Consider an ideal gas of one mole which is slowly heated and in doing so it goes from initial state (P i , V i ) to final state (5P i , 5V i ), but in such a way that the pressure of the gas is directly proportional to the volume. Calculate (a) Work done on the gas. (b) What is the relation for temperature and volume in this process?

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 27P: An ideal gas expands quasi-statically and isothermally from a state with pressure p and volume V to...
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Consider an ideal gas of one mole which is slowly heated and in doing so it goes from
initial state (P i , V i ) to final state (5P i , 5V i ), but in such a way that the pressure of the gas is directly
proportional to the volume. Calculate
(a) Work done on the gas.
(b) What is the relation for temperature and volume in this process?

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