Derive the work done of an ideal gas undergoing isothermal expansion at temperature T1 if the volume changes from V1 to V2. Express in terms of P1 and P2. V2 W = Where: p= T/V By substitution: V2 W = AP v1 Applying the rules of integration, the word done will become W= In| Using: PIV1 = nRT & P2V2 = nRT The work done in terms of pressure is expressed as W = In|

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter13: Spontaneous Processes And Thermodynamic Equilibrium
Section: Chapter Questions
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,Derive the work done of an ideal gas undergoing isothermal expansion at temperature T1 if the volume changes from V1 to V2. Express in terms of
P1 and P2.
V2
W =
Where: p=
T/V
By substitution:
dv
W =
v1
V
Applying the rules of integration, the word done will become
W=
In
Using:
PIVI = nRT & PZV2 = nRT
The work done in terms of pressure is expressed as
W =
In
Transcribed Image Text:,Derive the work done of an ideal gas undergoing isothermal expansion at temperature T1 if the volume changes from V1 to V2. Express in terms of P1 and P2. V2 W = Where: p= T/V By substitution: dv W = v1 V Applying the rules of integration, the word done will become W= In Using: PIVI = nRT & PZV2 = nRT The work done in terms of pressure is expressed as W = In
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