Equal moles of hydrogen and oxygen gases are placed in a container with a pin-hole through which both can escape. What fraction of the oxygen escapes in the time required for one-half of the hydrogen to escape?
 

1. 1/4
2. 3/8
3. 1/2
4. 1/8

Equal masses of H₂, O₂ and CH₄ have been taken in a container of volume V at temperature 27 ºC in identical conditions. The ratio of the volumes of gases H₂:O₂ : CH₄ would be:

1. 8:16:1
2. 16:8:1
3. 16:1:2
4. 8:1:2

Which is not correct curve for gay-lusacc's law?

1 .  

2.     

3.   

4.     

In two vessels of 1 litre each at the same temperature 1 g of ${\mathrm{H}}_2$ and 1 g of ${\mathrm{CH}}_4$ are taken, for these:

1.  ${\mathrm{V}}_{\mathrm{rms}}$ values will be same

2.  Kinetic energy per mol will be same

3.  Total kinetic energy will be same

4.  Pressure will be same

 The van der Waals parameters for gases W, X, Y and Z are

Which one of these gases has the highest critical temperature?

1.  W

2.  X

3.  Y

4.  Z

The excluded volume of a gas will be larger, if $\frac{{\mathrm{T}}_{\mathrm{C}}}{{\mathrm{P}}_{\mathrm{C}}}$ is:

1.  small

2.  large

3.  equal to 1

4.  less than unity

However great the pressure, a gas cannot be liquified above its:

1.  Boyle temperature

2.  Inversion temperature

3.  Critical temperature

4.  Room temperature

The van der Waal's equation of law of corresponding states for 1 mole of gas is:

1.  $\left({\mathrm{P}}_{\mathrm{r}}+\frac{3}{{\mathrm{V}}_{\mathrm{r}}^2}\right) \left(3{\mathrm{V}}_{\mathrm{r}}-1\right)=8{\mathrm{T}}_{\mathrm{r}}$

2.  $\left({\mathrm{P}}_{\mathrm{r}}-\frac{3}{{\mathrm{V}}_{\mathrm{r}}^2}\right) \left(3{\mathrm{V}}_{\mathrm{r}}-1\right)=8{\mathrm{T}}_{\mathrm{r}}$

3.  $\left({\mathrm{P}}_{\mathrm{r}}+\frac{3}{{\mathrm{V}}_{\mathrm{r}}^2}\right) \left(3{\mathrm{V}}_{\mathrm{r}}+1\right)=8{\mathrm{\pi T}}_{\mathrm{r}}$

4.  $\left({\mathrm{P}}_{\mathrm{r}}+\frac{3}{{\mathrm{V}}_{\mathrm{r}}^2}\right) \left(3{\mathrm{V}}_{\mathrm{r}}+1\right)=8$

Calculate isothermal compressibility constant for an ideal gas at 2 atm pressure.

1. 0.3 atm^-1

2. 0.4 atm^-1

3. 0.5 atm^-1

4. 0.6 atm^-1

An air bubble starts rising from the bottom of a lake, its diameter is 3.6 mm at the bottom and 4 mm at the surface. The depth of the lake is 250 cm and the temperature at the surface is 40$°$C. What is the temperature at the bottom of the lake? (Given atmospheric pressure = 76 cm of Hg and g=980 cm sec^-2. Neglect surface tension effect).

1. 293.46 K

2. 193.7K

3. 283.3 K

4. 280.4K