Two solutions of salt water contain 0.06% and 0.26% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.1

Question

Two solutions of salt water contain 0.06% and 0.26% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.11% salt. How much of
each solution should she use?
Amount of 0.06% solution= milliliters
Amount of 0.26% solution=
milliliters

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Eden 2 weeks 2021-09-11T07:13:13+00:00 1 Answer 0

Answers ( )

    0
    2021-09-11T07:14:46+00:00

    Answer:

    The volume for the 0.26% is 250 ml and the volume for the 0.06% is 750 ml.

    Step-by-step explanation:

    In the solution the techinician wants to create there’s a total of:

    salt = 1*0.11/100 = 0.0011

    So the sum of the salt from the other two solutions must be equal to that, since the quantity of salt in each is given by:

    salt1 = volume1*0.06/100 = volume1*0.0006

    salt2 = volume2*0.26/100 = volume2*0.0026

    The sum of the from the two solutions must be equal to the final one:

    salt = salt1 + salt2

    0.0011 = 0.0006*volume1 + 0.0026*volume2

    while the volume of the solutions must be equal to 1 liter:

    volume1 + volume2 = 1

    If we isolate volume1 on the second equation and replace that on the first one we have:

    volume1 = 1 – volume2

    0.0006*(1 – volume2) + 0.0026*volume2 = 0.0011

    0.0006 – 0.0006*volume2 + 0.0026*volume2 = 0.0011

    0.002*volume2 = 0.0011-0.0006

    0.002*volume2 = 0.0005

    volume2 = 0.0005/0.002 = 0.25 liters = 250 ml

    volume1 = 1 – 0.25 = 0.75 liters = 750 ml

    The volume for the 0.26% is 250 ml and the volume for the 0.06% is 750 ml.

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