| Statement I: | On reducing the volume of a gas at a constant temperature, the pressure of the gas increases. |
| Statement II: | At constant temperature, according to Boyle’s law, volume is inversely proportional to the pressure. |
| 1. | Statement I is correct and Statement II is incorrect. |
| 2. | Statement I is incorrect and Statement II is correct. |
| 3. | Both Statement I and Statement II are correct. |
| 4. | Both Statement I and Statement II are incorrect. |
Boyle's law is applicable for an:
| 1. | adiabatic process | 2. | isothermal process |
| 3. | isobaric process | 4. | isochoric process |

A given sample of an ideal gas occupies a volume \(V\) at a pressure \(P\) and absolute temperature \(T\). The mass of each molecule of the gas is \(m\). Which of the following gives the density of the gas?
| 1. | \(\dfrac{P}{kT}\) | 2. | \(\dfrac{Pm}{kT}\) |
| 3. | \(\dfrac{P}{kTV}\) | 4. | \(mkT\) |

| 1. | \(1\) | 2. | \(\dfrac32\) |
| 3. | \(\dfrac23\) | 4. | \(\dfrac54\) |
| 1. | \(PV = 8RT\) | 2. | \({PV}{=}\dfrac{RT}{4}\) |
| 3. | \(PV = RT\) | 4. | \({PV}{=}\dfrac{RT}{2}\) |
Two vessels separately contain two ideal gases, \(A\) and \(B\) at the same temperature, the pressure of \(A\) being twice that of \(B.\) Under such conditions, the density of \(A\) is found to be \(1.5\) times the density of \(B.\) The ratio of molecular weight of \(A\) and \(B\) is:
1. \(2/3\)
2. \(3/4\)
3. \(2\)
4. \(1/2\)