# Compression of a gas

## Homework Statement

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A closed cylinder with a piston is used to compress gas that is initially at 1bar and temperature 293K. The compression is performed adiabatically until the volume is 1m3 and the pressure is 10bar, calculate the work done.

## Homework Equations

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pV = nR0T - ideal gas assumption
pVy = const. - adiabatic compression
W = (p2V2 - p1V1) / y - 1 - work for adiabatic compression

## The Attempt at a Solution

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We have the following unknown variables: T2 , V1 and y. And we only have two equations. Is there anything I am missing?

Chestermiller
Mentor
Do you know what gas is, or whether it is mono atomic?

BvU
Homework Helper
Hello BassGuitar, Can't you use the ideal gas equation twice ? never mind. Leave this to Chet !

Unfortunately, the gas type is not mentioned :(

Chestermiller
Mentor
Unfortunately, the gas type is not mentioned :(
Well, you need to know the heat capacity, or equivalently, ##\gamma##. Suppose you assume that the gas is air, with ##\gamma=1.4##

Yes, so I guess the problem is under-defined. If I assume that the gas is air the solution is obvious. Thank you for your help. I will mark this as solved.