# Homework Help: Thermodinamic problem

1. Nov 5, 2008

### tommyhakinen

1. The problem statement, all variables and given/known data
10kg of air is compressed in a closed system from an initial temperature of 30° C to a final temperature of 260° C. Given cv = 710 J/kg.K.

Calculate the change in internal energy.

2. Relevant equations
ΔU = Q - W
W = P ΔV
Q = m c ΔT
P V = m R ΔT

3. The attempt at a solution
Since it is a compression, the work done is -ve. I am able to find the Q which has +ve since the temperature increases. However, how can I get the W?

2. Nov 5, 2008

### Stovebolt

Be careful not to make the problem more complicated than it is.

From my reading of it, you have a closed system that has energy added to it in the form of work applied to compress the gas. No other energy goes in or comes out of the system. No other work is done to or by the system. Therefore, the change in energy of the system is equal to the work done on the system.

Make sense?

3. Nov 5, 2008

### tommyhakinen

So, you meant the change of internal energy ΔU = Q?

4. Nov 5, 2008

### Stovebolt

Yes. You have an energy input into the system (increase in internal energy), but no energy output (work done by the system).

5. Nov 5, 2008

### tommyhakinen

Ok. Got it now. So the key word in that problem is "closed system", right?
Okay. Thank you very much for the help..