A continuous reaction requires a steady flow rate of ethylene. Ethylene is suppl

Question

A continuous reaction requires a steady flow rate of ethylene. Ethylene is supplied by a 54.3-L gas cylinder initially at 2200.0 psig and 25.0C. Once leaving the cylinder, a regulator reduces the pressure to 15.0 psig, and At this flow rate, how long would it take before the gas cylinder needs to be replaced (before the cylinder pressure reaches 15.0 psig)? Assume that the cylinder doesn't change temperature. Use the law of corresponding states and compressibility charts to describe ethylene within the cylinder. Atmospheric pressure is 1 atm. First, label the process flow diagram.

Explanation / Answer

Using Ideal gas eqaution; PV=nRT

P=Pressure, V=volume, n=no of moles, R= gas constant, T= tempertaure

n=PV/RT

P=2200 psig= 2200/14.69 = 149.76 atm ( 1 atm= 14.69 psig)

n initial = 149.76* 54.3/ 0.0821*298 = 332. 39 moles

n final, P= 15.0/14.69= 1.02 atm

n final= 1.02*0.0027/0.0821*298 = 0.0001 mole

delta n= 332.39- 0.0001= 332.3899 moles

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