The compressibility factor is 1.1.
Temperature of Nitrogen = 288 K
Pressure of Nitrogen = 8mpa
The ideal gas law's departure is compensated for by the compressibility factor (Z). An equation of state or industry correlation based on the following relationship is used to compute the compressibility factor:
PV = ZRT
Z ~f (composition, P, T)
where,
Z = compressibility factor at P, T for a given composition.
P = absolute pressure.
T = temperature.
R = universal gas constant.
V = 
= (Z × 8.314 × 288) / 8 × 10⁷
= (299.30 × 10⁻⁷) Z m³/kg
The reduced temperature is the ratio of the temperature of the gas to its critical temperature. Similarly, the reduced pressure is the ratio of the gas pressure to its critical pressure as described in the following equations:

P – Absolute pressure of gas
T – Absolute temperature of gas
Tr – Reduced temperature
Pr – Reduced pressure
Tc – Critical temperature
Pc – Critical pressure

Z = 1.1 (from the compressibility chart)
V = 329.23 10⁻⁷ m³/kg
Therefore, the compressibility factor is 1.1.
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