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Year: 2020
Topic: Kinetic Theory
1.
The average thermal energy for a monoatomic gas is (where,\(k_ B\) is Boltzmann constant and T is absolute temperature.)
(1).
\(\displaystyle \frac{3}{2}k_B\,T\)
(2).
\(\displaystyle \frac{5}{2}k_B\,T\)
(3).
\(\displaystyle \frac{7}{2}k_B\,T\)
(4).
\(\displaystyle \frac{1}{2}k_B\,T\)

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Year: 2024
Topic: Kinetic Theory
2.
The following graph represents the T - V curves of an ideal gas ( where T is the temperature and V the volume ) at three pressures P1 , P2 and P3 compared with those of Charles's law represented as dotted lines .
(1).
P2 > P1 > P3
(2).
P1 > P2 > P3
(3).
P3 > P2 > P1
(4).
P1 > P3 > P2

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Year: 2021
Topic: Kinetic Theory
3.
Match Column l with Column ll andchoose the correct match fromthegiven choices.
(1).
A-3, B-1, C-4, D-2
(2).
A-2, B-3, C-4, D-1
(3).
A-2, B-1, C-4, D-3
(4).
A-3, B-2, C-1, D-4

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Year: 2020
Topic: Kinetic Theory
4.
The mean free path l for a gas,with molecular diameter d and number density n can be expressed as
(1).
\(\displaystyle \frac{1}{\sqrt{2}n\pi d^2}\)
(2).
\(\displaystyle \frac{1}{\sqrt{2}n^2\pi d^2}\)
(3).
\(\displaystyle \frac{1}{\sqrt{2}n^2\pi^2 d^2}\)
(4).
\(\displaystyle \frac{1}{\sqrt{2}n\pi d}\)

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Solution
Year: 2020
Topic: Kinetic Theory
5.
A cylinder contains hydrogen gas at pressure of 249 kPa and temperature 27°C. Its density is (\(R = 8.3\, J mol^{ −1} K^{−1}\) )
(1).
\(0.2\, kg/m^3\)
(2).
\( 0.1\, kg/m^3\)
(3).
\( 0.02 \, kg/m^3\)
(4).
\(0.5 \, kg/m^3\)

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Year: 2019
Topic: Kinetic Theory
6.
Increase in temperature of a gas filled in a container would lead to
(1).
increase in its kinetic energy
(2).
decrease in its pressure
(3).
decrease in intermolecular distance
(4).
increase in its mass

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Year: 2018
Topic: Kinetic Theory
7.
At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth’s atmosphere?
(Given: mass of oxygen molecule,\(m = 2.76 × 10^−{26}\, kg\) ,Boltzmann’s constant\(k_B = 1.38 10^{-23} J K^{ −1}\))
(1).
\(5.016 \times 10^4\, K\)
(2).
\(8.326 \times 10^4\, K\)
(3).
\(2.508 \times 10^4\, K\)
(4).
\(1.254 \times 10^4\, K\)

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Solution
Year: 2017
Topic: Kinetic Theory
8.
A gas mixture consists of 2 moles of \(O_2\) and 4 moles of \(A_r\) at temperature T. Neglecting all vibrational modes, the total internal energy of the system is
(1).
4 RT
(2).
15 RT
(3).
9 RT
(4).
11 RT

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Solution
Year: 2016
Topic: Kinetic Theory
9.
The molecules of a given mass of a gas have r.m.s. velocity of \(200\, \text{ms}^{−1}\) at \(27^\circ \text{C}\) and \(1.0 \times 10^5 \text{Nm}^{−2}\) pressure. When the temperature and pressure of the gas are respectively, \(127^ \circ \text{C}\) and \(0.05 \times 10^5 \text{Nm}^{ −2}\) , the rms velocity of its molecules in \(\text{ms}^{ −1}\) is
(1).
\(\displaystyle \frac{400}{\sqrt{3}}\)
(2).
\(\displaystyle \frac{100\sqrt{2}}{3}\)
(3).
\(\displaystyle \frac{100}{3}\)
(4).
\(\displaystyle100\sqrt{2}\)

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