document.write( "Question 1196702: Mike wants to make 10 ml of a 69% sugar solution by mixing together a 25% sugar solution and a 80% sugar solution. How much of each solution must he use? \n" ); document.write( "
Algebra.Com's Answer #829655 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Any chemist,  familiar with the subject  (and any person familiar with  Science)  will tell you, \r
\n" ); document.write( "\n" ); document.write( "looking into the solution by @josgarithmetic,  that this solution is  INCORRECT.\r
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\n" ); document.write( "\n" ); document.write( "It is because at such high concentrations,  as given in this problem,  the volume of the mixture\r
\n" ); document.write( "\n" ); document.write( "increases as you dissolve more sugar in it.\r
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\n" ); document.write( "\n" ); document.write( "In this respect,  the sugar mixtures are  DIFFERENT  from  (behave differently than)  salt mixtures.\r
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\n" ); document.write( "\n" ); document.write( "Therefore,  in general,  it is not recommended in  Science to give such problems with high concentration \r
\n" ); document.write( "\n" ); document.write( "to students to solve,  because real behavior of mixtures in such cases is  NON-LINEAR - - - and  significantly  NON-LINEAR.\r
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\n" ); document.write( "\n" ); document.write( "Those who know the subject,  also know that it is  BAD  STYLE  and a  SIGN  of  ILLITERACY  to give to students\r
\n" ); document.write( "\n" ); document.write( "such questions/assignments with high concentrations,  where and when real behavior of mixtures is non-linear.\r
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\n" ); document.write( "\n" ); document.write( "For low concentrations  (till 10%),  the linear behavior assumption is still admissible
\n" ); document.write( "and can be used without a risk to bring shame.\r
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\n" ); document.write( "\n" ); document.write( "At this forum,  there was only one tutor @KMST,  who adequately knew this subject and defended the same position,
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\n" ); document.write( "\n" ); document.write( "What I described in this my post,  is the info from any classic textbook/handbook
\n" ); document.write( "on mixtures,  but I have no a reference at my hands.\r
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\n" ); document.write( "\n" ); document.write( "Instead,  I found a relevant info in the Internet from a knowledgeable amateur,  which  I  place below.\r
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document.write( "      |    Does adding sugar to water change its volume?     |\r\n" );
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document.write( "https://www.quora.com/Does-adding-sugar-to-water-change-its-volume\r\n" );
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document.write( "              - - - - Frank van Wensveen answers - - - - \r\n" );
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document.write( "    I have done several tests with various types of sugars \r\n" );
document.write( "         (beet/cane/table sugar, dextrose sugar, dry malt extract) and they are all \r\n" );
document.write( "          identical to each other within a few percent.\r\n" );
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document.write( "    The long and the short of it is that \r\n" );
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document.write( "        EVERY 1000 GRAMS OF SUGAR, WHEN DISSOLVED IN WATER, \r\n" );
document.write( "        DISPLACES ABOUT 500mL OF WATER. \r\n" );
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document.write( "        (I.e. every gram of sugar displaces half its weight in water.)\r\n" );
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document.write( "    In other words, if you have 3 litres of water and you dissolve one kg of sugar into it, \r\n" );
document.write( "    you end up with 3,5 litres of total volume of the solution.\r\n" );
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document.write( "       - - - - end of the Frank van Wensveen' answer - - - - \r\n" );
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\n" ); document.write( "\n" ); document.write( "The Physical cause, why the behavior of salt solutions and sugar solution is so different
\n" ); document.write( "is the fact that their molecules are different:\r
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\n" ); document.write( "\n" ); document.write( "the salt molecule  NaCl  is a compact molecule consisting of two atoms,  only,  while \r
\n" ); document.write( "\n" ); document.write( "the sugar molecule  \"C%5B12%5DH%5B22%5DO%5B11%5D\"  is huge molecule of big volume, consisting of 12+22+11 = 45 atoms.\r
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\n" ); document.write( "\n" ); document.write( "- - - End of my post. - - - \r
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