- #1

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## 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

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- Thread starter ramsharmjarm
- Start date

- #1

- 7

- 0

Prove that

(∂P/∂V) n,T = 1/(∂V/∂P) n,T

n and T are supposed to mean that theyre just constants

Ideal Gas

PV=nRT

I tried

(∂P/∂V) n,T= ∂nRT/v/∂V = ∂nRT/V ∂V

then im stuck here

- #2

Dick

Science Advisor

Homework Helper

- 26,260

- 619

## 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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