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

139303 If average velocity becomes 4 times then what will be the effect on rms velocity at that temperature?

1 1.4 times
2 4 times
3 2 times
4 $\frac{1}{4}$ times
Kinetic Theory of Gases

139307 A perfect gas of ' $N$ ' molecules, each of mass ' $m$ ', moving with velocities ' $C_{1}$ ', ' $C_{2}$ ', ' $\mathrm{C}$ $\mathrm{N}$ ' is enclosed in a cubical vessel of volume ' $\mathrm{V}$ '. The pressure exerted by the gas on the walls of the vessel is (' $\rho$ ' = density of gas)

1 $\frac{1}{3} \frac{\mathrm{mN}}{\mathrm{V}} \mathrm{C}_{\mathrm{RMS}}$
2 $\frac{1}{3} \frac{\mathrm{m}}{\mathrm{V}} \mathrm{C}_{\mathrm{RMS}}^{2}$
3 $\frac{1}{3} \rho \overline{\mathrm{C}}^{2}$
4 $\frac{1}{2} \rho \bar{C}^{2}$
Kinetic Theory of Gases

139309 Consider a gaseous mixture of oxygen and nitrogen kept in a cylinder at room temperature. As compared to nitrogen molecules, the oxygen molecules will hit the wall of the cylinder-

1 with greater average kinetic energy
2 with smaller average kinetic energy
3 with smaller average speed
4 with smaller average sped and smaller average kinetic energy
Kinetic Theory of Gases

139310 When temperature of an ideal gas is increased from $27^{\circ} \mathrm{C}$ to $227^{\circ} \mathrm{C}$. Its rms speed is changed from $400 \mathrm{~m} / \mathrm{s}$ to $v_{\mathrm{s}}$. The $v_{\mathrm{s}}$ is

1 $516 \mathrm{~m} / \mathrm{s}$
2 $45 \mathrm{~m} / \mathrm{s}$
3 $310 \mathrm{~m} / \mathrm{s}$
4 $746 \mathrm{~m} / \mathrm{s}$
Kinetic Theory of Gases

139303 If average velocity becomes 4 times then what will be the effect on rms velocity at that temperature?

1 1.4 times
2 4 times
3 2 times
4 $\frac{1}{4}$ times
Kinetic Theory of Gases

139307 A perfect gas of ' $N$ ' molecules, each of mass ' $m$ ', moving with velocities ' $C_{1}$ ', ' $C_{2}$ ', ' $\mathrm{C}$ $\mathrm{N}$ ' is enclosed in a cubical vessel of volume ' $\mathrm{V}$ '. The pressure exerted by the gas on the walls of the vessel is (' $\rho$ ' = density of gas)

1 $\frac{1}{3} \frac{\mathrm{mN}}{\mathrm{V}} \mathrm{C}_{\mathrm{RMS}}$
2 $\frac{1}{3} \frac{\mathrm{m}}{\mathrm{V}} \mathrm{C}_{\mathrm{RMS}}^{2}$
3 $\frac{1}{3} \rho \overline{\mathrm{C}}^{2}$
4 $\frac{1}{2} \rho \bar{C}^{2}$
Kinetic Theory of Gases

139309 Consider a gaseous mixture of oxygen and nitrogen kept in a cylinder at room temperature. As compared to nitrogen molecules, the oxygen molecules will hit the wall of the cylinder-

1 with greater average kinetic energy
2 with smaller average kinetic energy
3 with smaller average speed
4 with smaller average sped and smaller average kinetic energy
Kinetic Theory of Gases

139310 When temperature of an ideal gas is increased from $27^{\circ} \mathrm{C}$ to $227^{\circ} \mathrm{C}$. Its rms speed is changed from $400 \mathrm{~m} / \mathrm{s}$ to $v_{\mathrm{s}}$. The $v_{\mathrm{s}}$ is

1 $516 \mathrm{~m} / \mathrm{s}$
2 $45 \mathrm{~m} / \mathrm{s}$
3 $310 \mathrm{~m} / \mathrm{s}$
4 $746 \mathrm{~m} / \mathrm{s}$
Kinetic Theory of Gases

139303 If average velocity becomes 4 times then what will be the effect on rms velocity at that temperature?

1 1.4 times
2 4 times
3 2 times
4 $\frac{1}{4}$ times
Kinetic Theory of Gases

139307 A perfect gas of ' $N$ ' molecules, each of mass ' $m$ ', moving with velocities ' $C_{1}$ ', ' $C_{2}$ ', ' $\mathrm{C}$ $\mathrm{N}$ ' is enclosed in a cubical vessel of volume ' $\mathrm{V}$ '. The pressure exerted by the gas on the walls of the vessel is (' $\rho$ ' = density of gas)

1 $\frac{1}{3} \frac{\mathrm{mN}}{\mathrm{V}} \mathrm{C}_{\mathrm{RMS}}$
2 $\frac{1}{3} \frac{\mathrm{m}}{\mathrm{V}} \mathrm{C}_{\mathrm{RMS}}^{2}$
3 $\frac{1}{3} \rho \overline{\mathrm{C}}^{2}$
4 $\frac{1}{2} \rho \bar{C}^{2}$
Kinetic Theory of Gases

139309 Consider a gaseous mixture of oxygen and nitrogen kept in a cylinder at room temperature. As compared to nitrogen molecules, the oxygen molecules will hit the wall of the cylinder-

1 with greater average kinetic energy
2 with smaller average kinetic energy
3 with smaller average speed
4 with smaller average sped and smaller average kinetic energy
Kinetic Theory of Gases

139310 When temperature of an ideal gas is increased from $27^{\circ} \mathrm{C}$ to $227^{\circ} \mathrm{C}$. Its rms speed is changed from $400 \mathrm{~m} / \mathrm{s}$ to $v_{\mathrm{s}}$. The $v_{\mathrm{s}}$ is

1 $516 \mathrm{~m} / \mathrm{s}$
2 $45 \mathrm{~m} / \mathrm{s}$
3 $310 \mathrm{~m} / \mathrm{s}$
4 $746 \mathrm{~m} / \mathrm{s}$
Kinetic Theory of Gases

139303 If average velocity becomes 4 times then what will be the effect on rms velocity at that temperature?

1 1.4 times
2 4 times
3 2 times
4 $\frac{1}{4}$ times
Kinetic Theory of Gases

139307 A perfect gas of ' $N$ ' molecules, each of mass ' $m$ ', moving with velocities ' $C_{1}$ ', ' $C_{2}$ ', ' $\mathrm{C}$ $\mathrm{N}$ ' is enclosed in a cubical vessel of volume ' $\mathrm{V}$ '. The pressure exerted by the gas on the walls of the vessel is (' $\rho$ ' = density of gas)

1 $\frac{1}{3} \frac{\mathrm{mN}}{\mathrm{V}} \mathrm{C}_{\mathrm{RMS}}$
2 $\frac{1}{3} \frac{\mathrm{m}}{\mathrm{V}} \mathrm{C}_{\mathrm{RMS}}^{2}$
3 $\frac{1}{3} \rho \overline{\mathrm{C}}^{2}$
4 $\frac{1}{2} \rho \bar{C}^{2}$
Kinetic Theory of Gases

139309 Consider a gaseous mixture of oxygen and nitrogen kept in a cylinder at room temperature. As compared to nitrogen molecules, the oxygen molecules will hit the wall of the cylinder-

1 with greater average kinetic energy
2 with smaller average kinetic energy
3 with smaller average speed
4 with smaller average sped and smaller average kinetic energy
Kinetic Theory of Gases

139310 When temperature of an ideal gas is increased from $27^{\circ} \mathrm{C}$ to $227^{\circ} \mathrm{C}$. Its rms speed is changed from $400 \mathrm{~m} / \mathrm{s}$ to $v_{\mathrm{s}}$. The $v_{\mathrm{s}}$ is

1 $516 \mathrm{~m} / \mathrm{s}$
2 $45 \mathrm{~m} / \mathrm{s}$
3 $310 \mathrm{~m} / \mathrm{s}$
4 $746 \mathrm{~m} / \mathrm{s}$