On any planet, the presence of atmosphere implies (${C_{rms}}$= root mean square velocity of molecules and ${V_e}$= escape velocity)
A${C_{rms}} < < {V_e}$
B${C_{rms}} > {V_e}$
C${C_{rms}} = {V_e}$
D${C_{rms}} = 0$
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A${C_{rms}} < < {V_e}$
a Presence of atmosphere on any planet implies that $V_{r m s} <<<< V_{e}$ (if $V_{r m s}$ is equal or greater than escape velocity, then all the gases will disappear from gravitational field of planet and no atmosphere will be present).
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The temperature of an open room of volume $30\ m^3$ increases from $17^o C$ to $27vC$ due to sunshine. The atmospheric pressure in the room remains $1 \times 10^5\ Pa$. Ifni and nr are the number of molecules in the room before and after heating, then $n_f-n_i$ will be :
Assertion $(A):$ The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and volume.
Reason $(R):$ The molecules of gas collide with each other and the velocities of the molecules change due to the collision.
For a gas at a temperature $T$ the root-mean-square velocity ${v_{rms}},$ the most probable speed ${v_{mp}},$ and the average speed ${v_{av}}$ obey the relationship
The following sets of values for ${C_V}$ and ${C_P}$ of a gas has been reported by different students. The units are $cal/gm-mole-K.$ Which of these sets is most reliable