The van der Waal's parameters for gases W, X, Y and Z are <br><br>Gas | | <br>W | 4.0 | 0.027<br>X | — States of Matter and Gaseous State Chemistry Question
Question
The van der Waal's parameters for gases W, X, Y and Z are <br><br>Gas | $a\text{ (atm l}^2\text{/mol}^2\text{)}$ | $b\text{ (l/mol)}$<br>W | 4.0 | 0.027<br>X | 8.0 | 0.030<br>Y | 6.0 | 0.032<br>Z | 12.0 | 0.027<br><br>Which one of these gases has the highest critical temperature?
Answer: D
💡 Solution & Explanation
The critical temperature is given by $T_c = \frac{8a}{27Rb}$, which means $T_c \propto a/b$. Evaluating the ratio $a/b$: W = $4/0.027 \approx 148$; X = $8/0.030 \approx 266$; Y = $6/0.032 \approx 187$; Z = $12/0.027 \approx 444$. Gas Z has the highest ratio, thus the highest critical temperature. Therefore, correct answer is D.
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