Question 3 You are asked to design a steel tank to store N2 at 150 K. The tank h

Question

Question 3

You are asked to design a steel tank to store N2 at 150 K. The tank has a volume of 40 m3, and you wish to store 1500 kg of N2.

a) Using the compressibility charts, what pressure will the N2 exert?

b) It turns out the tank has a maximum safe working pressure of 2000 kPa, but must operate with a safety factor of 4; that is the maximum working pressure should be a third of the maximum pressure the tank can withstand. How much N2 can be safely

stored in the tank?

c) Repeat the design using the RK Equation to determine the pressure, given that for N2:

a = 0.370 K0.5·m6·Pa·(g mol)-2 and b = 2.97 × 10-5 m3·(g mol)-1.

Explanation / Answer

A. from compressibility chart Z=0.58

from the formulaZ=PV/NRT

V=40,R=8.314,T=150

P=968.703 Newton/m2

B.Working stress=500kpa

Caluclating the moles of Nitrogen :27.65 Kmoles

Total nitrogen : 775 kg

c.Total moles is N=1500/28=53.57

Molar volume = 40/53.57=0.7467

Pressure is 1670.19389832.

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