Question

The following chemical reaction occurs in a reactor: A + 3B ? 2C It is known...

The following chemical reaction occurs in a reactor:

A + 3B ? 2C

It is known that such process has a conversion of 20% for compound A. The reactor’s feed contains 25 wt% of A and 75 wt% of B, and has a mass flow of 1000 kg/h. The molecular weights for A and B are 28 and 2, respectively.

a) What is the molecular weight of C?

b) What is the composition (in wt%) of the output stream?

Engineering   Chemical-Engineering   
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Homework Answers

Answer #1

mass flow of feed = 1000 kg/h

Mass of A in feed = 1000 x 0.25 = 250 kg/h

Mass of B = 1000 x 0.75 = 750 kg/h

Moles of A = 250/28 = 8.928 kmol

Moles of B = 750/2 = 375 kmol

A is limiting reactant

Moles of A consumed = 8.928*0.20 = 1.7856 kmol

Moles of A remain in the outlet = 7.1424 kmol

Mass of A remain = 7.1424 kmol x 28 kg/kmol

= 199.9872 kg

Moles of B consumed = 3*1.7856 = 5.3568 kmol

Moles of B remain in the outlet = 375 - 5.3568

= 369.6432 kmol

Mass of B remain = 369.6432 kmol x 2 kg/kmol

= 739.2864 kg

Moles of C formed = 2*1.7856 = 3.5712 kmol

Mass of C formed = 1000 - 739.2864 - 199.9872

= 60.7264 kg

Molecular weight of C = 60.7264 kg / 3.5712 kmol

= 17 kg/kmol

Total Mass in outlet = 199.9872 + 739.2864 + 60.7264

= 1000 kg

In the outlet

Mass % A = 199.9872*100/1000 = 19.99% = 20%

Mass % B = 739.2864 *100/1000 = 73.93%

Mass% C = 60.7264*100/1000 = 6.07

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