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A gas is governed by an equation $\mathrm{V}=\frac{\mathrm{aT}^3}{\mathrm{P}}$ where $\mathrm{P}, \mathrm{V}$ and $\mathrm{T}$ are pressure, volume and temperature of the gas respectively and ' $a$ ' is a constant. If the temperature of the gas is doubled at constant pressure then the workdone by the gas is
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The correct answer is:
$7 \mathrm{aT}^3$
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