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Expansion of Gases

A gas follows...

Question

A gas follows $V T^{2} =$ const. Its volume expansion coefficient will be :-

A

\frac{2}{T}

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B

- \frac{2}{T}

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C

\frac{3}{T}

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D

- \frac{3}{T}

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Solution

The correct option is C $\frac{3}{T}$
$\begin{matrix} γ = \frac{1}{V} (\frac{d V}{d T}) P T^{2} = c o n s tan t \frac{n R T}{V} T^{2} = c o n s tan t ∴ γ = \frac{3}{T} H e n c e, C t h e c o r r e c t o p t i o n . \end{matrix}$

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