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. |
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. |
The ratio of the average translatory kinetic energy of He gas molecules to gas molecules is:
1.
2.
3.
4. 1
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) | \(\dfrac13nm\bar v^2\) |
(B) | the pressure exerted by an ideal gas | (Q) | \( \sqrt{\dfrac{3 R T}{M}} \) |
(C) | the average kinetic energy of a molecule | (R) | \( \dfrac{5}{2} R T \) |
(D) | the total internal energy of \(1\) mole of a diatomic gas | (S) | \(\dfrac32k_BT\) |
(A) | (B) | (C) | (D) | |
1. | (Q) | (P) | (S) | (R) |
2. | (R) | (Q) | (P) | (S) |
3. | (R) | (P) | (S) | (Q) |
4. | (Q) | (R) | (S) | (P) |
A gas at pressure is contained in a vessel. If the masses of all the molecules are halved and their speeds doubled, the resulting pressure would be:
1.
2.
3.
4.
The translational kinetic energy of n moles of a diatomic gas at absolute temperature T is given by:
1.
2.
3.
4.
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. | \({3 \over 2}NKT\) |
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. |
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. | \(2\times10^{6}\) |
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. |