Question 1196702
.


Any chemist,  familiar with the subject  (and any person familiar with  Science)  will tell you, 

looking into the solution by @josgarithmetic,  that this solution is  INCORRECT.


It is because at such high concentrations,  as given in this problem,  the volume of the mixture

increases as you dissolve more sugar in it.


In this respect,  the sugar mixtures are  DIFFERENT  from  (behave differently than)  salt mixtures.



Therefore,  in general,  it is not recommended in  Science to give such problems with high concentration 

to students to solve, &nbsp;because real behavior of mixtures in such cases is &nbsp;NON-LINEAR - - - and &nbsp;<U>significantly</U> &nbsp;NON-LINEAR.



Those who know the subject, &nbsp;also know that it is &nbsp;BAD &nbsp;STYLE &nbsp;and a &nbsp;SIGN &nbsp;of &nbsp;ILLITERACY &nbsp;to give to students

such questions/assignments with high concentrations, &nbsp;where and when real behavior of mixtures is non-linear.



For low concentrations &nbsp;(till 10%), &nbsp;the linear behavior assumption is still admissible 
and can be used without a risk to bring shame.



At this forum, &nbsp;there was only one tutor @KMST, &nbsp;who adequately knew this subject and defended the same position, 
but she rarely comes to the forum.



What I described in this my post, &nbsp;is the info from any classic textbook/handbook 
on mixtures, &nbsp;but I have no a reference at my hands.


Instead, &nbsp;I found a relevant info in the Internet from a knowledgeable amateur, &nbsp;which &nbsp;I &nbsp;place below.



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<pre>
      +------------------------------------------------------+
      |    Does adding sugar to water change its volume?     |
      +------------------------------------------------------+


https://www.quora.com/Does-adding-sugar-to-water-change-its-volume


              - - - - Frank van Wensveen answers - - - - 


    I have done several tests with various types of sugars 
         (beet/cane/table sugar, dextrose sugar, dry malt extract) and they are all 
          identical to each other within a few percent.

    The long and the short of it is that 

        EVERY 1000 GRAMS OF SUGAR, WHEN DISSOLVED IN WATER, 
        DISPLACES ABOUT 500mL OF WATER. 

        (I.e. every gram of sugar displaces half its weight in water.)


    In other words, if you have 3 litres of water and you dissolve one kg of sugar into it, 
    you end up with 3,5 litres of total volume of the solution.



       - - - - end of the Frank van Wensveen' answer - - - - 
</pre>


The Physical cause, why the behavior of salt solutions and sugar solution is so different 
is the fact that their molecules are different:


the salt molecule &nbsp;NaCl &nbsp;is a compact molecule consisting of two atoms, &nbsp;only, &nbsp;while 

the sugar molecule &nbsp;{{{C[12]H[22]O[11]}}} &nbsp;is huge molecule of big volume, consisting of 12+22+11 = 45 atoms.


- - - End of my post. - - -