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An open empty tank (filled with atmospheric air at 27oC and 100 kPa) is filled with...

An open empty tank (filled with atmospheric air at 27oC and 100 kPa) is filled with liquid nitrogen as much as 14 kg quickly. After that, the tank is immediately closed and allowed to stand for a certain period of time. The tank is equipped with an open pipe manometer where the manometer fluid used is mercury (s.g. = 13.55). In the condition of the closed tank, the results of reading the manometer when it is constant shows that the difference in mercury surface height is 38 cm.

If it is assumed:
1. This system runs isothermal.
2. Nitrogen gas and air follow the ideal gas principle.
3. During the tank closing process, no nitrogen gas is lost.
4. Because liquid nitrogen intake and tank closure are fast, the volume of liquid nitrogen can be neglected meaning that at t = 0, the tank is considered to only contain air.
Therefore,
a. Determine the tank volume used!
b. Determine the number of moles of air in the tank!
c. Determine the specific gravity value of the gas mixture!

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