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Margarita [4]
3 years ago
10

A lab technician needs a 40% solution of a certain chemical for an experiment, but the lab that she works in only has a 20% solu

tion and a 50% solution in stock. in what ratio should she mix the 20% solution with the 50% solution in order to obtain the 40% solution that she needs?
Chemistry
1 answer:
Snezhnost [94]3 years ago
8 0

To determine the volume of both concentration of the solution to make another concentration of solution, we need to set up two equations since we have two unknowns. <span>

For the first equation, we do a mass balance:

mass of 50% solution + mass of 20% solution = mass of 40% solution
M1 + M2 = M3

For the second equation, we do a component balance,</span>

<span>
M1(50%) + M2(20%) = M3(40%)
.50M1 + .20M2 = .40M3

To determine the ratio, we assume we have to make a 100 g of the 40% solution. So, the equation would change to</span>

<span>
</span>

<span>M1 + M2 = 100</span>

.50M1 + .20M2 = (100)(.40) = 40


Solving for M1 and M2,

M1 = 66.67 g

M2 = 33.33 g


So, the ratio of the 20% and the 50% would be approximately 33.33/66.67 = 0.5.

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