A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. The table shows the amount of each solution used. A table titled Acidity, with Liters, Acid Concentration, ad Total. The first row is x percent acid, with 4, x, and blank. The second row shows 40 percent Acid, with 10, 0.40, and 4. The third row shows Mixture, with 14, 0.30, and blank. What is the value of x, the acid concentration of the first solution? 0.05 0.10 0.15 0.20

Question

Walter Wood

Mathematics

1 April, 13:46

A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. The table shows the amount of each solution used. A table titled Acidity, with Liters, Acid Concentration, ad Total. The first row is x percent acid, with 4, x, and blank. The second row shows 40 percent Acid, with 10, 0.40, and 4. The third row shows Mixture, with 14, 0.30, and blank. What is the value of x, the acid concentration of the first solution? 0.05 0.10 0.15 0.20

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Cordell Wilkerson · Answer 1

0.05

Step-by-step explanation:

Liters Acid Concentration Total

x percent acid 4 x -

40 percent Acid 10 0.40 4

Mixture 14 0.30 -

The total of the mixture is:

14*0.3 = 4.2

This total is the addition between the total of x percent acid and the total of 40 percent acid. Therefore:

total of x percent acid = 4.2 - 4 = 0.2

This total is computed as

total = liters*acid concentration

Therefore:

x = total/liters = 0.2/4 = 0.05

which means that the solution was 5 percent acid