At what temperature will the \(\text{rms}\) speed of oxygen molecules become just sufficient for escaping from the earth's atmosphere? 
(Given: Mass of oxygen molecule \((m)= 2.76\times 10^{-26}~\text{kg}\), Boltzmann's constant \(k_B= 1.38\times10^{-23}~\text{J K}^{-1}\)):
1. \(2.508\times 10^{4}~\text{K}\)
2. \(8.360\times 10^{4}~\text{K}\)
3. \(5.016\times 10^{4}~\text{K}\)
4. \(1.254\times 10^{4}~\text{K}\)

Subtopic:  Types of Velocities |
 63%
From NCERT
NEET - 2018
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A gas mixture consists of \(2\) moles of \(O_2\) and \(4\) moles of \(Ar\) at temperature \(T.\) Neglecting all the vibrational modes, the total internal energy of the system is:

1. \(15RT\) 2. \(9RT\)
3. \(11RT\) 4. \(4RT\)
Subtopic:  Law of Equipartition of Energy |
 77%
From NCERT
NEET - 2017
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A gas mixture consist of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:

(1)4RT 

(2) 15RT

(3)9RT

(4)11RT

Subtopic:  Kinetic Energy of an Ideal Gas | Law of Equipartition of Energy |
 93%
From NCERT
NEET - 2017
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One mole of an ideal monatomic gas undergoes a process described by the equation PV3= constant. The heat capacity of the gas during this process is:

(1) 32R           

(2) 52R

(3) 2R             

(4) R

Subtopic:  Specific Heat |
NEET - 2016
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The molecules of a given mass of gas have rms velocity of 200 ms-1 at \(27^{\circ}\mathrm{C}\) and 1.0 x 105 Nm-2 pressure. When the temperature and pressure of the gas are increased to, respectively, \(127^{\circ}\mathrm{C}\) and 0.05 X 10Nm-2, rms velocity of its molecules in ms-1 will become:
1. 400/√3
2. 100√2/3
3. 100/3 
4.100√2

Subtopic:  Types of Velocities |
 79%
From NCERT
NEET - 2016
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A given sample of an ideal gas occupies a volume \(V\) at a pressure \(P\) and absolute temperature \(T\). The mass of each molecule of the gas is \(m\). Which of the following gives the density of the gas?
1. \(\frac{P}{kT}\)
2. \(\frac{Pm}{kT}\)
3. \(\frac{P}{kTV}\)
4. \(mkT\)

Subtopic:  Ideal Gas Equation |
 85%
From NCERT
NEET - 2016
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The molecules of a given mass of gas have rms velocity of \(200~\mathrm{ms^{-1}}\) at \(27^\circ \text{C}\) and \(1.0\times 10^{5}~\mathrm{Nm^{-2}}\) pressure. When the temperature and the pressure of the gas are respectively, \(127^\circ \text{C}\) and \(0.05\times10^{5}~\mathrm{Nm^{-2}}\), the RMS velocity of its molecules in \(\mathrm{ms^{-1}}\) is:
1. \(\frac{400}{\sqrt{3}}\)
2. \(\frac{100\sqrt{2}}{3}\)
3. \(\frac{100}{3}\)
4. \(100\sqrt{2}\)
Subtopic:  Types of Velocities |
 82%
From NCERT
NEET - 2016
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