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forsale [732]
2 years ago
7

Consider a system of nitrogen with temperature of 288k and pressure of 8 mpa what is the compressibility factor?

Chemistry
1 answer:
Alla [95]2 years ago
5 0

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 = \frac{ZRT}{P}

                                 = (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:

T_r=\frac{T}{T_c} \\\\P_r=\frac{P}{P_c}

P – Absolute pressure of gas

T – Absolute temperature of gas

Tr – Reduced temperature

Pr – Reduced pressure

Tc – Critical temperature

Pc – Critical pressure

T_r= \frac{288}{126.2} = 2.3\\\\P_r = \frac{8}{3.39} = 2.3

Z = 1.1 (from the compressibility chart)

V = 329.23 10⁻⁷ m³/kg

Therefore, the compressibility factor is 1.1.

Learn more about  compressibility factor here:

brainly.com/question/13254691

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