Question

The equation of state of a certain gas is given by p = rt/vm + (a + bt)/vm2, where a and b are constants. find (∂v/∂t)p.

Answer 1

Given:
$p= \frac{RT}{vm} + \frac{a+bT}{vm^{2}} \\or\\v= \frac{1}{p}[ \frac{R}{m} + \frac{a+bT}{m^{2}}]$

Answer:
When p is held constant,
$\frac{\partial v}{\partial T} |_{p}= \frac{1}{p}[ \frac{R}{m}+ \frac{b}{m^{2}}]$