(b)
According to ideal gas equation
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ pV = nRT$
$n =$ number of moles of gas
$then,\ \ \frac{pV}{nRT} = 1$
Therefore, the compressibility factor
$\ \ \ \ \ \ \ \ \ \ \ Z = \frac{pV}{nRT} = 1$
For an ideal gas. For real gas $Z$ may be either greater than one or less than one.