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Question

What is the slope for an isothermal process?
$\frac{P}{V}$
$- \frac{P}{V}$
Zero
$\infty$

A

\frac{P}{V}

B

\infty

C

- \frac{P}{V}

D

Zero

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Solution

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For an isothermal process, $P V = c o n s t$
$\Rightarrow P d V + V d P = 0$
$\Rightarrow \frac{d P}{d V} = \frac{- P}{V}$

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