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During an experiment an ideal gas is found to obey a condition $\frac{P^{2}}{ρ}$ = constant ( $ρ$ = density of gas). The gas is initially at temperature $T_{0}$ , pressure $P_{0}$ and density $ρ_{0}$ . The gas expands such that density changes to $\frac{ρ_{0}}{2}$ . Then which of the following is/are correct:

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

The pressure of the gas changes to $\sqrt{2} P_{0}$

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

The temperature of the gas changes to $\sqrt{2} T_{0}$

answer is B, D.

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