Chemistry - Real Gas Question with Solution | TestHub
van der Waal constants for three different gases are given
Gas X: a = 4.0 atm l²/mol², b = 0.020 l/mol
Gas Y: a = 2.0 atm l²/mol², b = 0.040 l/mol
Gas Z: a = 8.0 atm l²/mol², b = 0.030 l/mol
Which of the following is correctly matched?
Column I | Column II |
|---|---|
A) X | P) Maximum critical temperature |
B) Y | Q) Maximum critical volume |
C) Z | R) Maximum critical pressure |
| S) Least deviation from ideal behaviour |
Options:
Answer:
Solution:
Tc = 8a/27Rb: X ∝ 32/0.54 = 59.3; Y ∝ 16/1.08 = 14.8; Z ∝ 64/0.81 = 79.0, maximum for Z (CP). Vc = 3b: X = 0.060, Y = 0.120, Z = 0.090 l/mol, maximum for Y (BQ). Pc = a/27b²: X = 4/(27×0.0004) = 370.4; Y = 2/(27×0.0016) = 46.3; Z = 8/(27×0.0009) = 329.2 atm, maximum for X (AR). Least deviation from ideality goes with the smallest a, i.e. Y (a = 2.0), so BS. Hence AR; BQ,S; CP.
