Question

Which of the following is the correct set of volume calculated by ideal gas equation and van der waals" equation respectively for $1 mol$ of $CO _{2}$ gas at $300\, K$ and 10 atm pressure. $\left(R=0.0821 \,L \,atm\, K ^{-1} mol ^{-1}\right)$

• A. 2.463 L , 2.56 L
• B. 2.463 L , 2.38 L
• C. 2.463 L , 2.463 L
• D. 2.463 L , 2.5 L

Answer 1

Answer: (B)

$V_{ I }=\frac{n R T}{P}$

$=\frac{1 \times 0.0821 \times 300}{10}=2.463\, L$

For $CO _{2},$ at $10\, atm .$

$Z < 1$

$\Rightarrow \frac{V_{R}}{V_{ I }} < 1$

$ \Rightarrow V_{ R } < V_{ I }$