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 11000 kg/h · 30% NaOHStream 2900 kg/h · 20% NaOHStream 3x₃ = ? %

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

ṁ1 = 1000 kg/hx1 = 30 %ṁ2 = 900 kg/hx2 = 20 %
x3 = %
2.Easy
MixerStream 1250 kg/h · 5% saltStream 2500 kg/h · 25% saltStream 3x₃ = ? %

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

ṁ1 = 250 kg/hx1 = 5 %ṁ2 = 500 kg/hx2 = 25 %
x3 = %
3.Medium
MixerStream 1550 kg/h · 30% NaOHStream 2ṁ₂ = ? · 20% NaOHProduct25% NaOH

How much of stream 2 must be added each hour to stream 1 so that the blended product contains 25% NaOH? Find ṁ2.

ṁ1 = 550 kg/hx1 = 30 %x2 = 20 %x3 = 25 %
ṁ2 = kg/h
4.Medium
MixerStream 1200 kg/h · 30% saltStream 2ṁ₂ = ? · 10% saltProduct25% salt

How much of stream 2 must be added each hour to stream 1 so that the blended product contains 25% salt? Find ṁ2.

ṁ1 = 200 kg/hx1 = 30 %x2 = 10 %x3 = 25 %
ṁ2 = kg/h
5.Hard
EvaporatorFeed F3200 kg/h · 10% saltProduct PP = ? · 55%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 = 3200 kg/hxF = 10 %xP = 55 %
P = kg/h
6.Hard
EvaporatorFeed F1300 kg/h · 11% sugarProduct P40% sugarVapour W (pure water)W = ? kg/h

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

F = 1300 kg/hxF = 11 %xP = 40 %
W = kg/h

Answer key

  1. 1. x3 = 25.26 %
  2. 2. x3 = 18.33 %
  3. 3. ṁ2 = 550 kg/h
  4. 4. ṁ2 = 66.67 kg/h
  5. 5. P = 581.8 kg/h
  6. 6. W = 942.5 kg/h

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