Kinetic theory of gases practice · Mixed difficulty

Given below are two statements :
Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.
Statement II : The rms speed of oxygen molecules in a gas is v. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become $2v.$
In the light of the above statements, choose the correct answer from the options given below:

If the Avogadro’s number was to tend to infinity; the phenomenon of Brownian motion would:

The ratio of the molar heat capacities of a diatomic gas at constant pressure to that at constant volume is

The minimum attainable pressure of ideal gas in the process $T=T_0+\alpha V^2$, where $T_0$ and $\alpha$ are positive constants and $V$ is the volume of one mole of gas is $x R \sqrt{\alpha T_0}$. Find the value of $x$.

At a given temperature the $r.m.s.$ velocity of molecules of the gas is

Which among the following is not a greenhouse gas?

The average velocity of molecules of a gas of molecular weight $M$ at temperature $T$ is

The temperature of gas is produced by

Mean kinetic energy per degree of freedom of gas molecules is

Equal volume of monoatomic and diatomic gases at the same temperature are given equal quantities of heat. Then:

Two vessels $A$ and $B$ are of the same size and are at same temperature. $A$ contains $1 \mathrm{~g}$ of hydrogen and $B$ contains $1 \mathrm{~g}$ of oxygen. $P_A$ and $P_B$ are the pressure of the gases in $A$ and $B$ respectively, then $\frac{P_A}{P_B}$ is :

A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen in the sample, is :

The root mean square speed of hydrogen molecules at a certain temperature is $300 \mathrm{~m} / \mathrm{s}$. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, the r.m.s. speed will become

The molecules of an ideal gas at a certain temperature have

The phenomenon of Brownian movement may be taken as evidence of

In a container, $1 \mathrm{~g}$ of hydrogen and $1 \mathrm{~g}$ of oxygen are taken. Find the ratio of hydrogen pressure to oxygen pressure.

Total rotational kinetic energy of two moles of rigid diatomic gas is

An ideal monoatomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied heat energy used for the increase of the internal energy of the gas is

In the process $P V=$ constant, pressure $(P)$ versus density $(\rho)$, graphs of an ideal gas is

The temperature of the gas is a measure of

The relation between rms velocity, $v_{\text {rms}}$ and the most probable velocity, $v_{{mp}}$ of a gas is

The temperature of a gas is $-78^{\circ} \mathrm{C}$ and the average translational kinetic energy of its molecules is K. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes $2 \mathrm{~K}$ is :

The translatory kinetic energy of gas per is

The time average of the kinetic energy of one molecule of a gas taken over a long period of time

An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true?
A. The mean free path of the molecules decreases.
B. The mean collision time between the molecules decreases.
C. The mean free path remains unchanged.
D. The mean collision time remains unchanged.