Question

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Answer 1

Answer 2

Mass balance/Molasses at first point:

0.1250m₁ = .1250m₂ + .1250m₃

Mass balance/White Sugar at first point:

0.8750m₁ = 0.8750m₂ + 0.1250m₃

Mass balance/Molasses at crystallizer:

0.1250m₂ = 0.0160m₅ + m₄

Mass balance/White sugar at crystallizer:

0.875m₂ = 0.984m₅

Mass balance/Molasses at mixing point:

0.1250m₃ + 0.016m₅ = 0.06m₆

Mass balance/White sugar at mixing point:

0.875m₃ + 0.984m₅ = 0.94m₆

Overall Mass balance/Molasses:

0.1250m₁ = 0.06m₆ + m₄

Overall Mass balance/White Sugar:

0.8750m₁ = 0.94m₆

If m₆ = 350 g/min

0.875m₁= 0.94*350

m₁ = 376 g/min

To get m₄:

0.1250m₁ = 0.06m₆ + m₄

0.1250(376) = 0.06(350) + m₄

m₄ = 47 - 21 = 26 g/min = m₄

m3/m1 = ?

0.1250(m₁-m₃) = 0.0160m₅ + 26

0.1250(376-m₃) = 0.0160m₅ + 26

21 - 0.125m₃ = 0.016m₅

m₅ = 1312.5 - 7.8125m₃

0.875m₃ + 0.984m₅ = 0.94(350)

0.875m₃ + 0.984m₅ = 329

0.875m₃ + 0.984(1312.5 - 7.8125m₃) = 329

0.875m₃ + 0.984(1312.5 - 7.8125m₃) = 329

0.875m₃ + 1291.5 - 7.6875m₃ = 329

6.8125m₃ = 962.5

m₃ = 141.2844 g/min

m₃/m₁ = 141.2844/376 = 37.58% = m₃/m₁