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A quantity of a diatomic ideal gas undergoes a process in which both its pressure and volume are increased by a factor of n =

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A quantity of a diatomic ideal gas undergoes a process in which both its pressure and volume are increased by a factor of n = 7 as shown in the figure below. What is the energy absorbed by heat into the gas during this process? Hint: The internal energy of a diatomic ideal gas at pressure P and occupying volume V is given by U = %PV. (Give your answer as a multiple of POVO.) 108 X Your response differs from the correct answer by more than 10%. Double check your calculations. x PoVYo The figure below shows a cylinder filled with an ideal gas, which has a moveable piston resting on it. The cylinder's volume is initially 4.50 L, when a force on the piston of F = 34.5 kN pushes the piston downward a distance d = 0.120 m, until the volume of the cylinder is 3.00 L. The process occurs while the cylinder is in thermal contact with a large energy reservoir at a temperature of 295 K. @ (a) How much work (in k) is done on the gas by the piston during the process? kJ (b) What is the change in internal energy (in kJ) of the gas during the process (from the initial state to the final state)? kJ (c) What is the energy transfer (in kJ) by the gas as heat during the process? (Treat the gas as the system and let the sign of your answer indicate the direction of energy flow.) kJ (d) The entire experiment is repeated with the same conditions, except now instead of being in contact with a heat reservoir, the cylinder is thermally insulated from its environment (allowing no heat to be transferred to or from the gas). In this case, what happens to the temperature of the gas during the process? The temperature would decrease. The temperature would remain constant. The temperature would increase. A gas expands from I to F along the three paths indicated in the figure below. Calculate the work done on the gas along each of the following paths. P(atm) 10 A 8 6 B F 4 2 0 V (liters) 2 4 6 8 (a) IAF -5065 (b ) IF -2279.3 X Your response differs from the correct answer by more than 10%. Double check your calculations. J (c) IBF -506.5 X Your response differs from the correct answer by more than 10%. Double check your calculations. J

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