Lesson Check if you know the basics of mixtures from Science

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Check if you know the basics of mixtures from Science

Problem 1

Three parts of liquid chlorine and two parts of salt are added to each 100 parts of water in a swimming pool.
How much chlorine is required if the pool contains 4000 L (including chemicals)?

Solution

            It is not an "in-row" regular word problem on mixtures.

            It is   SPECIAL. It is designed to check if you know the basics of mixtures from Science,
            and if you do not know them, then to teach you a bit.

            When the salt solution is of the low concentration, then dissolved salt practically DOES NOT lead to increasing volume.

            The masses of water and salt are summed, but the volumes do not.
            (Again, it is true for the low concentrated salt mixtures, which is exactly our case).

So, we should add 100 liquid parts of water and 3 parts of liquid chlorine:


    100 + 3 = 103 equal liquid parts (by volume).


But dissolving two parts of salt DOES NOT change the volume.


So, in 4000 liters of liquid in the pool we have   =  38.835 standard liquid volumes.


Hence, the chlorine volume required is  3*38.835 = 116.505 liters.


Notice, that NEITHER salt mass NOR the salt volume DO NOT PARTICIPATE in the solution of this problem (!)

My other lessons on word problems for mixtures in this site are
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts
    - Word problems on mixtures for dry substances like candies, dried fruits
    - Word problems on mixtures for dry substances like soil and sand
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problems
    - Advanced mixture problem for three alloys
    - Unusual word problem on mixtures

    - Special type mixture problems on DILUTION adding water
    - Increasing concentration of an acid solution by adding pure acid
    - Increasing concentration of alcohol solution by adding pure alcohol
    - How many kilograms of sand must be added to a mixture of sand and cement
    - Draining-replacing mixture problems
    - How much water must be evaporated
    - Advanced problems on draining and replacing
    - Using effective methodology to solve many-steps dilution problems

    - Entertainment problems on mixtures

    - OVERVIEW of lessons on word problems for mixtures

Use this file/link ALGEBRA-I - YOUR ONLINE TEXTBOOK to navigate over all topics and lessons of the online textbook ALGEBRA-I.

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