College Algebra

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How many liters of 80% hydrochloric acid must be mixed with 40% hydrochloric acid to get 15 liters of 65% hydrochloric acid? Write your answer rounded to three decimals. Show all work.

  • College Algebra -

    Work with the total volume of HCl

    The amount of HCl in a liters of 80% acid is just .8a

    In b liters of 40% acid is .4b

    Total acid: .65*15
    Total volume: a+b

    .8a + .4b = 9.75
    a + b = 15

    .8a + .4b = 9.75
    .8a +.8b = 12

    .4b = 2.25
    b = 5.625 liters of 40% acid
    a = 9.375 liters of 80% acid

  • College Algebra -

    9.375

  • College Algebra -

    how much acid is in 50 liters of 80% solution

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