The diagram below shows a circuit consisting of 3 distillation columns. There ar

Question

The diagram below shows a circuit consisting of 3 distillation columns. There are seven streams whose total mass flowrates are given as A, B, C, G. There are four (4) components in each stream, labelled 1 to 4. Xi,j represents the mass fraction of component iin stream j. Assume the system is operating at steady state with no reactions. 1.B 2,B 3, B 4,B 1,A 1.D 2 D 3.D. 4, D x, 2,A 3, A 4, A 1,E Question Completion Status 2, E 3, E 4, E 1, G 2, G 3, G 4, G Choose which of the following equations is a correct (valid) statement about some aspect of this system: None of or more than one of the above are correct.

Explanation / Answer

Since, all the streams are at steady state, so considering each individual component of the streams should not lose any mass.

Hence, considering only for stream 1, x1, A = x 1,B + x 1, E

x 1,B = x1,C + x 1,D

x 1, E = x 1,F + x1,G

So, x1,A- x1,B - x1,f - x1,G = (x 1,B + x 1, E) - x1,B - x1,f - x1,G = x 1,F + x1,G - x1,f - x1,G = 0

i.e. option 1 is the correct one.

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