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.

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Chapter12: Fluid Dynamics And Its Biological And Medical Applications
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Fill in the boxes. 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 =
'vi
p(V)dv
Where: p=
T/V
By substitution:
V2
dv
V
Applying the rules of integration, the word done will become
W=
In
Using:
P1V1 = nRT & P2V2 = nRT
The work done in terms of pressure is expressed as
W =
In||
Transcribed Image Text:V2 W = 'vi p(V)dv Where: p= T/V By substitution: V2 dv V Applying the rules of integration, the word done will become W= In Using: P1V1 = nRT & P2V2 = nRT The work done in terms of pressure is expressed as W = In||
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