# Homework Help: Find temperature of ideal gas, given n, P, Vi, Vf, and Work.

1. May 11, 2012

### daleklama

1. The problem statement, all variables and given/known data

The previous part of the question:

(a) 1 mole of an ideal gas in a container is at 303,000 Pa, volume is 0.005 m^3. What is the work done by the gas if it expands at constant pressure to twice its original volume?

(This was easy enough)

The part I'm having trouble with:

(b) Thus, find change in temperature of the gas.

2. Relevant equations

W = p.dV

3. The attempt at a solution

For (a), I used W = p.dV, and by multiplying together (303,000) and (0.005), I got 1515 J as work done.

I now have number of moles, Pressure, initial and final volume, and work. I need to find the change in temperature. I've looked through my notes, but I can't seem to find any equation which would give me the change in temperature.

Thanks very much.

2. May 11, 2012

### andrien

use charle's law and ideal gas eqn.

3. May 11, 2012

### daleklama

I know the ideal gas equation is PV = nRT, and I see that Charles' law is that volume is proportional to temperature, but I don't really understand how to work with 'is proportional to'?

How do I work with Charles' law?

Thanks for helping!

4. May 11, 2012

### andrien

can you get initial temp. from ideal gas eqn and since volume is doubled so is temp.

5. May 11, 2012

### daleklama

Ohhhhhhhh! Got you :) Thanks very much!