# Ideal Gas Equation

1. Jan 28, 2009

### keemosabi

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

2. Relevant equations
pv=nRT

3. The attempt at a solution
I plugged in to 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.

2. Jan 28, 2009

### mgb_phys

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

3. Jan 28, 2009

### keemosabi

U = f*d+Q
U = A*p*d+Q
U = p*V+Q

Does that seem right?

4. Jan 28, 2009

### 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 [Broken]

Last edited by a moderator: May 3, 2017