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milan talaviya

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## Homework Statement

The relationship between pressure and volume of an ideal gas is expressed as pv=constant in a reversable isothermal condition. Show that the relationship between pressure and volume of the same gas is expressed as pV^gamma=constant in a reversible adiabatic condition where gamma=Cp,m/Cv,m.

## Homework Equations

gamma=Cp,m/Cv,m.

pV^gamma=constant, rev. adiabatic

pv=constant, rev. ideal

## The Attempt at a Solution

p1v1^(Cpm/Cvm)=p2v2^(Cpm/Cvm) take ln and mult both sides by the Cvm/Cpm

ln p1v1 = ln p2v2 e to both sides

p1v1=p2v2

p1v1/p2v2 = 1

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