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`.

Options

A. The pressure of the gas changes to `sqrt2P`
B. The temperature of the gas changes to `sqrt2T`.
C. The graph of the above process on the `P-T` diagram is parabola.
D. The graph of the above process on the `P-T` diagram is hyperbola.

Answer

B, D

Explanation

`PV = nRT`
`P prop rhoT " ……….(i)" " " T prop (1)/(sqrt(rho)) " ……"` (ii) `" " T prop (1)/(sqrt(rho)) " …." ` (iii)