Van der Waals constants for three different gases are given: Gas X: a = 3.0 atm·L²/mol², b = 0.025 L — States of Matter and Gaseous State Chemistry Question
Question
Van der Waals constants for three different gases are given: Gas X: a = 3.0 atm·L²/mol², b = 0.025 L/mol; Gas Y: a = 10.0 atm·L²/mol², b = 0.030 L/mol; Gas Z: a = 6.0 atm·L²/mol², b = 0.035 L/mol. Match Column I with Column II: Column I: (A) X (B) Y (C) Z Column II: (P) Maximum critical temperature (Q) Maximum critical volume (R) Least deviation from ideal behaviour (S) Maximum critical pressure
💡 Solution & Explanation
vdW constants: X(a=3.0, b=0.025), Y(a=10.0, b=0.030), Z(a=6.0, b=0.035). \propto a/b$: X=120, Y=333, Z=171 \Rightarrow Y$ has max $ (P). \propto b$: Z has max =0.035$ \Rightarrow C\to Q$. \propto a/b^2$: X=4800, Y=11111, Z=4898 \Rightarrow Y$ has max $ (S), so B\to P,S. Least deviation: X has smallest $ and $ \Rightarrow A\to R$. Answer: A\to R; B\to P,S; C\to Q