1 thermodynamics 30 0 points a cylindric tank contains a cryogenic bin

Question

1 Thermodynamics (30.0 Points)
A cylindric tank contains a cryogenic, binary mixture of nitrogen (index 1) and oxygen
(index 2). The tank has a diameter of d = 1.23 m and a height of h = 2.1 m. Due to process
data available to you, you know the mass of nitrogen M₁ = 5.84 kg and the mass of oxygen
M₂ = 13.68 kg inside the tank. The temperature of the mixture is T = -155.2 °C.
Given:
.
M; in kg
kmol
Nitrogen
28.01
Oxygen 32.00
Tki in K Pki in bar
126.2
33.9
154.6
50.5
A₁
B₁
Ci
0.040 6.99100 308.365 273.200
0.021 7.11477 370.757 273.200
وليا
Binary parameter for nitrogen/oxygen k12 = -0.0104
Universal gas constant R = 8314 kmol K
Antoine equation with the parameters A₁, B₁, C₁
log10 Pai = A₁ -
B₁
T+C₁
with T in °C, Psi in mbar
Tasks:
First, you want to know the state your mixture is in. For that purpose, you calculate the
pressure p using an equation of state.
1.) Calculate the mole fraction y₁ of nitrogen and the mole fraction y2 of oxygen in the
mixture and finally the molar volume of the mixture. (7.0 Points)