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 1300 kg/h · 25% NaOHStream 2300 kg/h · 30% NaOHStream 3x₃ = ? %

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

ṁ1 = 300 kg/hx1 = 25 %ṁ2 = 300 kg/hx2 = 30 %
x3 = %
2.Easy
MixerStream 1100 kg/h · 10% NaOHStream 2600 kg/h · 25% NaOHStream 3ṁ₃ = ? kg/h

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

ṁ1 = 100 kg/hx1 = 10 %ṁ2 = 600 kg/hx2 = 25 %
ṁ3 = kg/h
3.Medium
MixerStream 1750 kg/h · 5% NaOHStream 2ṁ₂ = ? · 30% 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 = 750 kg/hx1 = 5 %x2 = 30 %x3 = 25 %
ṁ2 = kg/h
4.Medium
MixerStream 1400 kg/h · 20% saltStream 2ṁ₂ = ? · 40% saltProduct30% salt

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

ṁ1 = 400 kg/hx1 = 20 %x2 = 40 %x3 = 30 %
ṁ2 = kg/h
5.Hard
EvaporatorFeed F3200 kg/h · 11% NaOHProduct P45% 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 = 3200 kg/hxF = 11 %xP = 45 %
W = kg/h
6.Hard
EvaporatorFeed F4400 kg/h · 17% sugarProduct PP = ? · 30%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 = 4400 kg/hxF = 17 %xP = 30 %
P = kg/h

Answer key

  1. 1. x3 = 27.5 %
  2. 2. ṁ3 = 700 kg/h
  3. 3. ṁ2 = 3000 kg/h
  4. 4. ṁ2 = 400 kg/h
  5. 5. W = 2418 kg/h
  6. 6. P = 2493 kg/h

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