for part a) can anyone provide the procedureto calculate the mole fraction, beca

Question

for part a) can anyone provide the procedureto calculate the mole fraction, because I am not sure how todo the derivative for it. thanks 10E(b). what proportions of benzene andethylbenzene should be mixed by mole fraction in order toachieve the greatest entropy of mixing? (no value aregiven in this question)   the correct answer is Xa =0.5, Xb=0.5. how to do this question !? what is the procedurefor it!? for part a) can anyone provide the procedureto calculate the mole fraction, because I am not sure how todo the derivative for it. thanks 10E(b). what proportions of benzene andethylbenzene should be mixed by mole fraction in order toachieve the greatest entropy of mixing? (no value aregiven in this question)   the correct answer is Xa =0.5, Xb=0.5. how to do this question !? what is the procedurefor it!? 10E(b). what proportions of benzene andethylbenzene should be mixed by mole fraction in order toachieve the greatest entropy of mixing? (no value aregiven in this question)   the correct answer is Xa =0.5, Xb=0.5. how to do this question !? what is the procedurefor it!?

Explanation / Answer

1 mole NaCl

3.57 g NaCl

x

---------------------

=

0.0611 mole NaCl

58.44 g NaCl

1 mole H2O

25.0 g H2O

x

---------------------

=

1.39 mole H2O

18.02 g H2O

Substitute these two quantities into the defining equation formole fraction.

0.0611 mol NaCl

XNaCl

=

--------------------

=

0.0421

(0.0611 + 1.39) mol solution

1.39 mole H2O

Xwater

=

--------------------

=

0.958

(0.0611 + 1.39) mol solution

Note that within the limits of the significant figuresthat XNaCl + Xwater = 1. The sum of themole fractions for a solution will equal 1. In our exampleabove, after we have calculated one mole fraction we could havesubtracted it from 1 to obtain the other.

moles of componenti Xi = ------------------------ total moles of solution

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