Kinetic Theory of an Ideal Gas
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PHXI13:KINETIC THEORY

360221 Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion the average time of collision between molecules increases as \(V^{q}\), where \(V\) is the volume of the gas. The value of \(q\) is : \(\left( {\gamma = \frac{{{C_p}}}{{{C_v}}}} \right)\)

1 \(\dfrac{3 \gamma-5}{6}\)
2 \(\dfrac{\gamma+1}{2}\)
3 \(\dfrac{\gamma-1}{2}\)
4 \(\dfrac{3 \gamma+5}{6}\)
PHXI13:KINETIC THEORY

360222 A cube vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of \(500\,\,m{s^{ - 1}}\) in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground

1 Remains the same because \(500\,\,m{s^{ - 1}}\) is very much smaller than \(v_{r m s}\) of the gas
2 Remains the same because motion of the vessel at a whole does not effect the relative motion of the gas molecules and the walls.
3 Will increases by a factor equal to \(v_{r m s}^{2}+(500)^{2} . / v_{r m s}^{2}\) where \(v_{r m s}\) was the original mean square velocity of the gas.
4 Will be different on the top wall and bottom wall of the vessel.
NCERT Exemplar
PHXI13:KINETIC THEORY

360223 Energy of all molecules of a monoatomic gas having a volume \(V\) and pressure \(P\) is \(\dfrac{3}{2} P V\). The total translational kinetic energy of all molecules of a diatomic gas as the same volume and pressure is

1 \(\dfrac{1}{2} P V\)
2 \(\dfrac{3}{2} P V\)
3 \(\dfrac{5}{2} P V\)
4 \(3 P V\)
PHXI13:KINETIC THEORY

360224 Assertion :
When speed of sound in a gas is \(c\), then \(c_{\text {rms }}=\sqrt{\dfrac{3}{\gamma}} \times c\)
Reason :
\(c=\sqrt{\dfrac{\gamma p}{\rho}}\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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PHXI13:KINETIC THEORY

360221 Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion the average time of collision between molecules increases as \(V^{q}\), where \(V\) is the volume of the gas. The value of \(q\) is : \(\left( {\gamma = \frac{{{C_p}}}{{{C_v}}}} \right)\)

1 \(\dfrac{3 \gamma-5}{6}\)
2 \(\dfrac{\gamma+1}{2}\)
3 \(\dfrac{\gamma-1}{2}\)
4 \(\dfrac{3 \gamma+5}{6}\)
PHXI13:KINETIC THEORY

360222 A cube vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of \(500\,\,m{s^{ - 1}}\) in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground

1 Remains the same because \(500\,\,m{s^{ - 1}}\) is very much smaller than \(v_{r m s}\) of the gas
2 Remains the same because motion of the vessel at a whole does not effect the relative motion of the gas molecules and the walls.
3 Will increases by a factor equal to \(v_{r m s}^{2}+(500)^{2} . / v_{r m s}^{2}\) where \(v_{r m s}\) was the original mean square velocity of the gas.
4 Will be different on the top wall and bottom wall of the vessel.
NCERT Exemplar
PHXI13:KINETIC THEORY

360223 Energy of all molecules of a monoatomic gas having a volume \(V\) and pressure \(P\) is \(\dfrac{3}{2} P V\). The total translational kinetic energy of all molecules of a diatomic gas as the same volume and pressure is

1 \(\dfrac{1}{2} P V\)
2 \(\dfrac{3}{2} P V\)
3 \(\dfrac{5}{2} P V\)
4 \(3 P V\)
PHXI13:KINETIC THEORY

360224 Assertion :
When speed of sound in a gas is \(c\), then \(c_{\text {rms }}=\sqrt{\dfrac{3}{\gamma}} \times c\)
Reason :
\(c=\sqrt{\dfrac{\gamma p}{\rho}}\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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PHXI13:KINETIC THEORY

360221 Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion the average time of collision between molecules increases as \(V^{q}\), where \(V\) is the volume of the gas. The value of \(q\) is : \(\left( {\gamma = \frac{{{C_p}}}{{{C_v}}}} \right)\)

1 \(\dfrac{3 \gamma-5}{6}\)
2 \(\dfrac{\gamma+1}{2}\)
3 \(\dfrac{\gamma-1}{2}\)
4 \(\dfrac{3 \gamma+5}{6}\)
PHXI13:KINETIC THEORY

360222 A cube vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of \(500\,\,m{s^{ - 1}}\) in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground

1 Remains the same because \(500\,\,m{s^{ - 1}}\) is very much smaller than \(v_{r m s}\) of the gas
2 Remains the same because motion of the vessel at a whole does not effect the relative motion of the gas molecules and the walls.
3 Will increases by a factor equal to \(v_{r m s}^{2}+(500)^{2} . / v_{r m s}^{2}\) where \(v_{r m s}\) was the original mean square velocity of the gas.
4 Will be different on the top wall and bottom wall of the vessel.
NCERT Exemplar
PHXI13:KINETIC THEORY

360223 Energy of all molecules of a monoatomic gas having a volume \(V\) and pressure \(P\) is \(\dfrac{3}{2} P V\). The total translational kinetic energy of all molecules of a diatomic gas as the same volume and pressure is

1 \(\dfrac{1}{2} P V\)
2 \(\dfrac{3}{2} P V\)
3 \(\dfrac{5}{2} P V\)
4 \(3 P V\)
PHXI13:KINETIC THEORY

360224 Assertion :
When speed of sound in a gas is \(c\), then \(c_{\text {rms }}=\sqrt{\dfrac{3}{\gamma}} \times c\)
Reason :
\(c=\sqrt{\dfrac{\gamma p}{\rho}}\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
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PHXI13:KINETIC THEORY

360221 Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion the average time of collision between molecules increases as \(V^{q}\), where \(V\) is the volume of the gas. The value of \(q\) is : \(\left( {\gamma = \frac{{{C_p}}}{{{C_v}}}} \right)\)

1 \(\dfrac{3 \gamma-5}{6}\)
2 \(\dfrac{\gamma+1}{2}\)
3 \(\dfrac{\gamma-1}{2}\)
4 \(\dfrac{3 \gamma+5}{6}\)
PHXI13:KINETIC THEORY

360222 A cube vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of \(500\,\,m{s^{ - 1}}\) in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground

1 Remains the same because \(500\,\,m{s^{ - 1}}\) is very much smaller than \(v_{r m s}\) of the gas
2 Remains the same because motion of the vessel at a whole does not effect the relative motion of the gas molecules and the walls.
3 Will increases by a factor equal to \(v_{r m s}^{2}+(500)^{2} . / v_{r m s}^{2}\) where \(v_{r m s}\) was the original mean square velocity of the gas.
4 Will be different on the top wall and bottom wall of the vessel.
NCERT Exemplar
PHXI13:KINETIC THEORY

360223 Energy of all molecules of a monoatomic gas having a volume \(V\) and pressure \(P\) is \(\dfrac{3}{2} P V\). The total translational kinetic energy of all molecules of a diatomic gas as the same volume and pressure is

1 \(\dfrac{1}{2} P V\)
2 \(\dfrac{3}{2} P V\)
3 \(\dfrac{5}{2} P V\)
4 \(3 P V\)
PHXI13:KINETIC THEORY

360224 Assertion :
When speed of sound in a gas is \(c\), then \(c_{\text {rms }}=\sqrt{\dfrac{3}{\gamma}} \times c\)
Reason :
\(c=\sqrt{\dfrac{\gamma p}{\rho}}\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
For More Updates join with Us
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