# Calculate the work done

1. Jul 18, 2011

### paragchitnis

1. The problem statement, all variables and given/known data
Calculate the work done by the system in an irreversible (single step) adiabatic expansion of 2 moles of a polyatomic gas ($\gamma$ = 4/3) from 300K and pressure 10 atm to 1 atm.

2. Relevant equations
W = nCv$\Delta$T
n = Moles of gas
Cv = R/($\gamma$-1) R-Universal gas constant
$\Delta$T- Change in absolute temperature

3. The attempt at a solution
The given answer is 405R. I am unable to find out the change in temperature as final temperature and volume are unknown. Is there any other formula to calculate the work done in adiabatic expansion?

2. Jul 18, 2011

### Pi-Bond

Are you aware that $P V^{\gamma} = constant$ for adiabatic processes? You can find the final temperature using this fact and the ideal gas equation of state.

3. Jul 22, 2011

### paragchitnis

I think PV$\gamma$= constant is applicable for adiabatic reversible processes only. It is irreversible process..