(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A 1.20 mol sample of an ideal diatomic gas at a pressure of 1.20 atm (P_{1}) and temperature of 380 K (T_{1}) undergoes a process in which its pressure increases linearly with temperature. The final temperature and pressure are 680 K (T_{2}) and 1.83 atm (P_{2}).

(b) Determine the work done by the gas.

2. Relevant equations

(T_{2}- T_{1}) / (P_{2}- P_{1}) = constant

V_{2}/ V_{1}= P_{1}T_{2}/ P_{2}T_{1}

PV = nRT

W = integral of PV

3. The attempt at a solution

The answer is supposed to be [nR(P_{1}T_{2}- P_{2}T_{1}) ln(P_{2}/P_{1})] / (P_{2}- P_{1})

but I can't figure out how to get there despite the hours I have poured into this problem. All I know is that volume is not constant in order for there to be work done. Also, I have the vague idea of finding the linear equation or relationship between T and P using that equation to plug in T in PV = nRT. Then, technically, there would be a graph for PV and I could solve for V_{1}and V_{2}, which can be the limits of integration for the integral of PV (to get work). But isn't that way too complicated, especially as an integral...so I was wondering whether someone else has any idea.

Please help explain, and thank you!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Physics Thermodynamics - Finding Work

**Physics Forums | Science Articles, Homework Help, Discussion**