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Show that the isothermal work may also be expressed as W = ๐‘›โข๐‘…โข๐‘‡โขlnโก(๐‘ƒ๐‘–/๐‘ƒ๐‘“)

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Question

Show that the isothermal work may also be expressed as W = `nRTln(P_i/P_f)`

Numerical
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Solution

In the usual notation,

W = `nRT ln  V_f/V_i` and Pi Vi = Pf Vf = nRT in an isothermal process

∴ `V_f/V_i = P_i/P_f`

and W = `nRT ln  P_i/P_f`

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Chapter 4: Thermodynamics - Intext Questions [Page 91]

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Balbharati Physics [English] Standard 12 Maharashtra State Board
Chapter 4 Thermodynamics
Intext Questions | Q 1. | Page 91
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