Lesson Check if you know the basics of mixtures from Science
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<H2>Check if you know the basics of mixtures from Science</H2> <H3>Problem 1</H3>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)? <B>Solution</B> It is not an "in-row" regular word problem on mixtures. It is <U>SPECIAL</U>. 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 <U>DOES NOT lead to increasing volume</U>. 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). <pre> 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 {{{4000/103}}} = 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 (!) </pre> My other lessons on word problems for mixtures in this site are - <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Mixture-problems.lesson>Mixture problems</A> - <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/More-Mixture-problems.lesson>More Mixture problems</A> - <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Solving-typical-mixture-problems.lesson>Solving typical word problems on mixtures for solutions</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Word-problems-on-mixtures-for-antifreeze-solutions.lesson>Word problems on mixtures for antifreeze solutions</A> - <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Solving-typical-word-problems-on-mixtures-for-dry-substances-coffee-nuts.lesson>Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts</A> - <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Word-problems-on-mixtures-for-dry-substances-like-cookies-candies.lesson>Word problems on mixtures for dry substances like candies, dried fruits</A> - <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Word-problems-on-mixtures-for-dry-substances-like-soil-and-sand.lesson>Word problems on mixtures for dry substances like soil and sand</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Word-problems-on-mixtures-for-alloys.lesson>Word problems on mixtures for alloys</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Typical-word-problems-on-mixtures-from-the-archive.lesson>Typical word problems on mixtures from the archive</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Advanced-mixture-problems.lesson>Advanced mixture problems</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Advanced-mixture-problem-for-three-alloys.lesson>Advanced mixture problem for three alloys</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Unusual-word-problem-on-mixtures.lesson>Unusual word problem on mixtures</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Special-type-mixture-problems-on-DILUTION-adding-water.lesson>Special type mixture problems on DILUTION adding water</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Increasing-concentration-of-an-acid-solution-by-adding-pure-acid.lesson>Increasing concentration of an acid solution by adding pure acid</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Increasing-concentration-of-alcohol-in-solution-by-adding-pure-alcohol.lesson>Increasing concentration of alcohol solution by adding pure alcohol</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/How-many-kilograms-of-sand-must-be-added-to-a-mixture-of-sand-and-cement.lesson>How many kilograms of sand must be added to a mixture of sand and cement</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Draining-replacing-mixture-problems.lesson>Draining-replacing mixture problems</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/How-much-water-should-be-evaporated.lesson>How much water must be evaporated</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Advanced-problems-on-draining-and-replacing.lesson>Advanced problems on draining and replacing</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Using-effective-methodology-to-solve-many-steps-dilution-problems.lesson>Using effective methodology to solve many-steps dilution problems</A> - <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Entertainment-problems-on-mixtures.lesson>Entertainment problems on mixtures</A> - <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/OVERVIEW-of-lesson-on-word-problems-for-mixtures.lesson>OVERVIEW of lessons on word problems for mixtures</A> Use this file/link <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A> to navigate over all topics and lessons of the online textbook ALGEBRA-I.
