Compressibility factor of a real gas is 0.5 at $300 K, 1$ bar. If value of vanderwaal constant is "a" $(\frac{bar L ^{2}}{mol ^{2}})$ , find value of $\frac{a}{10}$ to the nearest integer.
Given volume of gas molecules negligible
$(R = \frac{1}{12} L . ba r . m o l^{- 1} K^{- 1})$

Question

Compressibility factor of a real gas is 0.5 at $300 K, 1$ bar. If value of vanderwaal constant is "a" $(\frac{bar L ^{2}}{mol ^{2}})$ , find value of $\frac{a}{10}$ to the nearest integer.

Given volume of gas molecules negligible

$(R = \frac{1}{12} L . ba r . m o l^{- 1} K^{- 1})$

TestHub · Accepted Answer

Z = 12 1 ​ × 300 1 × v m ​ ​ = 2 1 ​ V m ​ = 12.5 L Z = 1 − V m ​ RT a ​ 2 1 ​ = 1 − 2 25 ​ × 12 1 ​ × 300 a ​ a = 4 625 ​ = 156.25 10 a ​ = 156.25 ≈ 16

Chemistry - Real Gas Question with Solution | TestHub

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