An ideal gas expands in such a way that PV^2 = constant throughout process

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11.Thermodynamics

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An ideal gas expands in such a way that $PV^2 =$ constant throughout the process

A

In the process, $T-V$ diagram is a parabola

B

In the process, $T-V$ diagram is a straight line

C

Such an expansion is possible only with heating

D

Such an expansion is possible only with cooling

Solution

$\mathrm{PV}^{2}=$ constant

$\frac{\mathrm{nRT}}{\mathrm{V}} \times \mathrm{V}^{2}=\mathrm{constant}$

$\Rightarrow \mathrm{TV}=\mathrm{constant}$

$\mathrm{T} \propto \frac{1}{\mathrm{V}}$

Standard 11

Physics

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