86 In an industrial process the volume of 25.0 mol of a monatomic ideal gas is reduced at a uniform rate from 0.616 m to 0.308 m³ in 2.00 h while its temperature is increased at a uniform rate from 27.0°C to 450°C. Throughout the process, the gas passes through thermodynamic equilibrium states. What are (a) the cumulative work done on the gas, (b) the cumulative energy absorbed by the gas as heat, and (c) the molar specific heat for the process? (Hint: To evaluate the integral for the work, you might use ав - bА a + bx dx A + Bx bx B B? - In(A + Bx), an indefinite integral.) Suppose the process is replaced with a two- step process that reaches the same final state. In step 1, the gas volume is reduced at constant temperature, and in step 2 the tempera- ture is increased at constant volume. For this process, what are (d) the cumulative work done on the gas, (e) the cumulative energy absorbed by the gas as heat, and (f) the molar specific heat for the process?

86 In an industrial process the volume of 25.0 mol of a monatomic ideal gas is reduced at a uniform rate from 0.616 m to 0.308 m³ in 2.00 h while its temperature is increased at a uniform rate from 27.0°C to 450°C. Throughout the process, the gas passes through thermodynamic equilibrium states. What are (a) the cumulative work done on the gas, (b) the cumulative energy absorbed by the gas as heat, and (c) the molar specific heat for the process? (Hint: To evaluate the integral for the work, you might use ав - bА a + bx dx A + Bx bx B B? - In(A + Bx), an indefinite integral.) Suppose the process is replaced with a two- step process that reaches the same final state. In step 1, the gas volume is reduced at constant temperature, and in step 2 the tempera- ture is increased at constant volume. For this process, what are (d) the cumulative work done on the gas, (e) the cumulative energy absorbed by the gas as heat, and (f) the molar specific heat for the process?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 21.51AP: A certain ideal gas has a molar specific heat of Cv = 72R. A 2.00-mol sample of the gas always...

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