Gas cylinders, each containing 30 kg of a mixture of 75 mol% acetylene (C2H2) and balance N2 are available. How many cylinders are needed to produce 1.5 m3 of the gas mixture at 200 atm (abs) and 150°C?

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Gas cylinders, each containing 30 kg of a mixture of 75 mol% acetylene (C2H2) and balance N2 are available. How many cylinders are needed to produce 1.5 m3 of the gas mixture at 200 atm (abs) and 150°C?

Expert Solution
Step 1

Given information:

Mass of gas contained in 1 cylinder, m = 30 kg

Mole% of acetylene, xA = 75%

Mole% of nitrogen, xN = 25%

 

Volume of gas mixture needed, V = 1.5 m3 = 1500 L

Pressure of the gas mixture required, P = 20 atm

Temperature of the gas mixture required, T = 150°C = 423 K

Step 2

Let the gas mixture behave as an ideal gas. Apply an ideal gas equation to calculate the moles contained in the 1500 L gas mixture at 423 K and 200 atm. Use the value of universal gas constant (R) as 0.08206 (atm.L)/(mol.K).

Chemical Engineering homework question answer, step 2, image 1

Step 3

For 75 mol% acetylene and 25 mol% nitrogen, moles of acetylene and nitrogen present in 8642.7 moles of the gas mixture will be:

Chemical Engineering homework question answer, step 3, image 1

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