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Q.

For isothermal change, $\frac{Δ P}{P}$ is equal to

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a

$- γ \frac{Δ V}{V}$

b

$- γ^{2} \frac{Δ V}{V}$

c

$\frac{1}{2} γ \frac{Δ V}{V}$

d

$- \frac{Δ V}{V}$

answer is B.

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Detailed Solution

$\begin{array}{l} P V = constant \\ \Rightarrow P Δ V + V Δ P = 0 \\ \Rightarrow \frac{Δ P}{P} = - \frac{Δ V}{V} \end{array}$

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For isothermal change, ΔPP is equal to