At room temperature, the rms speed of the molecules of certain diatomic gas is found to be \(1930\) m/s. The gas is:
1. \(H_2\)
2. \(F_2\)
3. \(O_2\)
4. \(Cl_2\)

Subtopic:  Types of Velocities |
 63%
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At which temperature the velocity of \(\mathrm{O_2}\) molecules will be equal to the velocity of \(\mathrm{N_2}\) molecules at \(0^\circ \text{C}?\)

1. \(40^\circ \text{C}\) 2. \(93^\circ \text{C}\)
3. \(39^\circ \text{C}\) 4. Cannot be calculated
Subtopic:  Types of Velocities |
 78%
From NCERT
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If the pressure in a closed vessel is reduced by drawing out some gas, the mean free path of the molecules:

1. decreases
2. increases
3. remains unchanged
4. increases or decreases according to the nature of the gas

Subtopic:  Mean Free Path |
 76%
From NCERT
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The specific heat of an ideal gas is:

1.  proportional to T.                     

2.  proportional to T2.

3.  proportional to T3.                  

4.  independent of T.

Subtopic:  Specific Heat |
 65%
From NCERT
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The specific heat of a gas:

1. has only two values \(Cp\) and \(Cv\).   
2. has a unique value at a given temperature.
3. can have any value between 0 and  ∞.
4. depends upon the mass of the gas.
 

Subtopic:  Specific Heat |
 58%
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For hydrogen gas, the difference between molar specific heats is given by; \(C_P-C_V=a,\) and for oxygen gas, \(C_P-C_V=b.\) Here, \(C_P\)​ and \(C_V\)​ are molar specific heats expressed in \(\text{J mol}^{-1}\text{K}^{-1}.\) What is the relationship between \(a\) and \(b?\)
1. \(a=16b\)
2. \(b=16a\)
3. \(a=4b\)
4. \(a=b\)

Subtopic:  Specific Heat |
 65%
From NCERT
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The translatory kinetic energy of a gas per \(\text{g}\) is:

1. \(\dfrac{3}{2}\dfrac{RT}{N}\) 2. \(\dfrac{3}{2}\dfrac{RT}{M}\)
3. \(\dfrac{3}{2}RT \) 4. \(\dfrac{3}{2}NKT\)
Subtopic:  Kinetic Energy of an Ideal Gas |
 64%
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The average translational kinetic energy of \(O_2\) (molar mass \(32\)) molecules at a particular temperature is \(0.048~\text{eV}\). The translational kinetic energy of \(N_2\) (molar mass \(28\)) molecules in \(\text{eV}\) at the same temperature is:
1. \(0.0015\)
2. \(0.003\)
3. \(0.048\)
4. \(0.768\)

Subtopic:  Kinetic Energy of an Ideal Gas | Types of Velocities | Law of Equipartition of Energy |
 83%
From NCERT
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Two containers of equal volumes contain the same gas at pressures \(P_1\) and \(P_2\) and absolute temperatures \(T_1\) and \(T_2\), respectively. On joining the vessels, the gas reaches a common pressure \(P\) and common temperature \(T\). The ratio \(\dfrac{P}{T}\) is equal to:

1. \(\dfrac{P_1}{T_1}+\dfrac{P_2}{T_2}\) 2. \(\dfrac{P_1T_1+P_2T_2}{(T_1+T_2)^2}\)
3. \(\dfrac{P_1T_2+P_2T_1}{(T_1+T_2)^2}\) 4. \(\dfrac{P_1}{2T_1}+\dfrac{P_2}{2T_2}\)
Subtopic:  Ideal Gas Equation |
 53%
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The root mean square speed of the molecules of a diatomic gas is \(v\). When the temperature is doubled, the molecules dissociate into two atoms. The new root mean square speed of the atom is:

1. \(\sqrt{2}v\) 2. \(v\)
3. \(2v\) 4. \(4v\)
Subtopic:  Types of Velocities |
 69%
From NCERT
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