Compressibility factor (Z) for a van der Waals real gas at critical point is

Options

A. (a)`3/8`
B. (b)`8/3`
C. (c )`8/27`
D. (d)`27/8`

Answer

A

Explanation

`T_(c )=(8a)/(27Rb), P_(c )=a/(27b^(2)), V_(c )=3b`
`(P_(c )V_(c ))/(RT_(c ))=Z=3/8`