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9 October, 12:46

In order to complete an experiment in chemistry lab, Sylvia needs to make a mixture of 130 mL of a 37% base solution from a 67% base solution and a 24% base solution. Find the volume of the 67% base solution that Sylvia needs to use to make the mixture.

Find the volume of the 67% Base solution.

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  1. 9 October, 15:07
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    The volume of the 67% Base solution is 39.30 mL

    Explanation:

    Let the volume of 67% base solution used to make the mixture = x mL

    Let the volume of 24% base solution used to make the mixture = y mL

    Total volume of the mixture = x + y = 130 mL ... (1)

    For 67% base solution:

    C₁ = 67%, V₁ = x mL

    For 10% base solution:

    C₂ = 24%, V₂ = y mL

    For the resultant base solution:

    C₃ = 37%, V₃ = 50 mL

    Using

    C₁V₁ + C₂V₂ = C₃V₃

    67*x + 24*y = 37*130

    So,

    67x + 24y = 4810 ... (2)

    Solving 1 and 2 we get,

    x = 39.30 mL

    y = 90.70 mL
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