Is the Joule-Thompson experiment an isenthalpic process?

[zeshkani]

Homework Statement

Show that the Joule-Thompson experiment is an isenthalpic process. (ΔH=0). The experimentally determined quantity is (Partial derivative T)/(Partial derivative P)H . Starting with the total differential for H, show that:

(Partial deriv H)/(Partial deriv P)T = - Cp(Partial deriv T)/(Partial deriv P)H

does anybody know even where to start ??, iam just confused with this question

 

[Kurdt]

Do you know what the total differential of H is?

 

[zeshkani]

no i dont, since i never took calc 3 and still having some hard time partial derivatives

 

[Kurdt]

The total differential of H is:

$$dH=C_p dT+ \left[ v - T \left( \frac{\partial v}{\partial T} \right) _p \right] dp$$

 

[zeshkani]

those this even seem right ??

 

[Kurdt]

If its isoenthalpic the dH is going to be zero. You're almost there.