The value of \(\frac{PV}{T}\) where the curves meet on the \(y\)-axis is:
1. \(0.06~\text{JK}^{-1}\)
2. \(0.36~\text{JK}^{-1}\)
3. \(0.16~\text{JK}^{-1}\)
4. \(0.26~\text{JK}^{-1}\)
For the process \(A\rightarrow B\) of an ideal gas of fixed mass, the density of gas:
1. | increases. |
2. | decreases. |
3. | remains constant. |
4. | first increases then decreases. |
PV versus T graph of equal masses of H2, He, and O2 is shown in the figure. Choose the correct alternative:
1. A corresponds to H2, B to He, and C to O2
2. A corresponds to He, B to H2, and C to O2
3. A corresponds to He, B to O2, and C to H2
4. A corresponds to O2, B to H2, and C to He
(1) | translational kinetic energy of its molecules |
(2) | vibrational kinetic energy of its molecules |
(3) | rotational kinetic energy of its molecules |
(4) | potential energy corresponding to molecular forces |
1. | (2) and (3) |
2. | (1) and (4) |
3. | (1) only |
4. | (1), (2), (3) and (4) |
Assertion (A): | The translational kinetic energy of every molecule of an ideal gas increases by 50% if the absolute temperature is raised by \(50\text{%}.\) |
Reason (R): | The average translational kinetic energy of the molecules of an ideal gas is directly proportional to its absolute temperature. |
1. | (A) is true but (R) is false. |
2. | (A) is false but (R) is true. |
3. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
Assertion (A): | As a gas bubble rises from the bottom of a lake, its volume decreases. |
Reason (R): | As the gas bubble rises from the bottom of a lake, the pressure of the gas within decreases. |
1. | (A) is True but (R) is False. |
2. | (A) is False but (R) is True. |
3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Assertion (A): | The molecules of a monoatomic gas has three degrees of freedom. |
Reason (R): | The molecules of diatomic gas have five degrees of freedom. |
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 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. |