The van der Waal's constant 'b' for N₂ and H₂ has the values 0.039 lit moil^–1 and 0.0266 lit mo1^–1. The density of solid N₂ is 1 g cm^–3. Assuming the molecules in the solids to be close packed with the same percentage void, the density of solid H₂ would be (in g cm^–3)

(1) 0.114

(2) 0.682

(3) 1.466

(4) 0.071

A certain gas effuses out of two different vessels A and B. A has a circular orifice while B has a square orifice of length equal to the radius of the orifice of vessel A. The ratio of rate of diffusion of the gas from vessel A to that from vessel B is

(1) π : 1

(2) 1 : π

(3) 1 : 1

(4) 3 : 2

If 10²³ gas molecules each having a mass of 10^–25 kg, placed in a 1 L container, moving with RMS speed of 10⁵cm/sec. then the total KE of gaseous molecules and pressure exerted by molecules, respectively are :

(1) 10 kJ, 3.33 × 10⁶ Pa

(2) 5 kJ, 3.33 × 10⁸ Pa

(3) 10 kJ, 3.37 × 10⁷ Pa

(4) 5 kJ, 3.33 × 10⁷ Pa

A sample of a given mass of a gas at a constant temperature occupies 95cm³ under a pressure of $9.962\times {10}^4{\mathrm{Nm}}^{-2}$. At the same temperature, the volume at a pressure of $10.13\times {10}^4{\mathrm{Nm}}^{-2}$ is [Bihar CEE 1992]

1. 190 cm³

2. 93 cm³

3. 46.5 cm³

4. 47.5 cm³

A gas occupied a volume of 250 ml at 700 mm Hg pressure and 25°C. An additional pressure is required to reduce the gas volume to its 4/5^th value at the same temperature is-

1. 225 mm Hg

2. 175 mm Hg

3. 150 mm Hg

4. 265 mm Hg

When the temperature of 23 ml of dry CO₂ gas is increased from 10° to 30°C at a constant pressure of 760 mm, the volume of gas becomes-

1. 7.7 ml

2. 25.5 ml

3. 24.6 ml

4. 69 ml

The volume of a gas is 100 ml at 100°C. If the pressure remains constant then the temperature at which the volume becomes 200 ml is-

1. 200°C

2. 473°C

3. 746°C

4. 50°C

If 300 ml of a gas at 27°C is cooled to 7°C at constant pressure, its final volume will be:

According to Charle’s law, at constant pressure, 100 ml of a given mass of a gas with 10°C rise in temperature will become $\left(\frac{1}{273}=0.00366\right)$ ,T initial = Zero °C

1. 100.03

2. 99.96

3. 103.66

4. 100.36

A sealed tube which can withstand a pressure of 3 atmosphere is filled with air at ${27}^{o}C$ and 760 mm pressure. The tube will burst at - 

1. 900°C

2. 627°C

3. 726°C

4. 1173°C