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 1200 kg/h · 20% sugarStream 2750 kg/h · 15% sugarStream 3ṁ₃ = ? kg/h

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

ṁ1 = 200 kg/hx1 = 20 %ṁ2 = 750 kg/hx2 = 15 %
ṁ3 = kg/h
2.Easy
MixerStream 1250 kg/h · 35% sugarStream 2950 kg/h · 40% sugarStream 3x₃ = ? %

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

ṁ1 = 250 kg/hx1 = 35 %ṁ2 = 950 kg/hx2 = 40 %
x3 = %
3.Medium
MixerStream 1700 kg/h · 30% NaOHStream 2ṁ₂ = ? · 10% NaOHProduct20% NaOH

How much of stream 2 must be added each hour to stream 1 so that the blended product contains 20% NaOH? Find ṁ2.

ṁ1 = 700 kg/hx1 = 30 %x2 = 10 %x3 = 20 %
ṁ2 = kg/h
4.Medium
MixerStream 1800 kg/h · 20% sugarStream 2ṁ₂ = ? · 40% sugarProduct35% sugar

How much of stream 2 must be added each hour to stream 1 so that the blended product contains 35% sugar? Find ṁ2.

ṁ1 = 800 kg/hx1 = 20 %x2 = 40 %x3 = 35 %
ṁ2 = kg/h
5.Hard
EvaporatorFeed F1200 kg/h · 17% saltProduct PP = ? · 30%Vapour W (pure water)0% salt

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

F = 1200 kg/hxF = 17 %xP = 30 %
P = kg/h
6.Hard
EvaporatorFeed F4900 kg/h · 13% NaOHProduct P30% NaOHVapour W (pure water)W = ? kg/h

An evaporator concentrates a NaOH solution by boiling off pure water. Find the water evaporated W in kg/h.

F = 4900 kg/hxF = 13 %xP = 30 %
W = kg/h

Answer key

  1. 1. ṁ3 = 950 kg/h
  2. 2. x3 = 38.96 %
  3. 3. ṁ2 = 700 kg/h
  4. 4. ṁ2 = 2400 kg/h
  5. 5. P = 680 kg/h
  6. 6. W = 2777 kg/h

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