Kinetic Theory of an Ideal Gas
PHXI13:KINETIC THEORY

360247 The molecules of a given mass of gas have a root mean square velocity of \(200\;m\;{s^{ - 1}}\) at \(27^\circ C\) and \(1.0 \times {10^5}\;N{m^{ - 2}}\) pressure. When the temperature is \(127^\circ C\) and the pressure \(0.5 \times {10^5}N{m^{ - 2}}\), the root mean square velocity in \(m{s^{ - 1}}\), is

1 \(\dfrac{400}{\sqrt{3}}\)
2 \(100 \sqrt{2}\)
3 \(\dfrac{100 \sqrt{2}}{3}\)
4 \(\dfrac{100}{3}\)
PHXI13:KINETIC THEORY

360248 The ratio of root mean square velocities of \({O_3}\) and \({O_2}\) is

1 \(1: 1\)
2 \(2: 3\)
3 \(3: 2\)
4 \(\sqrt{2}: \sqrt{3}\)
PHXI13:KINETIC THEORY

360249 The average translational kinetic energy and the rms speed of molecules of a sample of oxygen gas at \(300\;K\) are \(6.21 \times {10^{ - 21}}\;J\) and \(484\;m{s^{ - 1}}\) respectively. The corresponding values at \(600\;K\) are nearly (assuming ideal gas behaviour)

1 \(12.42 \times {10^{ - 21}}\;J,968\;m{s^{ - 1}}\)
2 \(8.78 \times {10^{ - 21}}\;J,684\;m{s^{ - 1}}\)
3 \(6.21 \times {10^{ - 21}}\;J,968\;m{s^{ - 1}}\)
4 \(12.42 \times {10^{ - 21}}\;J,682\;m{s^{ - 1}}\)
PHXI13:KINETIC THEORY

360250 Assertion :
The root mean square speed of the molecule of different ideal gases at the same temperature are the same.
Reason :
Root mean square value of speed does depends on the temperature.

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.
PHXI13:KINETIC THEORY

360247 The molecules of a given mass of gas have a root mean square velocity of \(200\;m\;{s^{ - 1}}\) at \(27^\circ C\) and \(1.0 \times {10^5}\;N{m^{ - 2}}\) pressure. When the temperature is \(127^\circ C\) and the pressure \(0.5 \times {10^5}N{m^{ - 2}}\), the root mean square velocity in \(m{s^{ - 1}}\), is

1 \(\dfrac{400}{\sqrt{3}}\)
2 \(100 \sqrt{2}\)
3 \(\dfrac{100 \sqrt{2}}{3}\)
4 \(\dfrac{100}{3}\)
PHXI13:KINETIC THEORY

360248 The ratio of root mean square velocities of \({O_3}\) and \({O_2}\) is

1 \(1: 1\)
2 \(2: 3\)
3 \(3: 2\)
4 \(\sqrt{2}: \sqrt{3}\)
PHXI13:KINETIC THEORY

360249 The average translational kinetic energy and the rms speed of molecules of a sample of oxygen gas at \(300\;K\) are \(6.21 \times {10^{ - 21}}\;J\) and \(484\;m{s^{ - 1}}\) respectively. The corresponding values at \(600\;K\) are nearly (assuming ideal gas behaviour)

1 \(12.42 \times {10^{ - 21}}\;J,968\;m{s^{ - 1}}\)
2 \(8.78 \times {10^{ - 21}}\;J,684\;m{s^{ - 1}}\)
3 \(6.21 \times {10^{ - 21}}\;J,968\;m{s^{ - 1}}\)
4 \(12.42 \times {10^{ - 21}}\;J,682\;m{s^{ - 1}}\)
PHXI13:KINETIC THEORY

360250 Assertion :
The root mean square speed of the molecule of different ideal gases at the same temperature are the same.
Reason :
Root mean square value of speed does depends on the temperature.

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.
PHXI13:KINETIC THEORY

360247 The molecules of a given mass of gas have a root mean square velocity of \(200\;m\;{s^{ - 1}}\) at \(27^\circ C\) and \(1.0 \times {10^5}\;N{m^{ - 2}}\) pressure. When the temperature is \(127^\circ C\) and the pressure \(0.5 \times {10^5}N{m^{ - 2}}\), the root mean square velocity in \(m{s^{ - 1}}\), is

1 \(\dfrac{400}{\sqrt{3}}\)
2 \(100 \sqrt{2}\)
3 \(\dfrac{100 \sqrt{2}}{3}\)
4 \(\dfrac{100}{3}\)
PHXI13:KINETIC THEORY

360248 The ratio of root mean square velocities of \({O_3}\) and \({O_2}\) is

1 \(1: 1\)
2 \(2: 3\)
3 \(3: 2\)
4 \(\sqrt{2}: \sqrt{3}\)
PHXI13:KINETIC THEORY

360249 The average translational kinetic energy and the rms speed of molecules of a sample of oxygen gas at \(300\;K\) are \(6.21 \times {10^{ - 21}}\;J\) and \(484\;m{s^{ - 1}}\) respectively. The corresponding values at \(600\;K\) are nearly (assuming ideal gas behaviour)

1 \(12.42 \times {10^{ - 21}}\;J,968\;m{s^{ - 1}}\)
2 \(8.78 \times {10^{ - 21}}\;J,684\;m{s^{ - 1}}\)
3 \(6.21 \times {10^{ - 21}}\;J,968\;m{s^{ - 1}}\)
4 \(12.42 \times {10^{ - 21}}\;J,682\;m{s^{ - 1}}\)
PHXI13:KINETIC THEORY

360250 Assertion :
The root mean square speed of the molecule of different ideal gases at the same temperature are the same.
Reason :
Root mean square value of speed does depends on the temperature.

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.
PHXI13:KINETIC THEORY

360247 The molecules of a given mass of gas have a root mean square velocity of \(200\;m\;{s^{ - 1}}\) at \(27^\circ C\) and \(1.0 \times {10^5}\;N{m^{ - 2}}\) pressure. When the temperature is \(127^\circ C\) and the pressure \(0.5 \times {10^5}N{m^{ - 2}}\), the root mean square velocity in \(m{s^{ - 1}}\), is

1 \(\dfrac{400}{\sqrt{3}}\)
2 \(100 \sqrt{2}\)
3 \(\dfrac{100 \sqrt{2}}{3}\)
4 \(\dfrac{100}{3}\)
PHXI13:KINETIC THEORY

360248 The ratio of root mean square velocities of \({O_3}\) and \({O_2}\) is

1 \(1: 1\)
2 \(2: 3\)
3 \(3: 2\)
4 \(\sqrt{2}: \sqrt{3}\)
PHXI13:KINETIC THEORY

360249 The average translational kinetic energy and the rms speed of molecules of a sample of oxygen gas at \(300\;K\) are \(6.21 \times {10^{ - 21}}\;J\) and \(484\;m{s^{ - 1}}\) respectively. The corresponding values at \(600\;K\) are nearly (assuming ideal gas behaviour)

1 \(12.42 \times {10^{ - 21}}\;J,968\;m{s^{ - 1}}\)
2 \(8.78 \times {10^{ - 21}}\;J,684\;m{s^{ - 1}}\)
3 \(6.21 \times {10^{ - 21}}\;J,968\;m{s^{ - 1}}\)
4 \(12.42 \times {10^{ - 21}}\;J,682\;m{s^{ - 1}}\)
PHXI13:KINETIC THEORY

360250 Assertion :
The root mean square speed of the molecule of different ideal gases at the same temperature are the same.
Reason :
Root mean square value of speed does depends on the temperature.

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.