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

139141 A vessel contains $14 \mathrm{~g}$ of nitrogen gas at a temperature of $27^{\circ} \mathrm{C}$. The amount of heat to be transferred to the gas to double the r.m.s. speed of its molecules will be:
$\text { (Take } \mathrm{R}=8.32 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1} \text { ) }$

1 $2229 \mathrm{~J}$
2 $5616 \mathrm{~J}$
3 $9360 \mathrm{~J}$
4 $13,104 \mathrm{~J}$
JEE Main-28.07.2022
Kinetic Theory of Gases

139109 The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

1 $4: 1$
2 $1: 2$
3 $1: 4$
4 $1: 1$
Shift-II
Kinetic Theory of Gases

139212 The molecule of a monatomic gas has

1 Only one translational degrees of freedom
2 Only two translational degrees of freedom
3 Only three translational degrees of freedom
4 No translational degrees of freedom at all
J and K-CET-2018
Kinetic Theory of Gases

139219 The average value of rotational kinetic energy of one mole of oxygen gas at temperature $T$ will be

1 RT
2 $\frac{3}{2} \mathrm{RT}$
3 $\frac{5}{2} \mathrm{RT}$
4 $\frac{1}{2} \mathrm{RT}$
UPSEE - 2018
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Kinetic Theory of Gases

139141 A vessel contains $14 \mathrm{~g}$ of nitrogen gas at a temperature of $27^{\circ} \mathrm{C}$. The amount of heat to be transferred to the gas to double the r.m.s. speed of its molecules will be:
$\text { (Take } \mathrm{R}=8.32 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1} \text { ) }$

1 $2229 \mathrm{~J}$
2 $5616 \mathrm{~J}$
3 $9360 \mathrm{~J}$
4 $13,104 \mathrm{~J}$
JEE Main-28.07.2022
Kinetic Theory of Gases

139109 The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

1 $4: 1$
2 $1: 2$
3 $1: 4$
4 $1: 1$
Shift-II
Kinetic Theory of Gases

139212 The molecule of a monatomic gas has

1 Only one translational degrees of freedom
2 Only two translational degrees of freedom
3 Only three translational degrees of freedom
4 No translational degrees of freedom at all
J and K-CET-2018
Kinetic Theory of Gases

139219 The average value of rotational kinetic energy of one mole of oxygen gas at temperature $T$ will be

1 RT
2 $\frac{3}{2} \mathrm{RT}$
3 $\frac{5}{2} \mathrm{RT}$
4 $\frac{1}{2} \mathrm{RT}$
UPSEE - 2018
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Kinetic Theory of Gases

139141 A vessel contains $14 \mathrm{~g}$ of nitrogen gas at a temperature of $27^{\circ} \mathrm{C}$. The amount of heat to be transferred to the gas to double the r.m.s. speed of its molecules will be:
$\text { (Take } \mathrm{R}=8.32 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1} \text { ) }$

1 $2229 \mathrm{~J}$
2 $5616 \mathrm{~J}$
3 $9360 \mathrm{~J}$
4 $13,104 \mathrm{~J}$
JEE Main-28.07.2022
Kinetic Theory of Gases

139109 The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

1 $4: 1$
2 $1: 2$
3 $1: 4$
4 $1: 1$
Shift-II
Kinetic Theory of Gases

139212 The molecule of a monatomic gas has

1 Only one translational degrees of freedom
2 Only two translational degrees of freedom
3 Only three translational degrees of freedom
4 No translational degrees of freedom at all
J and K-CET-2018
Kinetic Theory of Gases

139219 The average value of rotational kinetic energy of one mole of oxygen gas at temperature $T$ will be

1 RT
2 $\frac{3}{2} \mathrm{RT}$
3 $\frac{5}{2} \mathrm{RT}$
4 $\frac{1}{2} \mathrm{RT}$
UPSEE - 2018
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Kinetic Theory of Gases

139141 A vessel contains $14 \mathrm{~g}$ of nitrogen gas at a temperature of $27^{\circ} \mathrm{C}$. The amount of heat to be transferred to the gas to double the r.m.s. speed of its molecules will be:
$\text { (Take } \mathrm{R}=8.32 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1} \text { ) }$

1 $2229 \mathrm{~J}$
2 $5616 \mathrm{~J}$
3 $9360 \mathrm{~J}$
4 $13,104 \mathrm{~J}$
JEE Main-28.07.2022
Kinetic Theory of Gases

139109 The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

1 $4: 1$
2 $1: 2$
3 $1: 4$
4 $1: 1$
Shift-II
Kinetic Theory of Gases

139212 The molecule of a monatomic gas has

1 Only one translational degrees of freedom
2 Only two translational degrees of freedom
3 Only three translational degrees of freedom
4 No translational degrees of freedom at all
J and K-CET-2018
Kinetic Theory of Gases

139219 The average value of rotational kinetic energy of one mole of oxygen gas at temperature $T$ will be

1 RT
2 $\frac{3}{2} \mathrm{RT}$
3 $\frac{5}{2} \mathrm{RT}$
4 $\frac{1}{2} \mathrm{RT}$
UPSEE - 2018