Ideal Gas Equation | Find Gas Temperature

[keemosabi]

Homework Statement

Three moles of an ideal gas are compressed from 5.5 * 10^-2 to 2.8 * 10^-2 m3. During the compression, 6.5 * 10^3 J of work is done on the gas, and heat is removed to keep the temperature of the gas constant at all times.


Find the temperature of the gas.

Homework Equations

pv=nRT

The Attempt at a Solution

I plugged into the above equation so I have p(.028)=3(8.31)T but I don't know how to solve this since there are two variables.

 

[mgb_phys]

You also need a relationship between pressure, volume an energy
hint - work = force * distance

 

[keemosabi]

You also need a relationship between pressure, volume an energy
hint - work = force * distance

U = f*d+Q
U = A*p*d+Q
U = p*V+QDoes that seem right?

 

[mgb_phys]

This is called an isothermal expansion (ie temperature is constant)
Take a look at http://en.wikipedia.org/wiki/Isothermal or http://lorien.ncl.ac.uk/ming/webnotes/Therm1/revers/isothe.htm