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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Name: ____________________   Date: ____________

1.Easy
MixerStream 1650 kg/h · 40% NaOHStream 2100 kg/h · 30% NaOHStream 3ṁ₃ = ? kg/h

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

ṁ1 = 650 kg/hx1 = 40 %ṁ2 = 100 kg/hx2 = 30 %
ṁ3 = kg/h
2.Easy
MixerStream 1750 kg/h · 30% sugarStream 2950 kg/h · 20% sugarStream 3ṁ₃ = ? kg/h

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

ṁ1 = 750 kg/hx1 = 30 %ṁ2 = 950 kg/hx2 = 20 %
ṁ3 = kg/h
3.Medium
MixerStream 11000 kg/h · 10% saltStream 2ṁ₂ = ? · 40% saltProduct15% salt

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

ṁ1 = 1000 kg/hx1 = 10 %x2 = 40 %x3 = 15 %
ṁ2 = kg/h
4.Medium
MixerStream 1550 kg/h · 10% saltStream 2ṁ₂ = ? · 30% 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 = 550 kg/hx1 = 10 %x2 = 30 %x3 = 25 %
ṁ2 = kg/h
5.Hard
EvaporatorFeed F600 kg/h · 14% NaOHProduct P55% 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 = 600 kg/hxF = 14 %xP = 55 %
W = kg/h
6.Hard
EvaporatorFeed F1100 kg/h · 19% sugarProduct P65% 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 = 1100 kg/hxF = 19 %xP = 65 %
W = kg/h

Answer key

  1. 1. ṁ3 = 750 kg/h
  2. 2. ṁ3 = 1700 kg/h
  3. 3. ṁ2 = 200 kg/h
  4. 4. ṁ2 = 1650 kg/h
  5. 5. W = 447.3 kg/h
  6. 6. W = 778.5 kg/h

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