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One mole of an ideal gas expands with temperature according to the relation $V = k T^{2 / 3}$ .The work done when the temperature changes by $30^{0} C$

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10 R

20 R

30 R

40 R

answer is B.

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Detailed Solution

$P V = R T, V = k T^{2 / 3} \Rightarrow P V^{- 1 / 2} = C O S T A N T$

$h e r e X = - 1 / 2, W = \frac{n R Δ T}{1 - X}$

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