A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57% hydrogen per

Question

A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57% hydrogen peroxide to make the desired solution?

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Huyền Thanh 5 days 2021-07-18T23:16:20+00:00 1 Answers 0 views 0

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    2021-07-18T23:17:35+00:00

    Answer:

    16 mls of the 75% solution and 20 mls of the 0.57% solution.

    Step-by-step explanation:

    Set up a system of equations:

    Let x = volume of 75% solution and y be volume of 57% solution

    0.75x + 0.57y = 36*0.65

    0.75x + 0.57y = 23.4…….(1)

    x + y = 36………(2)

    From equation (2):

    y = 36 – x

    Substituting this into equation(1):

    0.75x + (0.57(36 – x) = 23.4

    0.75x + 20.52 – 0.57x = 23.4

    0.18x = 23.40 – 20.52 = 2.88

    x = 2.88/0.18

    x = 16

    so from equation (2): y = 36-16 = 20.

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