Chemistry - Ideal Gas Question with Solution | TestHub

* From the equation $P=\frac{1}{3}\frac{mN}{V}\overline{c^2}$, pressure ($P$) is directly proportional to the mean square velocity ($\overline{c^2}$) at constant volume and mass, making (A) correct.

* Since pressure is proportional to the square of the rms velocity ($u_{rms}^2$), option (B) is incorrect.

* The root-mean-square velocity formula is $u_{rms}=\sqrt{\frac{3RT}{M}}$, meaning it is directly proportional to $\sqrt{T}$ instead of being inversely proportional, making (C) incorrect.

* The average translational kinetic energy of a molecule is $K.E.=\frac{3}{2}kT$, which is directly proportional to the absolute temperature ($T$), making (D) correct.