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?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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?

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