Partial Derivative Ideal Gas

  • #1
ramsharmjarm
7
0

Homework Statement



Prove that
(∂P/∂V) n,T = 1/(∂V/∂P) n,T

n and T are supposed to mean that theyre just constants

Homework Equations



Ideal Gas

PV=nRT

The Attempt at a Solution



I tried

(∂P/∂V) n,T= ∂nRT/v/∂V = ∂nRT/V ∂V

then im stuck here
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,263
620

Homework Statement



Prove that
(∂P/∂V) n,T = 1/(∂V/∂P) n,T

n and T are supposed to mean that theyre just constants

Homework Equations



Ideal Gas

PV=nRT

The Attempt at a Solution



I tried

(∂P/∂V) n,T= ∂nRT/v/∂V = ∂nRT/V ∂V

then im stuck here

Why are you stuck? n, R and T are constant. Move them outside the differentiation. Now you've just got ∂(1/V)/∂V. What's that?
 

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