What occurs to the concentration of a salt solution of 79*mL79mL volume if 10*mL10mL of solution are discarded?

2 Answers
Oct 22, 2017

You only change the volume of the solution.....

Explanation:

By definition, "concentration"-="moles of solute"/"volume of solution"concentrationmoles of solutevolume of solution....

And after the solution has been prepared it is homogeneous, and has the SAME CONCENTRATION whatever the volume.

And so remaining are 79*mL79mL of precisely the same concentration as the 10*mL10mL that were discarded. Of course you reduce the molar quantity, but NOT its concentration.

Oct 22, 2017

See below.

Explanation:

Keep this formula in mind;

MV=nMV=n,

where MM is the molarity of solution in "mol solute"/"Liters solution " ((mol)/L)mol soluteLiters solution (molL), VV is the volume in "Liters " (L)Liters (L), and nn is the amount of solute in "moles "(mol)moles (mol).

Also, know this formula:

M_1V_1=M_2V_2M1V1=M2V2,

where the terms on the left represent the initial values, and the terms on the right are the calculated final volume and molarity values.

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Now, let's begin with the actual solution. Since we are given that 1010 mL are lost from the initial to final volume, let's plug the given values into the second equation mentioned above:

M_1V_1=M_2V_2M1V1=M2V2

(0.20" M")(89" mL")=(x)(89-10" mL")(0.20 M)(89 mL)=(x)(8910 mL)

Now, our job is to solve for xx, the new concentration.

x=((0.20" M")(89" mL"))/(89-10" mL")x=(0.20 M)(89 mL)8910 mL

x=0.22" M"x=0.22 M

Therefore, the concentration of the solution color(red)("increases")increases.

Now, let's see about the moles:

n=MVn=MV

First, we will be calculating the initial amount of moles "NaOH"NaOH present in solution:

n=(0.20" M")(89" mL "*(1" L")/(10^3" mL"))n=(0.20 M)(89 mL 1 L103 mL)

color(blue)(n=0.0178" mol")n=0.0178 mol

Now, let's calculate the mole amount after the 10" mL"10 mL has been removed:

n=MVn=MV

n=(0.22" M")(89-10" mL" * (1" L")/(10^3" mL"))n=(0.22 M)(8910 mL1 L103 mL)

color(blue)(n=0.174" mol")n=0.174 mol

Therefore, as you can see comparing the two blue values, the number of moles in solution actually color(red)("increased")increased slightly from the original solution after the 10" mL"10 mL was removed.

I hope that helps!