An increase in the temperature of a gas-filled in a container would lead to:

1.  decrease in the intermolecular distance.
2.  increase in its mass.
3.  increase in its kinetic energy.
4.  decrease in its pressure.

Subtopic:  Kinetic Energy of an Ideal Gas |
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If the pressure of a gas is doubled, then the average kinetic energy per unit volume of the gas will be:

1. half of its initial value. 2. double its initial value.
3. one-fourth of its initial value. 4. four times its initial value.
Subtopic:  Kinetic Energy of an Ideal Gas |
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The ratio of the average translatory kinetic energy of He gas molecules to O2 gas molecules is:

1. 2521

2. 2125

3. 32

4. 1

Subtopic:  Kinetic Energy of an Ideal Gas |
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Match Column - I and Column - II and choose the correct match from the given choices.
 

Column - I Column - II
(A) root mean square speed of gas molecules (P) \(\frac13nm\bar v^2\)
(B) the pressure exerted by an ideal gas (Q) \( \sqrt{\frac{3 R T}{M}} \)
(C) the average kinetic energy of a molecule (R) \( \frac{5}{2} R T \)
(D) the total internal energy of 1 mole of a diatomic gas (S) \(\frac32k_BT\)
 
(A) (B) (C) (D)
1. (Q) (P) (S) (R)
2. (R) (Q) (P) (S)
3. (R) (P) (S) (Q)
4. (Q) (R) (S) (P)
Subtopic:  Kinetic Energy of an Ideal Gas |
 76%
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A gas at pressure P0 is contained in a vessel. If the masses of all the molecules are halved and their speeds doubled, the resulting pressure would be:

1. 4P0

2. 2P0

3. P0

4. P02

Subtopic:  Kinetic Energy of an Ideal Gas |
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The translational kinetic energy of moles of a diatomic gas at absolute temperature is given by:
1. 52nRT
2. 32nRT
3. 5nRT
4. 72nRT

Subtopic:  Kinetic Energy of an Ideal Gas |
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The translatory kinetic energy of a gas per \(\text{g}\) is:

1. \({3 \over 2}{RT \over N}\) 2. \({3 \over 2}{RT \over M}\)
3. \({3 \over 2}RT \) 4. \({3 \over 2}NKT\)
Subtopic:  Kinetic Energy of an Ideal Gas |
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Given below are two statements: 
Assertion (A): If a gas container in motion is suddenly stopped, the temperature of the gas rises.
Reason (R): The kinetic energy of ordered mechanical motion is converted into the kinetic energy of random motion of gas molecules.
  
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.
Subtopic:  Kinetic Energy of an Ideal Gas |
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If at a pressure of \(10^6\) dyne/cm2, one gram of nitrogen occupies \(2\times10^4\) c.c. volume, then the average energy of a nitrogen molecule in erg is:

1. \(14\times10^{-13}\) 2. \(10\times10^{-12}\)
3. \(10^{6}\) 4. \(2\times10^{6}\)
Subtopic:  Kinetic Energy of an Ideal Gas |
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Heat is  associated with:

1. kinetic energy of random motion of molecules.
2. kinetic energy of orderly motion of molecules.
3. total kinetic energy of random and orderly motion of molecules.
4. kinetic energy of random motion in some cases and kinetic energy of orderly motion in other cases.


 

Subtopic:  Kinetic Energy of an Ideal Gas |
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