Consider the van der Waals constants, a and b, for the following gases.

                \; \; \; Gas\; \; \; \; \; \; \; \; \; \;\; \; \; Ar\; \; Ne \; \; Kr \; \; Xe

a/\left ( atm\; dm^{6}mol^{-2} \right ) 1.3 \; \; 0.2\; \; 5.1\; \; 4.1

b/\left ( 10^{-2}dm^{3}mol^{-1} \right )\; 3.2\; \; 1.7\; \; 1.0\; \; 5.0

 Which gas is expected to have the highest critical temperature?

  • Option 1)

    Kr

  • Option 2)

    Ne

  • Option 3)

    Xe

  • Option 4)

    Ar

Answers (1)

The highest critical temperature  T_{c}\propto \frac{a}{b}

                  A_{r} \Rightarrow T_{C}\propto \frac{1.3}{3.2}

                 N_{e}\Rightarrow T_{c}\propto \frac{0.2}{1.7}

                 K_{r}\Rightarrow T_{c}\propto \frac{5.1}{1.0}     (Maximum)

                X_{e}\Rightarrow T_{c}\propto \frac{4.1}{5.0}

                K_{r} is the answer


Option 1)

Kr

Option 2)

Ne

Option 3)

Xe

Option 4)

Ar

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