SOLUTION: A laboratory technician needs to make a 20 L batch of a 40% acid solution. how can a laboratory technician combine a batch of an acid solution that is pure acid with another that i

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Question 1165108: A laboratory technician needs to make a 20 L batch of a 40% acid solution. how can a laboratory technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration.
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
More generalized, M liter quantity of T % material to be made from L % material and H % material.

You have variables assigned as
M = 20 liters
T = 40 %
L = 20 %
H = 100%
and you can assign
v, how much of the pure, 100% material to use.

highlight_green%28Hv%2BL%28M-v%29=TM%29
-
Hv%2BLM-Lv=TM
%28H-L%29v=TM-LM
highlight%28v=M%28%28T-L%29%2F%28H-L%29%29%29

Now substitute your given values and evaluate v. Use this to evaluate M-v.