JEE Advanced levelOne or more correct optionsDifficulty 3 of 3rg209
Using the van der Waals constants of two gases, M (a=1.36, b=0.0318) and N (a=4.17, b=0.0371), in L2atmmol−2 and Lmol−1, with R=0.0821LatmK−1mol−1, which statements are correct?
ATc of M is about 154K
BTc of N is about 405K
CPc of M is about 49.8atm
DVc of N is smaller than Vc of M
Answer: A, B, C
Tc=8a/27Rb: M gives 8×1.36/(27×0.0821×0.0318)=154.3K (A true); N gives 8×4.17/(27×0.0821×0.0371)=405.6K (B true). Pc(M)=a/27b2=1.36/(27×0.03182)=49.8atm (C true). Vc=3b is larger for N (D false).