Kinetic theory of gases practice · Mixed difficulty

The absolute zero is the temperature at which

Assertion: Specific heat of a gas at constant pressure $C_P$ is greater than its specific heat at constant volume $C_V$.
Reason: At constant pressure, some heat is spent in expansion of the gas.

Calculate the total number of degrees of freedom possessed by the molecules in $1 \mathrm{~cm}^3$ of $\mathrm{H}_2$ gas at N.T.P.

The velocities of ten particles (in $\mathrm{ms}^{-1}$) are $0,2,3,4,4,4,5,5,6,9$. The most probable speed is

The kinetic energy per $g\;mol$ for a diatomic gas at room temperature is

Assertion: Maxwell speed distribution graph is symmetric about most probable speed.
Reason: rms speed of ideal gas, depends upon its type (monoatomic, diatomic and polyatomic).

A vessel contains two non-reactive gases neon (monatomic) and oxygen (diatomic). The ratio of their partial pressures is $1: 2$. The ratio of number of molecules is:

The degrees of freedom of a triatomic gas is

Which one of the following is a wrong statement in kinetic theory of gases?

Which of the following is correct for the molecules of an ideal gas at a given temperature?

At NTP, sample of equal volume of chlorine and oxygen is taken. Now ratio of no. of molecules is

The number of degrees of freedom for each atom of a monoatomic gas is

A gas enclosed in a closed pot is kept in a train moving with high speed, the temperature of the gas

Assertion: Molecules of monoatomic gas has three degrees of freedom.

Reason: Molecules of diatomic gas has five degrees of freedom.

The temperature of an ideal gas is increased from $37^{\circ} \mathrm{C}$ to $137^{\circ} \mathrm{C}$, then percentage increase in $v_\text{rms }$ is:

What is the value of $\frac{R}{{{C_P}}}$ for diatomic gas

Three moles of nitrogen is mixed with six moles of helium. The effective molar specific heat of the mixture at constant volume is

The absolute temperature of a gas is determined by

The ratio of specific heats of an ideal gas is

The kinetic energy of one g-mole of a gas at normal temperature and pressure is ($R = 8.31\;J/mol - K$)

What is the ratio of rms speed of oxygen and hydrogen molecules at the same temperature?

At constant pressure, which of the following is true?

The ratio of velocity of sound in hydrogen gas to that in helium gas at the same temperature -

The speeds of 5 molecules of a gas (in arbitrary units) are as follows: $2,3,4,5,6.$ The root mean square speed for these molecules is

Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chlorine (diatomic) and third contains uranium hexafluoride (polyatomic). Arrange these on the basis of their root mean square speed $\left(v_{\mathrm{ms}}\right)$ and choose the correct answer from the options given below:

Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is $1: 4$, then
A. The r.m.s. velocity of gas molecules in two vessels will be the same.
B. The ratio of pressure in these vessels will be $1 : 4$.
C. The ratio of pressure will be $1 : 1$.
D. The r.m.s. velocity of gas molecules in two vessels will be in the ratio of $1 : 4$.
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:

A vessel contains $1.60 \mathrm{~g}$ of oxygen and $2.80 \mathrm{~g}$ of nitrogen. The temperature is maintained at $300 \mathrm{~K}$ and the volume of the vessel is $0.166 \mathrm{~m}^3$. Find the pressure of the mixture.

Assume that the temperature remains essentially constant in the upper part of the atmosphere. Obtain an expression for the variation in pressure in the upper atmosphere with height. The mean molecular weight of air is $M$.

At room temperature (27$^ \circ C)\;$ the rms speed of the molecules of a certain diatomic gas is found to be 1920 m${s^{ - 1}}$. The gas is