Question

Under critical states of a gas for one mole of a gas, compressibility factor is :
A. `3//8`
B. `8//3`
C. `1`
D. `1//4`

Answer 1

Correct Answer - A
For `1mol` of gas `Z = (P_(C)V_(C))/(RT_(C))` (Under critical condition)
But, `P_(C) = (a)/(27b^(2)) , V_(C) = 3b, T_(C) = (8a)/(27Rb)`
`:. Z = ((a)/(27b^(2))) xx (2b)/(R ) xx (27Rb)/(8a) = (3)/(8)`
Hence, (A)`.