Question

6 qt. of a 10% acid solution was mixed with 10 qt. of a 50% acid solution. Find the concentration of the new mixture.

A) 40%
B) 35%
C) 30%
D) 45%

Answer 1

To find the concentration of the new acid mixture, the amounts of acid from each solution are added together and divided by the total volume of the mixture. The result is a 35% concentration of acid in the new mixture.

Step-by-step explanation:

When 6 quarts of a 10% acid solution are mixed with 10 quarts of a 50% acid solution, we use the concept of weighted averages to find the concentration of the new mixture. We calculate the total amount of pure acid in both solutions and divide by the total volume of the mixture. The calculation is as follows:

• (6 qt. × 10%) + (10 qt. × 50%) = 0.6 qt. + 5 qt. = 5.6 qt.
• Total volume of the mixture = 6 qt. + 10 qt. = 16 qt.
• Concentration of the new mixture = (Total acid qt. / Total mixture qt.) × 100 = (5.6 qt. / 16 qt.) × 100 = 35%

Therefore, the correct answer is B) 35%.