First slide

Thermodynamic processes

Question

For an isothermal expansion of a perfect gas, the value of $\frac{ΔP}{P}$ is equal

Moderate

A

$- γ^{1 / 2} \frac{ΔV}{V}$
B

$- \frac{ΔV}{V}$
C

$- γ \frac{ΔV}{V}$
D

$- γ^{2} \frac{ΔV}{V}$

Solution

Differentiate PV=constant w.r.t V
$\Rightarrow PΔV + VΔP = 0 \Rightarrow \frac{ΔP}{P} = - \frac{ΔV}{V}$

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