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During an experiment, an ideal gas is fo...

During an experiment, an ideal gas is found to obey a condition `(p^2)/(rho) = "constant"`. (`rho` = density of the gas). The gas is initially at temperature (T), pressure (p) and density `rho`. The gas expands such that density changes to `rho//2`.

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The correct Answer is:
B, D

`(p^(2))/(rho)=kimplies(P^(2)RT)/(PM)=k`
`PT=((kM)/(R))implies P prop (1)/(T)`
`(p^(2))/( rho)=(P'^(2))/(rho//2)implies P' =(P)/(sqrt(2))`
Hence, from Eq. `(i) T^(') = T sqrt(2)`
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