Consider the van der Waals constants, a and b, for the following gases.
Gas Ar Ne Kr Xe a/ (atm dm6 mol-2) 1.3 0.2 5.1 4.1 b/ (10-2 dm3 mol-1) 3.2 1.7 1.0 5.0
Which gas is expected to have the highest critical temperature?
| Gas | Ar | Ne | Kr | Xe |
| a/ (atm dm6 mol-2) | 1.3 | 0.2 | 5.1 | 4.1 |
| b/ (10-2 dm3 mol-1) | 3.2 | 1.7 | 1.0 | 5.0 |
Which gas is expected to have the highest critical temperature?
Show Hint
- Ne
- Kr
- Xe
- Ar
The Correct Option is B
Solution and Explanation
Compute \(a/b\) (with b in units of \(10^{-2}\) dm3/mol):
Ar: \(1.3/3.2 = 0.41\)
Ne: \(0.2/1.7 = 0.12\)
Kr: \(5.1/1.0 = 5.1\)
Xe: \(4.1/5.0 = 0.82\)
Kr has the largest ratio, hence the highest critical temperature.
Answer: (2) Kr
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