The Vanderwaal’s parameters of two gases are given as a (dm6 bar mol-2)b (dm6 mol-1)Gas A6.50.056Gas B18.00.011Considering the value of parameters which of the following statement(s) is/are correct?

(Tc)A=8a27Rb=8×6.527×R×0.056 TcB=8×1827×R×0.011(Tc)A(Tc)B=6.5×0.0110.056×18<1⇒TcA<(Tc)B

The Vanderwaal’s parameters of two gases are given as a (dm6 bar mol-2)b (dm6 mol-1)Gas A6.50.056Gas B18.00.011Considering the value of parameters which of the following statement(s) is/are correct?

(Tc)A=8a27Rb=8×6.527×R×0.056 TcB=8×1827×R×0.011(Tc)A(Tc)B=6.5×0.0110.056×18<1⇒TcA<(Tc)B

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The Vanderwaal’s parameters of two gases are given as
a (dm⁶ bar mol^-2) b (dm⁶ mol^-1)
Gas A 6.5 0.056
Gas B 18.0 0.011
Considering the value of parameters which of the following statement(s) is/are correct?

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critical volume of A < critical volume of B

critical pressure of A > critical pressure of B

critical temperature of A < critical temperature of B

Ease of liquification of A > case of liquification of B

answer is C.

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Detailed Solution

$(Tc) A = \frac{8 a}{27 Rb} = \frac{8 \times 6.5}{27 \times R \times 0.056} \begin{array}{l} (T_{c}) B = \frac{8 \times 18}{27 \times R \times 0.011} \\ \frac{(Tc) A}{(Tc) B} = \frac{6.5 \times 0.011}{0.056 \times 18} < 1 \Rightarrow (T_{c}) A < (Tc) B \end{array}$