JEE Advanced levelOne or more correct optionsDifficulty 3 of 3rg175
The compressibility factor Z of a gas is 0.9800 at 10.0atm and 300K and the dependence is linear in P in this region (R=0.0821LatmK−1mol−1). Which statements are correct?
AAt 20.0atm and 300K, Z is about 0.960
BThe slope dZ/dP is −2.00×10−3atm−1
CThe second virial coefficient B=(dZ/dP)RT is about −49mLmol−1
DDoubling the pressure doubles the molar volume
Answer: A, B, C
Linear with intercept 1: slope =(0.9800−1)/10.0=−2.00×10−3atm−1 (B true). At 20.0atm: Z=1−0.040=0.960 (A true). B=−2.00×10−3×24.63=−0.0493Lmol−1≈−49mLmol−1 (C true). Doubling P roughly halves Vm (D false).