Assertion (A): | The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and volume. |
Reason (R): | The molecules of gas collide with each other and the velocities of the molecules change due to the collision. |
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. |
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. |
Assertion (A): | The internal energy of a real gas is a function of both, temperature and volume. |
Reason (R): | Internal K.E. depends on temperature and internal P.E. depends on volume. |
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. |
Assertion (A): | Absolute zero temperature is also the zero energy temperature of gas molecules. |
Reason (R): | At absolute zero temperature, the molecules of gas come to rest, hence possess no energy of any form. |
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. |
Assertion (A): | The root mean square velocity of molecules of gas having a Maxwellian distribution of velocities is higher than their most probable velocity at any temperature. |
Reason (R): | A very small number of molecules of a gas which possess very large velocities increase root mean square velocity, without affecting the most probable velocity. |
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. |
Assertion (A): | A gas can be liquified at any temperature by an increase of pressure alone. |
Reason (R): | On increasing pressure, the temperature of gas decreases. |
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. |
Assertion (A): | The ratio \(C_p\over C_v\) is more for helium gas than for hydrogen gas. |
Reason (R): | Atomic mass of helium is more than that of hydrogen. |
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. |
Assertion (A): | The root mean square and most probable speeds of the molecules in a gas are the same. |
Reason (R): | The Maxwell distribution for the speed of molecules in a gas is symmetrical. |
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. |
Assertion (A): | For a gas, \(\gamma\)=1.286, the number of degrees of freedom of the molecules of this gas is 7. |
Reason (R): | \({\gamma} =1+{2\over n}\) | The relation between
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. |
Assertion (A): | The molar heat capacity of the gas can have any value from \(-\infty\) to \(\infty\). |
Reason (R): | The molar heat capacity of the gas for the isothermal process is \(\infty\). |
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. |