[Four-digit Integer] For a van der Waal's gas, the critical pressure and temperature are 73.89 atm a — States of Matter and Gaseous State Chemistry Question
Question
[Four-digit Integer] For a van der Waal's gas, the critical pressure and temperature are 73.89 atm and 27°C, respectively. What is the volume (in ml) occupied by the molecules in a sample of gas containing its 24 moles?
Answer: 0250
💡 Solution & Explanation
$b=\frac{RT_c}{8P_c}=\frac{0.0821\times300}{8\times73.89}=0.04167$ L/mol. Excluded volume for 24 mol: $nb=24\times41.67=1000$ mL. Actual molecular volume $=nb/4=250$ mL (since $b=4\times$ actual vol). Answer: $\boxed{0250}$
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