JEE Main levelNumerical answerDifficulty 2 of 3rg049
For nitrogen (a=1.39L2atmmol−2, b=0.0391Lmol−1) the second virial coefficient B=b−a/RT at 300K, in mLmol−1 (one decimal, R=0.0821LatmK−1mol−1), is
Numerical answer type, answer in mL/mol, tolerance 0.3.
Answer: -17.3 mL/mol
a/RT=1.39/(0.0821×300)=1.39/24.63=0.05644Lmol−1. B=0.0391−0.05644=−0.01734Lmol−1=−17.34mLmol−1, i.e. −17.3mLmol−1. The negative sign shows attraction dominates at 300K.