N2 is described by its state properties of temperature @ -100 degree C, and Pressure @ 10.0 MPa. Determine if it is reasonable to assume that the given substances behaves as a real or non-ideal substance determine its compressibility factory Z.
To determine if N2 (nitrogen gas) behaves as a real or non-ideal substance at the given conditions, we need to determine its compressibility factor, denoted as Z.
The compressibility factor, Z, is a measure of how closely a gas behaves like an ideal gas. If Z = 1, the gas behaves ideally, and if Z ≠ 1, the gas deviates from ideal behavior.
To determine Z, we can use the generalized compressibility chart or equation of state, such as the Van der Waals equation or the Redlich-Kwong equation. These equations relate the compressibility factor to the temperature, pressure, and other properties of the gas.
In this case, we are given the temperature of -100°C and the pressure of 10.0 MPa for nitrogen gas (N2). We can convert the temperature to kelvin (K) using the equation T(K) = T(°C) + 273.15.
The next step is to calculate the reduced temperature (Tr) and reduced pressure (Pr). These values are obtained by dividing the actual temperature (T) and pressure (P) by the critical temperature (Tc) and critical pressure (Pc) of the gas, respectively. For nitrogen, the critical temperature is 126.2 K and the critical pressure is 3.39 MPa.
So, we have:
T = -100°C = -100 + 273.15 = 173.15 K
P = 10.0 MPa
Now, let's calculate the reduced temperature and reduced pressure:
Tr = T / Tc = 173.15 K / 126.2 K ≈ 1.37
Pr = P / Pc = 10.0 MPa / 3.39 MPa ≈ 2.95
Finally, to determine if nitrogen gas behaves as a real or non-ideal substance, we need to compare the calculated values of Tr and Pr with the corresponding values from the compressibility charts or equations of state for nitrogen gas.
Based on the calculated values of Tr and Pr, it is reasonable to assume that nitrogen gas behaves as a non-ideal substance.
To determine the compressibility factor Z, you can refer to a compressibility chart specific to nitrogen gas or use an equation of state like the Van der Waals equation or Redlich-Kwong equation.
Please note that for a more accurate determination of Z, you may need additional information about the system, such as the molar volume or specific volume of the gas at the given conditions.