JEE Advanced levelOne or more correct optionsDifficulty 3 of 3rg218
For nitrogen at 300K, B=−4.5mLmol−1 and C=1100mL2mol−2. At a molar volume of 0.100Lmol−1 (i.e. 100mLmol−1), which statements are correct?
AThe B/Vm term contributes −0.045 to Z
BThe C/Vm2 term contributes +0.110 to Z
CZ is greater than 1 at this molar volume
DThe second virial term alone would predict Z less than 1
Answer: A, B, C, D
B/Vm=−4.5/100=−0.045 (A true). C/Vm2=1100/10000=0.110 (B true). Z=1−0.045+0.110=1.065, above 1 (C true). Using only B, Z=0.955, below 1 (D true). At high density the third virial term dominates.