# Manipulation of Heat and Work Equations

1. Feb 7, 2009

### Wilson95

Dear all,

How do you get from the 1st equation to the 2nd?

dW = -RT dV/V

dW = -RdT + RT dP/P

Also, I’m trying to do the same for this additional pair below…

dQ = C_V dT + RTdV/V

dQ = C_P dT - RT dP/P

Thanks.

2. Feb 8, 2009

### Mapes

Hi Wilson95, welcome to PF. It looks like you're assuming an ideal gas system; for the first set, note that

$$dV=d\left(\frac{RT}{P}\right)$$

I'm not immediately seeing how to handle the second set.