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The ratio of ...

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The ratio of slopes of $P - V$ plots for reversible adiabatic process and reversible isothermal process of an ideal gas is equal to :

A

1 / γ

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B

1 - γ

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C

(γ - 1)

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D

γ

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Solution

The correct option is D $γ$
$P V = n R T$
isothermal = $P V = K_{1}$
adiabatic = $P V^{γ} = K_{2}$
$l o g P = γ l o g V = l o g K_{2}$
$r a t i o = γ$

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