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"Calculate the work done on 1 mole of a perfect gas in an adiabatic quasistatic compression from volume V1 to V2."

The work done on the gas in this compression is:

[tex]

-\int_{V1}^{V2} P dV

[/tex]

Because we are talking about an ideal gas the ideal gas law applies so:

[tex]

P=\frac{nRT}{V}

[/tex]

Inserting this gives

[tex]

-\int_{V1}^{V2} \frac{nRT}{V} dV = nRT Log[\frac{V1}{V2}]

[/tex]

But for some reason this is not the correct result. However, I get the correct result if I use:

[tex]

P V^\gamma = const

[/tex]

What's going on? Why can't I use the ideal gas law?

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# Work done in adiabatic quasistatic compression

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