6
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Question 6 • Quiz

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. Acidity Liters Acid Concentration Total x percent Acid 4 x 40 percent Acid 10 0 point 4 0 4 Mixture 14 0 point 3 0 What is the value of x , the acid concentration of the first solution?

Answer
A
0 point 1 5
B
0 point 1 0
C
0 point 0 5
D
0 point 2 0

Explanation

The amount of pure acid in the mixture is 14 × 0.30 = 4.2 liters. The 10 liters of 40% solution contribute 10 × 0.40 = 4 liters of acid, so the first solution contributes 4.2 − 4 = 0.2 liters. Since that solution has a volume of 4 liters, its concentration is 0.2 ÷ 4 = 0.05, or 5%. The correct choice is C, 0.05.

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