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Mass Balance Problem

Please see the attached file for full problem description.

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Q1. Starting with a pulp with a water content of 99%, how much water must be removed to obtain one ton of paper containing 60% water?

Solution.
Water removed

Pulp 1-ton paper
99 % H20 60% H20

Basis: 100 ton of paper

Let x represent the pulp used to produce paper
Let y represent the paper created by the pulp.
Let w represent the water removed by the evaporator.

X = W +Y
(99/100) X = W(0) + 1(60/100)
X = 0.60

Substitute into equation to calculate the amount of water removed.

0.60 = W + 1
0.40 = W

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