Enthalpy derivation differential equation

[Mardonio]

Homework Statement

A state equation for a certain gas is $(P + b)v = RT$ and its internal energy is $u = aT +bv +u_o$

show that $$(\frac {\partial H} {\partial v})_P = \frac {C_p T} {v}$$

Relevant Equations

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Good evening,
unfortunately I'm pretty lost in this problem.

I tried to use the chain rule $$(\frac {\partial H} {\partial v})_P = (\frac {\partial H} {\partial T})_P (\frac {\partial T} {\partial v})_P$$ and using some Maxwell relations but it doesn't work very well.
I know that $$T = (\frac {\partial H} {\partial S})_P$$ but I don't know how I would get to the answer.

I would be very happy if someone helped me.

Thanks.

 

[Chestermiller]

All you need to do is to use the gas law. The Maxwell relation is unnecessary for this problem.