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 x 10-26 kg, Boltzmann's constant kB = 1.38 × 10-23 J K-1):

1. 2.508×104 K

2. 8.360×104 K

3. 5.016×104 K

4. 1.254×104 K

Subtopic:  Types of Velocities |
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A gas mixture consists of 2 moles of O2 and 4 moles of Ar at temperature T. Neglecting all the  vibrational modes, the total internal energy of the system is:

1. 15 RT

2. 9 RT

3. 11 RT

4. 4 RT

Subtopic:  Law of Equipartition of Energy |
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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 |
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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 |
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The molecules of a given mass of gas have r.m.s velocity of 200 ms-1 at 27°C and 1.0 x 105 Nm-2 pressure. When the temperature and pressure of the gas are increased to ,respectively, 127°C and 0.05 X 10Nm-2 , r.m.s 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 |
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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.  P/(kT)

2.  Pm/(kT)

3.  P/(kTV)

4.  mkT

Subtopic:  Ideal Gas Equation |
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The molecules of a given mass of gas have RMS velocity of 200 ms-1 at 27 °C and 1.0x105 Nm-2 pressure. When the temperature and the pressure of the gas are respectively, 127 °C and 0.05x105 Nm-2, the RMS velocity of its molecules in ms-1 is:
1. 4003

2. 10023

3. 1003

4. 1002

Subtopic:  Types of Velocities |
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