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 substance behaves as an ideal gas at the specified state. If the substance is determined as a real gas or non-ideal substance determine its compressibility factor Z.

To determine if a substance behaves as an ideal gas at a specified state, you can use the concept of the compressibility factor (Z). The compressibility factor is a measure of how closely a real gas deviates from ideal behavior.

To calculate the compressibility factor, you need to know the temperature, pressure, and the critical properties of the substance. The critical properties include critical temperature (Tc) and critical pressure (Pc).

For nitrogen (N2), the critical temperature is about -147.1 degrees Celsius and the critical pressure is about 3.39 MPa.

In this case, the given temperature (-100 degrees Celsius) is higher than the critical temperature of N2 (-147.1 degrees Celsius). Since the given temperature is below the critical temperature, it suggests that N2 is close to being a real gas because it is below its critical temperature.

To determine the compressibility factor (Z), you can use the following equation:

Z = Pv / RT

Where:
- Z is the compressibility factor
- P is the pressure
- v is the specific volume (inverse of density)
- R is the gas constant
- T is the temperature

Since the question only provides the temperature and pressure, we cannot directly calculate the compressibility factor without additional information. The density or specific volume of N2 is required.

To determine if N2 behaves as an ideal gas, you can compare its behavior to that of an ideal gas using estimations. Ideal gases have a compressibility factor close to 1, and they follow the ideal gas laws (like Boyle's law and Charles's law) over a wide range of temperatures and pressures.

In conclusion, based on the given information, we cannot directly determine the compressibility factor (Z) or if N2 behaves as an ideal gas without additional data such as the density or specific volume. However, based on the fact that the temperature is below the critical temperature, it suggests that N2 is close to being a real gas rather than an ideal gas.