Ideal Gas Final Temperature and Heat Calculation

[Eastonc2]

Homework Statement

0.020 mol of a diatomic gas, with initial temp. of 20 C, are compressed from 1500 cm^3 to 500 cm^3 in a process in which pV^2=const.

a.) What is the final temp. in C?

b.) how much heat is added during this process?

Homework Equations

PV=nRT

The Attempt at a Solution

I've determined the final temperature to be 606 C, but can't find or think of what type of thermodynamic process, if any, pV^2=const. applies to.

I calculated the const.=~.07304 by setting pV^2=x and solving for x, but I'm not sure if that is even useful, and if it is, how it would be.

 

[vela]

Since you know how P varies with V, you can calculate the work done on the gas. Given the info you already calculated, you can then use the first law to calculate the heat Q.

 

[Eastonc2]

Thanks, I discovered that on my own, and felt like an idiot, on my own. I guess I was just thinking about the problem too much to realize that I already had a way to find p with relation to V.