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

139140 Given below are two statements :
Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.
Statement II : The rms speed of oxygen molecules in a gas is $v$. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become $2 \mathrm{v}$.
In the light of the above statements, choose the correct answer from the options given below :

1 Both Statement I and Statement II are true
2 Both Statement I and Statement II are false
3 Statement I is true but Statement II is false
4 Statement I is false but Statement II is true
Kinetic Theory of Gases

139143 What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?

1 The velocity of atomic oxygen remains same
2 The velocity of atomic oxygen doubles
3 The velocity of atomic oxygen becomes half
4 The velocity of atomic oxygen becomes four times
Kinetic Theory of Gases

139144 A flask contains argon and oxygen in the ratio of 3:2 in mass and the mixture is kept at $27^{\circ} \mathrm{C}$. The ratio of their average kinetic energy per molecule respectively will be:

1 $3: 2$
2 $9: 4$
3 $2: 3$
4 $1: 1$
Kinetic Theory of Gases

139145 The relation between root mean square speed $\left(v_{\text {rms }}\right)$ and most probable speed $\left(v_{p}\right)$ for the molar mass $M$ of oxygen gas molecule at the temperature of $300 \mathrm{~K}$ will be :

1 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{2}{3}} \mathrm{v}_{\mathrm{p}}$
2 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3}{2}} \mathrm{v}_{\mathrm{p}}$
3 $\mathrm{v}_{\mathrm{rms}}=\mathrm{v}_{\mathrm{p}}$
4 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{1}{3}} \mathrm{v}_{\mathrm{p}}$
Kinetic Theory of Gases

139140 Given below are two statements :
Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.
Statement II : The rms speed of oxygen molecules in a gas is $v$. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become $2 \mathrm{v}$.
In the light of the above statements, choose the correct answer from the options given below :

1 Both Statement I and Statement II are true
2 Both Statement I and Statement II are false
3 Statement I is true but Statement II is false
4 Statement I is false but Statement II is true
Kinetic Theory of Gases

139143 What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?

1 The velocity of atomic oxygen remains same
2 The velocity of atomic oxygen doubles
3 The velocity of atomic oxygen becomes half
4 The velocity of atomic oxygen becomes four times
Kinetic Theory of Gases

139144 A flask contains argon and oxygen in the ratio of 3:2 in mass and the mixture is kept at $27^{\circ} \mathrm{C}$. The ratio of their average kinetic energy per molecule respectively will be:

1 $3: 2$
2 $9: 4$
3 $2: 3$
4 $1: 1$
Kinetic Theory of Gases

139145 The relation between root mean square speed $\left(v_{\text {rms }}\right)$ and most probable speed $\left(v_{p}\right)$ for the molar mass $M$ of oxygen gas molecule at the temperature of $300 \mathrm{~K}$ will be :

1 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{2}{3}} \mathrm{v}_{\mathrm{p}}$
2 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3}{2}} \mathrm{v}_{\mathrm{p}}$
3 $\mathrm{v}_{\mathrm{rms}}=\mathrm{v}_{\mathrm{p}}$
4 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{1}{3}} \mathrm{v}_{\mathrm{p}}$
Kinetic Theory of Gases

139140 Given below are two statements :
Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.
Statement II : The rms speed of oxygen molecules in a gas is $v$. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become $2 \mathrm{v}$.
In the light of the above statements, choose the correct answer from the options given below :

1 Both Statement I and Statement II are true
2 Both Statement I and Statement II are false
3 Statement I is true but Statement II is false
4 Statement I is false but Statement II is true
Kinetic Theory of Gases

139143 What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?

1 The velocity of atomic oxygen remains same
2 The velocity of atomic oxygen doubles
3 The velocity of atomic oxygen becomes half
4 The velocity of atomic oxygen becomes four times
Kinetic Theory of Gases

139144 A flask contains argon and oxygen in the ratio of 3:2 in mass and the mixture is kept at $27^{\circ} \mathrm{C}$. The ratio of their average kinetic energy per molecule respectively will be:

1 $3: 2$
2 $9: 4$
3 $2: 3$
4 $1: 1$
Kinetic Theory of Gases

139145 The relation between root mean square speed $\left(v_{\text {rms }}\right)$ and most probable speed $\left(v_{p}\right)$ for the molar mass $M$ of oxygen gas molecule at the temperature of $300 \mathrm{~K}$ will be :

1 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{2}{3}} \mathrm{v}_{\mathrm{p}}$
2 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3}{2}} \mathrm{v}_{\mathrm{p}}$
3 $\mathrm{v}_{\mathrm{rms}}=\mathrm{v}_{\mathrm{p}}$
4 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{1}{3}} \mathrm{v}_{\mathrm{p}}$
Kinetic Theory of Gases

139140 Given below are two statements :
Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.
Statement II : The rms speed of oxygen molecules in a gas is $v$. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become $2 \mathrm{v}$.
In the light of the above statements, choose the correct answer from the options given below :

1 Both Statement I and Statement II are true
2 Both Statement I and Statement II are false
3 Statement I is true but Statement II is false
4 Statement I is false but Statement II is true
Kinetic Theory of Gases

139143 What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?

1 The velocity of atomic oxygen remains same
2 The velocity of atomic oxygen doubles
3 The velocity of atomic oxygen becomes half
4 The velocity of atomic oxygen becomes four times
Kinetic Theory of Gases

139144 A flask contains argon and oxygen in the ratio of 3:2 in mass and the mixture is kept at $27^{\circ} \mathrm{C}$. The ratio of their average kinetic energy per molecule respectively will be:

1 $3: 2$
2 $9: 4$
3 $2: 3$
4 $1: 1$
Kinetic Theory of Gases

139145 The relation between root mean square speed $\left(v_{\text {rms }}\right)$ and most probable speed $\left(v_{p}\right)$ for the molar mass $M$ of oxygen gas molecule at the temperature of $300 \mathrm{~K}$ will be :

1 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{2}{3}} \mathrm{v}_{\mathrm{p}}$
2 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3}{2}} \mathrm{v}_{\mathrm{p}}$
3 $\mathrm{v}_{\mathrm{rms}}=\mathrm{v}_{\mathrm{p}}$
4 $\mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{1}{3}} \mathrm{v}_{\mathrm{p}}$