van der Waal's constant a and b for a gas are 4.0 atm l^2/mol^2 and 0.05 l/mol, respectively. If 80 β States of Matter and Gaseous State Chemistry Question
Question
van der Waal's constant a and b for a gas are 4.0 atm l^2/mol^2 and 0.05 l/mol, respectively. If 80 g of the gas (molecular mass = 16) is placed in a 10 l vessel at 300 K, then: Column I: (A) Pressure correction (in atm) (B) Ideal volume of gas (in L) (C) Actual volume occupied by molecules (in L) (D) Volume correction (in L) Column II: (P) 0.0625 (Q) 1 (R) 9.75 (S) 0.25
π‘ Solution & Explanation
$n=80/16=5$ mol. (A) Pressure correction $=an^2/V^2=4\times25/100=1$ atm β Q. (D) Volume correction $=nb=5\times0.05=0.25$ L β S. (B) Ideal (free) volume $=V-nb=10-0.25=9.75$ L β R. (C) Actual molecular volume $=nb/4=0.25/4=0.0625$ L (since $b=4\times$ actual mol vol) β P.