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During an experiment, an ideal gas is found to obey a condition $\frac{P^{2}}{ρ}$ = constant [ $ρ$ = density of the gas]. The gas is initially at temperature T, pressure P and density $ρ$ . The gas expands such that density changes to $\frac{ρ}{2}$

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The graph of the above process on the P–T diagram is hyperbola.

The graph of the above process on the P–T diagram is parabola.

The pressure of the gas changes to $\sqrt{2} P$

The temperature of the gas changes to $\sqrt{2} T$

answer is B, D.

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Detailed Solution

$\frac{p^{2}}{ρ} = c \Rightarrow v T^{2} = C \Rightarrow p T =$
$∴ T_{f} = \sqrt{2} T$
$∴$ graph is hyperbola

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