# Differentiation of compression factor

1. Dec 5, 2008

### yungwun22

1. The problem statement, all variables and given/known data The problem reduces the derivative (dZ/d(1/V)) to (dZ/dV) x (dV/d(1/V)), where Z is the compression factor and v is molar volume. It further shows that it equals -V^2(dZ/dV). I don't know how they arrived at that value because by my logic it should be 1/(-V^2).

2. Relevant equations

3. The attempt at a solution

2. Dec 5, 2008

### gabbagabbahey

A simple substitution of the form u=1/V should be enough to prove to you that dV/(d(1/V))=-V^2.