First slide

Different type of processes

Question

Which of the following graphs correctly represents the variation of $β = - \frac{(\frac{dV}{dP})}{V}$ with P for an ideal gas at constant temperature?

Moderate

A
B
C
D

Solution

For an isothermal process PV = constant
$\Rightarrow PdV + VdP = 0 \Rightarrow - \frac{1}{V} (\frac{dV}{dP}) = \frac{1}{P}$
So, $β = \frac{1}{P} ∴ Graph will be rectangular hyperbola$

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