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30 December, 03:12

Doreen Schmidt is a chemist. She needs to prepare 28 ounces of a 12 % hydrochloric acid solution. Find the amount of 14 % solution and the amount of 7 % solution she should mix to get this solution.

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  1. 30 December, 03:56
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    20 ounces of 14% solution and 8 ounces of 7% solution.

    Explanation:

    Let the amount of 14% solution required be A and the amount of 7% solution required be B.

    Mixture of A and B must give 28 ounces:

    A + B = 28 ... Eqn 1

    Also, mixture of 14% A and 7% B must give 12%, 28 ounces solution:

    0.14A + 0.07B = 0.12 (28) = 3.36 ... Eqn 2

    From eqn 1, B = 28 - A, eqn 2 becomes:

    0.14A + 0.07 (28 - A) = 3.36

    0.07A = 3.36 - 1.96

    A = 20 ounces

    Substitute the value of A into eqn 1 to get B:

    20 + B = 28

    B = 8 ounces.

    Hence, 20 ounces of 14% hydrochloric acid and 8 ounces of 7% hydrochoric acid should be mixed together in order to get 28 ounces of 12% solution.
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