A general form of equation of state for gases is PV=RT $\left(\mathrm{A}+\frac{\mathrm{B}}{\mathrm{V}}+\frac{\mathrm{C}}{{\mathrm{V}}^2}+........\right),$ where V is the molar volume of the gas and A, B, C, ........... are constant for the gas. The values of A and B, if the gas obeys van der Waals' equation, are respectively.

(1) $\frac{\mathrm{a}}{\mathrm{RT}}, \mathrm{b}$                                     

(2) $\frac{2\mathrm{a}}{\mathrm{RT}}, \mathrm{b}$

(3) $1, \mathrm{b}-\frac{\mathrm{a}}{\mathrm{RT}}$                               

(4) $1, \frac{\mathrm{a}}{27 \mathrm{b}}$

The mean free path of gas A, with molecular diameter equal to 4 Å, contained in a vessel, at a pressure of ${10}^{–6}$ torr, is 6990 cm. The vessel is evacuated and then filled with gas B, with molecular diameter, equal to 2 Å, at a pressure of ${10}^{–3}$ torr, the temperature remaining the same. The mean free path of gas B will be

(A) 28 cm                       

(B) 280 cm

(C) 7 cm                         

(D) 14 cm

Which of the following curves does not represent Boyle's Law

(1) 

(2) `

(3) 

(4) 

If the pressure of a given mass of gas is reduced to half and temperature is doubled simultaneously, the volume will be

(1) Same as before                                   

(2) Twice as before

(3) Four time as before                               

(4) One fourth as before

The critical volume of a gas is $0.072 \mathrm{lit}. {\mathrm{mol}}^{–1}$. The radius of the molecule will be , in cm

1. ${\left(\frac{3}{4\mathrm{\pi }}\mathrm{x}{10}^{-23}\right)}^{\frac{\mathbf{1}}{\mathbf{3}}}$                           

2. ${\left(\frac{4\mathrm{\pi }}{3}\mathrm{x}{10}^{-23}\right)}^{\frac{\mathbf{1}}{\mathbf{3}}}$

3. ${\left(\frac{3\mathrm{\pi }}{4}\mathrm{x}{10}^{-23}\right)}^{\frac{\mathbf{1}}{\mathbf{3}}}$                           

4. $\left(\frac{3}{4\mathrm{\pi }}\mathrm{x}{10}^{-8}\right)$

32 gm of oxygen and 3 gm of hydrogen are mixed and kept in a vessel to 760 mm pressure and 0ºC. The total volume occupied by the mixture will be nearly

(1) 22.4 lit.                               

(2) 33.6 lit

(3) 56 lit                                   

(4) 44.8 lit

A closed vessel contains equal number of nitrogen and oxygen molecules at pressure of P mm. If nitrogen is removed from the system, then the pressure will be

(1) $\mathrm{P}$                              

(2) $2\mathrm{P}$

(3) $\mathrm{P}/2$                           

(4) ${\mathrm{P}}^2$

Two vessels of capacities 3 litres and 4 litres are separately filled with a gas. The pressures are respectively 202 kPa and 101 kPa. The two vessels are connected. The gas pressure will be now, at constant temperature.

(1) 151.5 kPa                             

(2) 144 kPa

(3) 303 kPa                                 

(4) 175 kPa

2 gms of hydrogen diffuses from a container in 10 minutes. How many gms of oxygen would diffuse through the same time under similar conditions?

1. 0.5 gm                         

2. 4 gm

3. 6 gm                             

4. 8 gm

The temperature of a sample of gas is raised from 127ºC to 527ºC. The average kinetic energy of the gas$-$

(1) Does not changes                         

(2) Is doubled

(3) Is halved                                     

(4) Cannot be calculated