JEE Advanced levelOne or more correct optionsDifficulty 3 of 3rg165
A gas has second virial coefficient B=−80mLmol−1 at 300K (R=0.0821LatmK−1mol−1). Neglecting higher terms, which statements are correct?
AAt 5.0atm the compressibility factor is about 0.984
BThe pressure at which Z=0.950 is about 15.4atm
CIf the gas obeyed B=b−a/RT with b=0.040Lmol−1, then a would be about 2.96L2atmmol−2
DThe gas is above its Boyle temperature
Answer: A, B, C
Z=1+BP/RT=1−0.080×5.0/24.63=1−0.0162=0.9838 (A true). For Z=0.950: P=(Z−1)RT/B=(−0.050)(24.63)/(−0.080)=15.39atm (B true). a=RT(b−B)=24.63×(0.040+0.080)=2.956 (C true). B is negative, so the gas is below TB (D false).