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Question

A certain amount of gas of volume $\mathrm{V}$ at $27^{\circ} \mathrm{C}$ temperature and pressure $2 \times 10^{7} \mathrm{Nm}^{-2}$ expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets redoubled. The final pressure of the gas will be (Use $\gamma=1.5)$ :

$3.536 \times 10^{5} \mathrm{~Pa}$
$3.536 \times 10^{6} \mathrm{~Pa}$
$1.25 \times 10^{6} \mathrm{~Pa}$
$1.25 \times 10^{5} \mathrm{~Pa}$

Solution

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