van der Waal's constant a and b for a gas are 4.0 atm l²/mol² and 0.05 l/mol, respectively. If 80 g — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

Moles $n = 80/16 = 5 \text{ mol}$. Pressure correction $= an^2/V^2 = 4.0 \times (5^2) / (10^2) = 100/100 = 1 \text{ atm}$ (A $\rightarrow$ Q). Volume correction (excluded volume) $= nb = 5 \times 0.05 = 0.25 \text{ L}$ (D $\rightarrow$ S). Ideal free volume $= V - nb = 10 - 0.25 = 9.75 \text{ L}$ (B $\rightarrow$ R). Actual volume physically occupied by the molecules themselves is $nb/4 = 0.25 / 4 = 0.0625 \text{ L}$ (C $\rightarrow$ P). Therefore, correct answer is 1-B, 2-C, 3-A, 4-D.