Degree of Freedom, Various speeds of Gas Molecules
Kinetic Theory of Gases

139216 An insulated box containing a diatomic gas of molar mass $M$ is moving with a velocity $v$. The box is suddenly stopped. The resulting change in temperature is (where, $R$ is the gas constant)

1 $\frac{M v^{2}}{2 \mathrm{R}}$
2 $\frac{M v^{2}}{3 R}$
3 $\frac{\mathrm{Mv}^{2}}{5 \mathrm{R}}$
4 $\frac{2 \mathrm{Mv}^{2}}{5 \mathrm{R}}$
Kinetic Theory of Gases

139217 The rms speed of oxygen molecule at a certain temperature is $600 \mathrm{~ms}^{-1}$. If the temperature is doubled and oxygen molecule dissociates into atomic oxygen atoms, the new rms speed is

1 $120 \mathrm{~ms}^{-1}$
2 $150 \mathrm{~ms}^{-1}$
3 $1200 \mathrm{~ms}^{-1}$
4 $600 \mathrm{~ms}^{-1}$
[
Kinetic Theory of Gases

139218 A thermally insulated vessel with nitrogen gas at $27^{\circ} \mathrm{C}$ is moving with a velocity of $100 \mathrm{~ms}^{-1}$. If the vessel is stopped suddenly, then the percentage change in the pressure of the gas is nearly
(Assume entire loss in $\mathrm{KE}$ of the gas is given as heat to gas and $R=8.3 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}$ )

1 1.1
2 0.93
3 0.5
4 2.25
Kinetic Theory of Gases

139221 $\quad V_{1}$ is the speed of sound in a diatomic gas at $273{ }^{\circ} \mathrm{C}$ and $V_{2}$ is the r.m.s. speed of its molecules at $273 \mathrm{~K}$, then $\frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}$

1 $\sqrt{\frac{15}{14}}$
2 $\sqrt{\frac{14}{15}}$
3 $\sqrt{\frac{7}{8}}$
4 $\sqrt{\frac{8}{7}}$
[
Kinetic Theory of Gases

139222 The absolute temperature of a gas is increased to 16 times of the original temperature. The rms speed of its molecules will become

1 4 times
2 16 times
3 64 times
4 256 times
Kinetic Theory of Gases

139216 An insulated box containing a diatomic gas of molar mass $M$ is moving with a velocity $v$. The box is suddenly stopped. The resulting change in temperature is (where, $R$ is the gas constant)

1 $\frac{M v^{2}}{2 \mathrm{R}}$
2 $\frac{M v^{2}}{3 R}$
3 $\frac{\mathrm{Mv}^{2}}{5 \mathrm{R}}$
4 $\frac{2 \mathrm{Mv}^{2}}{5 \mathrm{R}}$
Kinetic Theory of Gases

139217 The rms speed of oxygen molecule at a certain temperature is $600 \mathrm{~ms}^{-1}$. If the temperature is doubled and oxygen molecule dissociates into atomic oxygen atoms, the new rms speed is

1 $120 \mathrm{~ms}^{-1}$
2 $150 \mathrm{~ms}^{-1}$
3 $1200 \mathrm{~ms}^{-1}$
4 $600 \mathrm{~ms}^{-1}$
[
Kinetic Theory of Gases

139218 A thermally insulated vessel with nitrogen gas at $27^{\circ} \mathrm{C}$ is moving with a velocity of $100 \mathrm{~ms}^{-1}$. If the vessel is stopped suddenly, then the percentage change in the pressure of the gas is nearly
(Assume entire loss in $\mathrm{KE}$ of the gas is given as heat to gas and $R=8.3 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}$ )

1 1.1
2 0.93
3 0.5
4 2.25
Kinetic Theory of Gases

139221 $\quad V_{1}$ is the speed of sound in a diatomic gas at $273{ }^{\circ} \mathrm{C}$ and $V_{2}$ is the r.m.s. speed of its molecules at $273 \mathrm{~K}$, then $\frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}$

1 $\sqrt{\frac{15}{14}}$
2 $\sqrt{\frac{14}{15}}$
3 $\sqrt{\frac{7}{8}}$
4 $\sqrt{\frac{8}{7}}$
[
Kinetic Theory of Gases

139222 The absolute temperature of a gas is increased to 16 times of the original temperature. The rms speed of its molecules will become

1 4 times
2 16 times
3 64 times
4 256 times
Kinetic Theory of Gases

139216 An insulated box containing a diatomic gas of molar mass $M$ is moving with a velocity $v$. The box is suddenly stopped. The resulting change in temperature is (where, $R$ is the gas constant)

1 $\frac{M v^{2}}{2 \mathrm{R}}$
2 $\frac{M v^{2}}{3 R}$
3 $\frac{\mathrm{Mv}^{2}}{5 \mathrm{R}}$
4 $\frac{2 \mathrm{Mv}^{2}}{5 \mathrm{R}}$
Kinetic Theory of Gases

139217 The rms speed of oxygen molecule at a certain temperature is $600 \mathrm{~ms}^{-1}$. If the temperature is doubled and oxygen molecule dissociates into atomic oxygen atoms, the new rms speed is

1 $120 \mathrm{~ms}^{-1}$
2 $150 \mathrm{~ms}^{-1}$
3 $1200 \mathrm{~ms}^{-1}$
4 $600 \mathrm{~ms}^{-1}$
[
Kinetic Theory of Gases

139218 A thermally insulated vessel with nitrogen gas at $27^{\circ} \mathrm{C}$ is moving with a velocity of $100 \mathrm{~ms}^{-1}$. If the vessel is stopped suddenly, then the percentage change in the pressure of the gas is nearly
(Assume entire loss in $\mathrm{KE}$ of the gas is given as heat to gas and $R=8.3 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}$ )

1 1.1
2 0.93
3 0.5
4 2.25
Kinetic Theory of Gases

139221 $\quad V_{1}$ is the speed of sound in a diatomic gas at $273{ }^{\circ} \mathrm{C}$ and $V_{2}$ is the r.m.s. speed of its molecules at $273 \mathrm{~K}$, then $\frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}$

1 $\sqrt{\frac{15}{14}}$
2 $\sqrt{\frac{14}{15}}$
3 $\sqrt{\frac{7}{8}}$
4 $\sqrt{\frac{8}{7}}$
[
Kinetic Theory of Gases

139222 The absolute temperature of a gas is increased to 16 times of the original temperature. The rms speed of its molecules will become

1 4 times
2 16 times
3 64 times
4 256 times
Kinetic Theory of Gases

139216 An insulated box containing a diatomic gas of molar mass $M$ is moving with a velocity $v$. The box is suddenly stopped. The resulting change in temperature is (where, $R$ is the gas constant)

1 $\frac{M v^{2}}{2 \mathrm{R}}$
2 $\frac{M v^{2}}{3 R}$
3 $\frac{\mathrm{Mv}^{2}}{5 \mathrm{R}}$
4 $\frac{2 \mathrm{Mv}^{2}}{5 \mathrm{R}}$
Kinetic Theory of Gases

139217 The rms speed of oxygen molecule at a certain temperature is $600 \mathrm{~ms}^{-1}$. If the temperature is doubled and oxygen molecule dissociates into atomic oxygen atoms, the new rms speed is

1 $120 \mathrm{~ms}^{-1}$
2 $150 \mathrm{~ms}^{-1}$
3 $1200 \mathrm{~ms}^{-1}$
4 $600 \mathrm{~ms}^{-1}$
[
Kinetic Theory of Gases

139218 A thermally insulated vessel with nitrogen gas at $27^{\circ} \mathrm{C}$ is moving with a velocity of $100 \mathrm{~ms}^{-1}$. If the vessel is stopped suddenly, then the percentage change in the pressure of the gas is nearly
(Assume entire loss in $\mathrm{KE}$ of the gas is given as heat to gas and $R=8.3 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}$ )

1 1.1
2 0.93
3 0.5
4 2.25
Kinetic Theory of Gases

139221 $\quad V_{1}$ is the speed of sound in a diatomic gas at $273{ }^{\circ} \mathrm{C}$ and $V_{2}$ is the r.m.s. speed of its molecules at $273 \mathrm{~K}$, then $\frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}$

1 $\sqrt{\frac{15}{14}}$
2 $\sqrt{\frac{14}{15}}$
3 $\sqrt{\frac{7}{8}}$
4 $\sqrt{\frac{8}{7}}$
[
Kinetic Theory of Gases

139222 The absolute temperature of a gas is increased to 16 times of the original temperature. The rms speed of its molecules will become

1 4 times
2 16 times
3 64 times
4 256 times
Kinetic Theory of Gases

139216 An insulated box containing a diatomic gas of molar mass $M$ is moving with a velocity $v$. The box is suddenly stopped. The resulting change in temperature is (where, $R$ is the gas constant)

1 $\frac{M v^{2}}{2 \mathrm{R}}$
2 $\frac{M v^{2}}{3 R}$
3 $\frac{\mathrm{Mv}^{2}}{5 \mathrm{R}}$
4 $\frac{2 \mathrm{Mv}^{2}}{5 \mathrm{R}}$
Kinetic Theory of Gases

139217 The rms speed of oxygen molecule at a certain temperature is $600 \mathrm{~ms}^{-1}$. If the temperature is doubled and oxygen molecule dissociates into atomic oxygen atoms, the new rms speed is

1 $120 \mathrm{~ms}^{-1}$
2 $150 \mathrm{~ms}^{-1}$
3 $1200 \mathrm{~ms}^{-1}$
4 $600 \mathrm{~ms}^{-1}$
[
Kinetic Theory of Gases

139218 A thermally insulated vessel with nitrogen gas at $27^{\circ} \mathrm{C}$ is moving with a velocity of $100 \mathrm{~ms}^{-1}$. If the vessel is stopped suddenly, then the percentage change in the pressure of the gas is nearly
(Assume entire loss in $\mathrm{KE}$ of the gas is given as heat to gas and $R=8.3 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}$ )

1 1.1
2 0.93
3 0.5
4 2.25
Kinetic Theory of Gases

139221 $\quad V_{1}$ is the speed of sound in a diatomic gas at $273{ }^{\circ} \mathrm{C}$ and $V_{2}$ is the r.m.s. speed of its molecules at $273 \mathrm{~K}$, then $\frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}$

1 $\sqrt{\frac{15}{14}}$
2 $\sqrt{\frac{14}{15}}$
3 $\sqrt{\frac{7}{8}}$
4 $\sqrt{\frac{8}{7}}$
[
Kinetic Theory of Gases

139222 The absolute temperature of a gas is increased to 16 times of the original temperature. The rms speed of its molecules will become

1 4 times
2 16 times
3 64 times
4 256 times