Mass balance worksheet with answers

Free printable Mass balance worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
MixerStream 1150 kg/h · 25% NaOHStream 2300 kg/h · 5% NaOHStream 3x₃ = ? %

Two NaOH solutions are mixed at steady state. Find the mass fraction of NaOH in the outlet x3.

ṁ1 = 150 kg/hx1 = 25 %ṁ2 = 300 kg/hx2 = 5 %
x3 = %
2.Easy
MixerStream 1600 kg/h · 25% sugarStream 2550 kg/h · 20% sugarStream 3ṁ₃ = ? kg/h

Two sugar solutions are mixed at steady state. Find the outlet flow rate ṁ3.

ṁ1 = 600 kg/hx1 = 25 %ṁ2 = 550 kg/hx2 = 20 %
ṁ3 = kg/h
3.Medium
MixerStream 1200 kg/h · 50% NaOHStream 2ṁ₂ = ? · 20% NaOHProduct30% NaOH

How much of stream 2 must be added each hour to stream 1 so that the blended product contains 30% NaOH? Find ṁ2.

ṁ1 = 200 kg/hx1 = 50 %x2 = 20 %x3 = 30 %
ṁ2 = kg/h
4.Medium
MixerStream 1300 kg/h · 40% sugarStream 2ṁ₂ = ? · 10% sugarProduct15% sugar

How much of stream 2 must be added each hour to stream 1 so that the blended product contains 15% sugar? Find ṁ2.

ṁ1 = 300 kg/hx1 = 40 %x2 = 10 %x3 = 15 %
ṁ2 = kg/h
5.Hard
EvaporatorFeed F2400 kg/h · 18% sugarProduct PP = ? · 50%Vapour W (pure water)0% sugar

An evaporator concentrates a sugar solution by boiling off pure water. Find the product flow P in kg/h.

F = 2400 kg/hxF = 18 %xP = 50 %
P = kg/h
6.Hard
EvaporatorFeed F900 kg/h · 13% NaOHProduct PP = ? · 35%Vapour W (pure water)0% NaOH

An evaporator concentrates a NaOH solution by boiling off pure water. Find the product flow P in kg/h.

F = 900 kg/hxF = 13 %xP = 35 %
P = kg/h

Answer key

  1. 1. x3 = 11.67 %
  2. 2. ṁ3 = 1150 kg/h
  3. 3. ṁ2 = 400 kg/h
  4. 4. ṁ2 = 1500 kg/h
  5. 5. P = 864 kg/h
  6. 6. P = 334.3 kg/h

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