "Hydrogen, 2.96 x 10^-3 grams of me... |
"Problem Statement:\nConsider a screw used in translation along with a 22 mm. insidediameter and 38 mm. outside diameter collar. The screwhas a mean; diameter of 18 mm. and has a single trapezoidalmetric thread cut with a pitch of 4 mm. Determine thetorque required to raise a load of 500 kg, if both the collarand the t... | {
"stem_890": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "45.82 N-m",
"opt_B": "35.82 N-m",
"opt_C": "25.82 N-m",
"opt_D": "55.82 N-m",
"opt_E": "50.82 N-m",
"opt_F": "30.82 N-m",
"opt_... |
"Problem Statement:\nConsider a double layered wall. Theemissivitiesof the outer andinner layer are 0.85 and 0.46, respectively. The ambient temperatureis 110°F and the temperature inside the room is 60°F.Calculate the radiant heat flux per unit area. Also, calculatethe radiant heat flux when an aluminium radiation shi... | {
"stem_891": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "21.64 Btu/hr ft^2 and 1.66 Btu/hr ft^2",
"opt_B": "25.64 Btu/hr ft^2 and 1.46 Btu/hr ft^2",
"opt_C": "27.64 Btu/hr ft^2 and 2.06 Btu/hr ft^2",
"o... |
"Problem Statement:\nA gas containing 0.05 mass fraction of CO flows into a container at a rate of 250 lb/hr, where it is mixed with preheated air to oxidize the CO to CO_2. The con-tainer radiates 65% of the heat liberated due to com-bustion. Determine the radiation area required if the container attains a temperature... | {
"stem_892": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.0 ft^2",
"opt_B": "2.2 ft^2",
"opt_C": "1.2 ft^2",
"opt_D": "2.0 ft^2",
"opt_E": "2.5 ft^2",
"opt_F": "0.5 ft^2",
"opt_G": "1... |
"Problem Statement:\nA factory draws a lagging load of 2000 kW at a power factor of 0.6 from 6000 V mains. A synchronous capacitor is purchased to raise the overall power factor to unity. Assuming that the synchronous capacitor losses are 275 kW, calculate: (a) Originalkilovarsof lagging load. (b)kvarsof correction nee... | {
"stem_893": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2200 kvars, 2400 kVA, 0.15 leading",
"opt_B": "2500 kvars, 3000 kVA, 0.1 leading",
"opt_C": "2667 kvars, 3300 kVA, 0.09 leading",
"opt_D": "1800 ... |
"Problem Statement:\nFind the homogeneous solution to a differential equation for the voltagev_C(t) across a (1/2) F capacitor in a series RLC circuit where R = 4\\Omega, L = 4H,i_L(0) = (1/4) A, andv_C(0) = 0." | {
"stem_894": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "e^(1/2)t cos (1/2) t V",
"opt_B": "e^-(3/4)t sin (1/2) t V",
"opt_C": "e^(1/2)t sin (1/2) t V",
"opt_D": "e^-(1/2)t (1 + sin (1/2) t) V",
"... |
"Problem Statement:\nA container having a volume of 2.5 ft^3 initially contains oxygen gas at a pressure of 125 psia and a temperature of 75°F. Oxygen then leaks from the container until the pressure drops to 100 psia, while the temperature remains the same. Assuming ideal gas behavior, determine how many pounds of oxy... | {
"stem_895": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "-0.25 lbm",
"opt_B": "-0.347 lbm",
"opt_C": "-0.347 lbm.mol",
"opt_D": "-0.40 lbm",
"opt_E": "-0.45 lbm",
"opt_F": "-0.35 lbm",
... |
"Problem Statement:\nTwo large tanks, each contain a mixture of nitrogen (A) and oxygen(B), but at different concentrations. Tank 1 has 85 molepercent N_2 and 15 mole percent O_2, while tank 2 has 25 mole percent N_2 and 75 mole percent O_2. A tube 1.5 m long with an inside diameter of 0.150 m connects the two tanks. I... | {
"stem_896": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7.85 × 10^-8 kgmol/sec",
"opt_B": "6.02 × 10^-9 kgmol/sec",
"opt_C": "2.0 × 10^-9kgmol/ sec",
"opt_D": "1.23 × 10^-5 kgmol/sec",
"opt_E": "... |
"Problem Statement:\nFind the Laplace transform of f(t) = t, for t > 0." | {
"stem_897": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "L{t} = (2 / s^3)",
"opt_B": "L{t} = (1 / s^3)",
"opt_C": "L{t} = s^2",
"opt_D": "L{t} = (1 / (2s^2))",
"opt_E": "L{t} = (1 / s^2)",
"... |
"Problem Statement:\nThe helium content of the atmosphere at sea level is about 5 × 10^-4 mol %. A round 100-cm^3 Pyrex flask with wall thickness of 0.7 mm is evacuated to 10^-12atmand sealed; calculate the pressure in the flask at the end of one month due to inward diffusion of helium. At 20°C the permeability of Pyre... | {
"stem_898": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.08 × 10^-5 m bar",
"opt_B": "6.28 × 10^-7 m bar",
"opt_C": "1.04 × 10^-6 m bar",
"opt_D": "3.12 × 10^-4 m bar",
"opt_E": "8.16 × 10^-6 m ... |
"Problem Statement:\nYou add radioactive material whose activity per unit mass was 45.5 s^-1 g^-1 to a liquid and then dilute it so the activity per unit mass was 6.5 s^-1 g^-1 . What is the dilution factor and the original amount of radioactive material? Assume 100 mg of radioactive material was added." | {
"stem_900": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Dilution factor is 4.0, Original amount of radioactive material is 300 mg",
"opt_B": "Dilution factor is 9.0, Original amount of radioactive material is 800 ... |
"Problem Statement:\nA common rocket propellant is a mixture of one part liquid hydrazine (N_2H_4) as fuel and two parts liquid hydrogen peroxide (H_2O_2) as oxidizer. These reactants are hypergolic, that is, they ignite on contact. The reaction proceeds according to the equation N_2H_4(l) + 2H_2O_2 (l) \\rightarrow N_... | {
"stem_902": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "- 120 Kcal/mole",
"opt_B": "12 Kcal/mole",
"opt_C": "- 57.8 Kcal/mole",
"opt_D": "- 151 Kcal/mole",
"opt_E": "33.5 Kcal/mole",
"opt_F... |
"Problem Statement:\nShow that l'Hôpital's rule amounts to forming a Taylor expansion of both the numerator and the denominator. Evaluate the limit\n$$\n\\lim _{x \\rightarrow 0} \\frac{\\ln (1+x)-x}{x^2}\n$$\nboth ways." | {
"stem_903": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3/2",
"opt_B": "0",
"opt_C": "-3/2",
"opt_D": "2",
"opt_E": "1/4",
"opt_F": "1",
"opt_G": "-1",
"opt_H": "-1/2",
"o... |
"Problem Statement:\nUnder what conditions will a pure sample of an ideal gas not only exhibit a pressure of 1 atm but also a concentration of 1 mole liter^-1 ?" | {
"stem_904": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "310K",
"opt_B": "12.19K",
"opt_C": "273.15K",
"opt_D": "1K",
"opt_E": "0.082K",
"opt_F": "22.4K",
"opt_G": "546.3K",
"opt... |
"Problem Statement:\nThe VSWR (voltage standing wave ratio) on a 50-Ohm (characteristic impedance) transmission line is 2. The distance between successive voltage minima is 40 cm while the distance from the load to the first minima is 10 cm. What is the reflection coefficient and load impedance?" | {
"stem_905": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "\\Gamma_L = [(- j) / 3], Z_L = 50 - 30j ohm",
"opt_B": "\\Gamma_L = [(- j) / 3], Z_L = 60 - 30j ohm",
"opt_C": "\\Gamma_L = [(- j) / 6], Z_L = 50 - 10j... |
"Problem Statement:\nAn unknown substance is found to have a high melting point. In addition, it is a poor conductor of electricity and does not dissolve in water. The substance most likely contains" | {
"stem_906": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "dipole-dipole bonding",
"opt_B": "ionic bonding",
"opt_C": "covalent network bonding",
"opt_D": "nonpolar covalent bonding",
"opt_E": "coor... |
"Problem Statement:\nAssume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. Calculate the final pressure of a sample of carbon dioxide that expands reversibly and adiabatically from $57.4 \\mathrm{kPa}$ and $1.0 \\mathrm{dm}^3$ to a final volume of $2.0 \\mat... | {
"stem_908": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "18 kPa",
"opt_B": "28 kPa",
"opt_C": "22$\\text{kPA}$",
"opt_D": "45 kPa",
"opt_E": "40 kPa",
"opt_F": "15$\\text{kPA}$",
"opt_... |
"Problem Statement:\nA 2 ft high vertical plate is maintained at 200°F. If steam at 15psiais condensing on the plate, determine the average heat transfer coefficient of the plate." | {
"stem_909": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "7500 Btu/hr-ft^2-°F",
"opt_B": "969.7 Btu/hr-ft2-°F",
"opt_C": "540 Btu/hr-ft^2-°F",
"opt_D": "1200 Btu/hr-ft^2-°F",
"opt_E": "1665 Btu/hr-... |
"Problem Statement:\nThere is an appreciative sigh throughout the audience in the \"mad\\textquotedblright scene of \"LuciadiLammermoor\", when the soprano hits high C. On the musical scale, high C has a frequency of 1,024 sec-^1 . Assuming the velocity of sound in air is 3.317 × 10^4 cmsec-^1 , compute the wavelength ... | {
"stem_910": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "12.14 cm",
"opt_B": "40.96 cm",
"opt_C": "24.29 cm",
"opt_D": "8.59 cm",
"opt_E": "81.92 cm",
"opt_F": "32.39 cm",
"opt_G": "64... |
"Problem Statement:\nA gravity fed lock in a proposed shipping canal is to be studied with a 1/100-scale geometrically similar model. (a) If the model lock fills in 0.8 min, estimate the time for the prototype to fill. (b) Find the ratio of corresponding mass flow rates in the model and prototype locks." | {
"stem_911": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5 min, \\(\\lambda^7/2\\)",
"opt_B": "9 min, \\lambda^3/2",
"opt_C": "11 min, \\(\\lambda^4\\)",
"opt_D": "12 min, \\(\\lambda^5/3\\)",
"op... |
"Problem Statement:\nAn antenna lead-in cable with attenuation loss L= 4 and gain G = 0.25 is used for feeding signal to a receiver with F = 10 db and gain G = 80 db. Assuming that cable is being subjectedto physical temperature of 290°K, calculate ° (a)noisefigure of the system. (b)overallnoise temperature." | {
"stem_912": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "18 db, 13,000K",
"opt_B": "17.5 db, 12,000K",
"opt_C": "20 db, 15,000K",
"opt_D": "15 db, 11,000K",
"opt_E": "16.02 db, 11,310K",
"op... |
"Problem Statement:\n(i)Theinside diameter of the stator of a small, three-phase, six-polesynchronous machine is 0.300 m. and the length of thestator stack is 0.250 m. If the air-gapfluxdensity is sinusoidallydistributed at the inside surface of the stator, andhas a peak value of 0.96 T. find the flux per pole. (ii) Th... | {
"stem_913": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.021Wb, 120 degrees, 0.91, 0.042Wbturns, 9.0 V",
"opt_B": "0.024Wb, 150 degrees, 0.9659, 0.046Wbturns, 10.3 V",
"opt_C": "0.02Wb, 140 degrees, 0.9, 0.... |
"Problem Statement:\nA toluene -xylenemixture is fractionated in a bubble-cap column. Approximate the gas-phase mass transfer coefficient. The following pertinent data are given: G_g= vaporflowrate= 23.6kgmole/hr G_l= liquidflowrate= 17.84kgmole/hr M_g = average molecular weight of gas = 93.2 kg/kgmole M_l= average mol... | {
"stem_914": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "4500kgmole/m^3 \bullet hr",
"opt_B": "3000kgmole/m^3 \bullet hr",
"opt_C": "2500 kgmole/m^3•hr",
"opt_D": "3552kgmole/m^3 \bullet hr",
"opt... |
"Problem Statement:\nTi(s) + 2Cl_2(g) \\rightharpoonupTiCl_4(l) Using the following standard entropy data, calculate the entropychange for the system @ 298 K. Standard entropy data (@ 25°C) Ti(s)----S^0 = 7.2eu/mole Cl_2(g)----S^0 = 53.3eu/mole TiCl_4(l)----S^0 = 60.4eu/mole" | {
"stem_915": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "107.4eu",
"opt_B": "0eu",
"opt_C": "53.4eu",
"opt_D": "60.4eu",
"opt_E": "-107.4eu",
"opt_F": "- 53.4eu",
"opt_G": "-60.4eu",
... |
"Problem Statement:\nWhat is the ionization constant, Ka, for a weak monoprotic acid if a 0.060 molar solution has a pH of 2.0?" | {
"stem_916": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "3.0 × 10^-3",
"opt_B": "2.0 × 10^-3",
"opt_C": "1.7 × 10^-1",
"opt_D": "1.5 × 10^-2",
"opt_E": "2.0 × 10^-1",
"opt_F": "2.5 × 10^-2",... |
"Problem Statement:\nObtain the partial-fraction expansion of F(s) = [(s + 2) / {(s + 1)^2 (s + 3)}]" | {
"stem_917": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "F(s) = [(1 / 5) / (s + 1)] + [(2 / 5) / (s + 1)^2] - [(2 / 5) / (s + 3)]",
"opt_B": "F(s) = [(1 / 2) / (s + 1)] - [(1 / 2) / (s + 1)^2] + [(1 / 4) / (s + 3)]... |
"Problem Statement:\nThe emissivity of inner and outer surfaces of vertical air spacein a 6 in. thick and 9 ft. high wall is 0.90. The inner andouter wall surfaces are at 95°F and 125°F respectively. Determine the total heat transfer rate across the air space." | {
"stem_918": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "45.46 Btu/hr-ft^2",
"opt_B": "30.46 Btu/hr-ft^2",
"opt_C": "55.46 Btu/hr-ft^2",
"opt_D": "25.46 Btu/hr-ft^2",
"opt_E": "40.46 Btu/hr-ft^2",... |
"Problem Statement:\nWrite the following integrodifferential equation in the state form. [(d^2v) / (dt^2)] + a [(dv) / (dt)] +bv+ C ^t\\int_0 v(t')dt' = sin t" | {
"stem_919": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "q̇_2 = cq_1 + bq_2 + aq_3 - sin t",
"opt_B": "q̇_3 = - cq_1 - bq_2 - aq_3 +cost",
"opt_C": "q̇_3 = - cq_1 - bq_2 + aq_3 - sin t",
"opt_D": "q̇_3 ... |
"Problem Statement:\nThe spherical atomic nucleus of potassium has a radius of about 4 × 10^-13 cm.; 6.02 × 10^23 of these nuclei weigh about 39 g. Calculate the approximate density of the nucleus of potassium in tons per cubic centimeter. Volume of a sphere = 4/3 \\pir^3, where r is the radius." | {
"stem_920": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "8.2 × 10^-2 tons/cm^3",
"opt_B": "9.3 × 10^-8 tons/cm^3",
"opt_C": "1.6 × 10^-13 tons/cm^3",
"opt_D": "5.6 × 10^14 tons/cm^3",
"opt_E": "7.... |
"Problem Statement:\nFind the attenuation per meter along a wave guide for an appliedwave length \\lambda_0 = 2 meters, if the cutoff wave length ofthe guide is\\lambda_oc= 20 cm." | {
"stem_921": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "400 db/meter",
"opt_B": "545 db/meter",
"opt_C": "600 db/meter",
"opt_D": "325 db/meter",
"opt_E": "250 db/meter",
"opt_F": "1000 db/... |
"Problem Statement:\nAn electrical current flows along a flat plate of carbon steel 1/2 in. thick, 4 in. wide and 2.5 ft. long, when a potential of 12 volts is applied. Under steady state conditions, if the temperature of the lateral faces is 1500°F, determine the temperature at the center of the plate. The heat loss f... | {
"stem_922": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1480°F",
"opt_B": "1475°F",
"opt_C": "1600°F",
"opt_D": "1500°F",
"opt_E": "1510°F",
"opt_F": "1549°F",
"opt_G": "1555°F",
... |
"Problem Statement:\nA long wire composed of a smooth round conductor runs above and parallel to the ground (assumed to be a large conducting plane). A high voltage exists between the conductor and the ground. The maximum electric stress occurs at" | {
"stem_923": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "the point farthest from the ground on the conductor's surface.",
"opt_B": "lower surface of the conductor.",
"opt_C": "upper surface of the conductor."... |
"Problem Statement:\nFind the radiation resistance of a single-turn circular loop witha circumference of (1/4) wavelength." | {
"stem_924": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.27 ohm",
"opt_B": "1.07 ohm",
"opt_C": "0.107 ohm",
"opt_D": "0.77 ohm",
"opt_E": "0.87 ohm",
"opt_F": "0.57 ohm",
"opt_G": "... |
"Problem Statement:\nWhat is the orbital angular momentum quantum number, l, of the electron that is most easily removed when ground-state aluminum is ionized?" | {
"stem_925": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "5",
"opt_B": "2",
"opt_C": "-1",
"opt_D": "4",
"opt_E": "6",
"opt_F": "3",
"opt_G": "7",
"opt_H": "1",
"opt_I": "0"... |
"Problem Statement:\nA D-flip-flop is said to be transparent when" | {
"stem_926": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "the output is independent of the clock",
"opt_B": "the output is constantly changing",
"opt_C": "the output is triggered by a rising edge clock",
... |
"Problem Statement:\nA two-pole dc generator has an armature containing a total of 40 conductors connected in two parallel paths. The flux per pole is 6.48 × 10^8 lines, and the speed of the prime mover is 30 rpm. The resistance of each conductor is 0.01 ohm, and the current-carrying capacity of each conductor is 10 A.... | {
"stem_927": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "Average generated voltage per path and the generated armature voltage: 110 V, Armature current delivered to an external load: 12 A, Armature resistance: 0.08 Ω, Te... |
"Problem Statement:\nSodium crystallizes in the body-centered cubic structure with a = 4.24 \\AA. Calculate the theoretical density of Na." | {
"stem_928": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "2.50 × 10^3 kg m^-3",
"opt_B": "0.97 × 10^3 kg m^-3",
"opt_C": "0.50 × 10^3 kg m^-3",
"opt_D": "1.20 × 10^3 kg m^-3",
"opt_E": "1.75 × 10^3... |
"Problem Statement:\nlf the atomic weight of carbon 12 is exactly 12amu, find the mass of a single carbon-12 atom." | {
"stem_929": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.5 × 10^-23 g / atom",
"opt_B": "1.2 × 10^-23 g / atom",
"opt_C": "2.0 × 10^-23 g / atom",
"opt_D": "3.0 × 10^-23 g / atom",
"opt_E": "2.7... |
"Problem Statement:\nTwo electrochemical cells were fitted with inert platinum electrodes and connected in series. The first cell contained a solution of a metal nitrate; the second cell, metal sulfate. After operation of the cell for a prescribed period of time, it was observed that 675 mg of the metal had been deposi... | {
"stem_930": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "75.2 g / equiv.",
"opt_B": "150.3 g / equiv.",
"opt_C": "120.5 g / equiv.",
"opt_D": "92.1 g / equiv.",
"opt_E": "98.7 g / equiv.",
"... |
"Problem Statement:\nOne of the two principal methods for the determination of viscosities of gases is thePoiseuille'sflow experiment. In this experiment, a sample of air at 298°K was allowed to flow through a tube with radius 1mm and length 1m. Pressures at both ends of the tube were 765 mm Hg and 760 mm Hg respective... | {
"stem_931": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "1.50 × 10^-5 kg m^-1 s^-1",
"opt_B": "1.92 × 10^-5 kg m^-1 s^-1",
"opt_C": "2.00 × 10^-5 kg m^-1 s^-1",
"opt_D": "1.82 × 10^-5 kg m^-1 s^-1",
... |
"Problem Statement:\nHydrogen peroxide solution for hair bleaching is usually prepared by mixing 5.0 g of hydrogen peroxide (H_2O_2, molecular weight = 34 g/mole) per 100 ml of solution. What is themolarityof this solution?" | {
"stem_932": {
"type": "choice",
"instructions": "Select the mathematically and physically rigorous solution.",
"criteria": {
"opt_A": "0.2 M",
"opt_B": "3.0 M",
"opt_C": "2.5 M",
"opt_D": "0.75 M",
"opt_E": "1.5 M",
"opt_F": "0.5 M",
"opt_G": "2.0 M",
"opt... |
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