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## Homework Statement

A very simple question, but I can't figure it out.

An ideal diatomic gas, with rotation but no oscillation, undergoes an adiabatic compression. Its initial pressure and volume are 1.20 atm and 0.200 m^3. Its final pressure is 3.60 atm. How much work is done by the gas?

## Homework Equations

Adiabatic, so Q=0 and ΔEint=W (because it is compression right?)

ΔU=nCvΔT

## The Attempt at a Solution

Initial pressure = 1.22 * 10^5 pa

Final pressure = 3.66 * 10^ 5 Pa

V = 0.200 m^3

I tried to solve ΔU=5/2*(P2V2-P1V1) but I do not know V1..

Also U=-∫pdV right.. I am messing up, though its pretty simple I guess.

Can anybody help me out please?