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Liquefaction of Gases - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:35 AM | #JEE Main

Quick Facts

  • 13 Questions around this concept.

Solve by difficulty

For a real gas the P-V curve was experimentally plotted and it had the following appearance. With respect to liquefaction. Choose the correct statement.

The values of van der Waal's constant a for the gases \mathrm{O}_2, \mathrm{~N}_2, \mathrm{NH}_3$ and $\mathrm{CH}_4 are 1.360,~1.390,~4.170,~2.259 \mathrm{~L}^2 \mathrm{~atm} / \mathrm{mol}^2. The gas that can most easily be liquefied is -

Consider the vander waals constants a and b for the following gases ___

Gas Ar Ne Kr Xe
a 1.3 0.2 5.1 4.1
b 3.2 1.7 1.0 5.0

Which gas is expected to have the highest critical temperature ?

 

Which of the following statement (s) is true       

I – Slope of isotherm at critical point is maximum.  

II – Larger is the value of TC easier is the liquification of gas.

III – Vander Waal's equation of state is applicable below critical temperature at all pressure.

Concepts Covered - 0

Liquefaction of Gases

Liquefaction of Gases
Liquefaction of gases is done under the following two conditions: (i) Low temperature (i) High pressure 

  • Low Temperature: As the temperature of the gas is lowered, the kinetic energy of the molecules decreases. The volume occupied by the gas also decreases. At very low-temperature molecules come very close to each other, later on coming more closer they ultimately change into the liquid state. 
  • High Pressure: Increase in pressure brings the gaseous molecules closer and closer to one another. So, this factor also helps in converting the gas into the liquid. 

    For each gas there is a certain temperature above which the gas cannot be liquefied however high pressure is applied. Therefore we can say that the effect of temperature is more important than that of the pressure.

Critical Temperature Tc
Critical temperature of a gas may be defined as that temperature above which the gas cannot be liquefied however high the pressure is applied on the gas. 

The critical temperature of a real gas is given by \mathrm{T_c = \frac{8a}{27Rb}}

Critical Pressure Pc
The minimum pressure that must be applied on a gas at its critical temperature to just liquefy it. 

The critical pressure of a real gas is given by \mathrm{P_c = \frac{a}{27b^2}}

Critical Volume Vc
The volume occupied by one mole of a gas at its critical temperature and critical pressure is known as the critical volume.

The critical volume of a real gas is given by \mathrm{V_c = 3b}

At critical point,\mathrm{Z = \frac{P_cV_c}{RT_c}=\frac{3}{8}}

Significance of a and b

  • It gives the magnitude of attraction forces present between gas molecules. 
    Liquefication of gases ∝ a 
    Hence more the value of 'a' or force of attraction between the molecules of a gas, more will be its liquefaction: 

    Example,
    \begin{array}{l}{\text { Values of 'a' }} \\ {\text { He }<\mathrm{H}_{2}<\mathrm{O}_{2}<\mathrm{N}_{2}<\mathrm{CO}_{2}<\mathrm{HCl}<\mathrm{NH}_{3}<\mathrm{SO}_{2}} \\ {\mathrm{a} \rightarrow(0.034)(0.244)(1.36)(1.39)(3.59)(3.8)(4.17)(6.71)} \\ {\text { Increasing order of liquefication of some gases }}\end{array}
  • Its constancy in value shows that gas molecules are incompressible. 
    \mathrm{b=4 N\left(\frac{4}{3} \pi r^{2}\right)}
  • At low pressure 'a' dominates but at high pressure 'b' dominates.

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