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

139118 The temperature, at which the rms velocity of hydrogen is four times of its value at NTP is

1 $819^{\circ} \mathrm{C}$
2 $1092^{\circ} \mathrm{C}$
3 $4368^{\circ} \mathrm{C}$
4 $4095^{\circ} \mathrm{C}$
Kinetic Theory of Gases

139119 The mean kinetic energy of monoatomic gas molecules under standard conditions is $\left\langle E_{1}\right\rangle$. If the gas is compressed adiabatically 8 times to its initial volume, the mean kinetic energy of gas molecules changes to $\left\langle E_{2}\right\rangle$. The ratio $\frac{\left\langle E_{2}\right\rangle}{\left\langle E_{1}\right\rangle}$ is

1 2
2 4
3 6
4 8
Kinetic Theory of Gases

139120 The temperature at which the r.m.s speed of molecules in hydrogen gas will be double of its initial value at $27^{\circ} \mathrm{C}$ is

1 $300^{\circ} \mathrm{C}$
2 $1473^{\circ} \mathrm{C}$
3 $927^{\circ} \mathrm{C}$
4 $546^{\circ} \mathrm{C}$
Kinetic Theory of Gases

139121 The r.m.s. velocity of hydrogen molecules at temperature $T$ is seven times the r.m.s. velocity of nitrogen molecules at $300 \mathrm{~K}$. This temperature $T$ is (Molecular weights of hydrogen and nitrogen are 2 and 28 respectively)

1 $1350 \mathrm{~K}$
2 $1700 \mathrm{~K}$
3 $1050 \mathrm{~K}$
4 $2100 \mathrm{~K}$
Kinetic Theory of Gases

139118 The temperature, at which the rms velocity of hydrogen is four times of its value at NTP is

1 $819^{\circ} \mathrm{C}$
2 $1092^{\circ} \mathrm{C}$
3 $4368^{\circ} \mathrm{C}$
4 $4095^{\circ} \mathrm{C}$
Kinetic Theory of Gases

139119 The mean kinetic energy of monoatomic gas molecules under standard conditions is $\left\langle E_{1}\right\rangle$. If the gas is compressed adiabatically 8 times to its initial volume, the mean kinetic energy of gas molecules changes to $\left\langle E_{2}\right\rangle$. The ratio $\frac{\left\langle E_{2}\right\rangle}{\left\langle E_{1}\right\rangle}$ is

1 2
2 4
3 6
4 8
Kinetic Theory of Gases

139120 The temperature at which the r.m.s speed of molecules in hydrogen gas will be double of its initial value at $27^{\circ} \mathrm{C}$ is

1 $300^{\circ} \mathrm{C}$
2 $1473^{\circ} \mathrm{C}$
3 $927^{\circ} \mathrm{C}$
4 $546^{\circ} \mathrm{C}$
Kinetic Theory of Gases

139121 The r.m.s. velocity of hydrogen molecules at temperature $T$ is seven times the r.m.s. velocity of nitrogen molecules at $300 \mathrm{~K}$. This temperature $T$ is (Molecular weights of hydrogen and nitrogen are 2 and 28 respectively)

1 $1350 \mathrm{~K}$
2 $1700 \mathrm{~K}$
3 $1050 \mathrm{~K}$
4 $2100 \mathrm{~K}$
Kinetic Theory of Gases

139118 The temperature, at which the rms velocity of hydrogen is four times of its value at NTP is

1 $819^{\circ} \mathrm{C}$
2 $1092^{\circ} \mathrm{C}$
3 $4368^{\circ} \mathrm{C}$
4 $4095^{\circ} \mathrm{C}$
Kinetic Theory of Gases

139119 The mean kinetic energy of monoatomic gas molecules under standard conditions is $\left\langle E_{1}\right\rangle$. If the gas is compressed adiabatically 8 times to its initial volume, the mean kinetic energy of gas molecules changes to $\left\langle E_{2}\right\rangle$. The ratio $\frac{\left\langle E_{2}\right\rangle}{\left\langle E_{1}\right\rangle}$ is

1 2
2 4
3 6
4 8
Kinetic Theory of Gases

139120 The temperature at which the r.m.s speed of molecules in hydrogen gas will be double of its initial value at $27^{\circ} \mathrm{C}$ is

1 $300^{\circ} \mathrm{C}$
2 $1473^{\circ} \mathrm{C}$
3 $927^{\circ} \mathrm{C}$
4 $546^{\circ} \mathrm{C}$
Kinetic Theory of Gases

139121 The r.m.s. velocity of hydrogen molecules at temperature $T$ is seven times the r.m.s. velocity of nitrogen molecules at $300 \mathrm{~K}$. This temperature $T$ is (Molecular weights of hydrogen and nitrogen are 2 and 28 respectively)

1 $1350 \mathrm{~K}$
2 $1700 \mathrm{~K}$
3 $1050 \mathrm{~K}$
4 $2100 \mathrm{~K}$
Kinetic Theory of Gases

139118 The temperature, at which the rms velocity of hydrogen is four times of its value at NTP is

1 $819^{\circ} \mathrm{C}$
2 $1092^{\circ} \mathrm{C}$
3 $4368^{\circ} \mathrm{C}$
4 $4095^{\circ} \mathrm{C}$
Kinetic Theory of Gases

139119 The mean kinetic energy of monoatomic gas molecules under standard conditions is $\left\langle E_{1}\right\rangle$. If the gas is compressed adiabatically 8 times to its initial volume, the mean kinetic energy of gas molecules changes to $\left\langle E_{2}\right\rangle$. The ratio $\frac{\left\langle E_{2}\right\rangle}{\left\langle E_{1}\right\rangle}$ is

1 2
2 4
3 6
4 8
Kinetic Theory of Gases

139120 The temperature at which the r.m.s speed of molecules in hydrogen gas will be double of its initial value at $27^{\circ} \mathrm{C}$ is

1 $300^{\circ} \mathrm{C}$
2 $1473^{\circ} \mathrm{C}$
3 $927^{\circ} \mathrm{C}$
4 $546^{\circ} \mathrm{C}$
Kinetic Theory of Gases

139121 The r.m.s. velocity of hydrogen molecules at temperature $T$ is seven times the r.m.s. velocity of nitrogen molecules at $300 \mathrm{~K}$. This temperature $T$ is (Molecular weights of hydrogen and nitrogen are 2 and 28 respectively)

1 $1350 \mathrm{~K}$
2 $1700 \mathrm{~K}$
3 $1050 \mathrm{~K}$
4 $2100 \mathrm{~K}$