0.1 moles of an ideal gas at pressure p= 1.000 bar is confined to a cylinder by a piston. The apparatus is thermostatted at T = 300 K. A weight of mass m is placed on the piston, and the gas expands until its pressure has dropped to 0.9600 bar, lifting the mass through a height of 0.500 m. (1) What is the largest value that the mass m can have in this process? (2) After the expansion is complete, we remove the mass m and replace it with a weight of larger mass m'. The piston now falls back through 0.500 m, compressing the gas, and returning the gas to its initial thermodynamic state. What is the smallest value that m' can have in this process? (3) Assuming that m has its maximum value, and m' its minimum value, compute the total thermodynamic work for this cyclical process. Is net work done by the system, or on the system, or is no work done? Draw a qualitative graph on a pV plot that illustrates what you have found. We will see later that your result is a consequence of the Second Law of Thermodynamics.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.28P
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Problem 1
0.1 moles of an ideal gas at pressure p= 1.000 bar is confined to a cylinder by a piston. The apparatus is thermostatted at T
= 300 K. A weight of mass m is placed on the piston, and the gas expands until its pressure has dropped to 0.9600 bar, lifting
the mass through a height of 0.500 m.
(1) What is the largest value that the mass m can have in this process?
(2) After the expansion is complete, we remove the mass m and replace it with a weight of larger mass m'. The piston now
falls back through 0.500 m, compressing the gas, and returning the gas to its initial thermodynamic state. What is the smallest
value that m' can have in this process?
(3) Assuming that m has its maximum value, and m' its minimum value, compute the total thermodynamic work for this
cyclical process. Is net work done by the system, or on the system, or is no work done? Draw a qualitative graph on a pV plot
that illustrates what you have found. We will see later that your result is a consequence of the Second Law of Thermodynamics.
Transcribed Image Text:Problem 1 0.1 moles of an ideal gas at pressure p= 1.000 bar is confined to a cylinder by a piston. The apparatus is thermostatted at T = 300 K. A weight of mass m is placed on the piston, and the gas expands until its pressure has dropped to 0.9600 bar, lifting the mass through a height of 0.500 m. (1) What is the largest value that the mass m can have in this process? (2) After the expansion is complete, we remove the mass m and replace it with a weight of larger mass m'. The piston now falls back through 0.500 m, compressing the gas, and returning the gas to its initial thermodynamic state. What is the smallest value that m' can have in this process? (3) Assuming that m has its maximum value, and m' its minimum value, compute the total thermodynamic work for this cyclical process. Is net work done by the system, or on the system, or is no work done? Draw a qualitative graph on a pV plot that illustrates what you have found. We will see later that your result is a consequence of the Second Law of Thermodynamics.
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