What is the concentration in molarity of S2O32- (aq) in a solution prepared by mixing 300 mL of 0.162 M Na2S2O3 (aq) with enough 0.126 M KCl (aq) to make a 350.0 mL solution? (Assume volumes are additive and that no chemical reactions take place.)

1 Answer
Feb 23, 2018

[Na_2C_2O_3]_"final"[Na2C2O3]final = 0.139M0.139M

Explanation:

If no reaction takes place (which is true in the case noted), you're simply diluting the concentrate to (30/35)th of it's original concentration to give a (30)/(35)xx0.162M3035×0.162M = 0.139M Solution of Na_2S_2O_3Na2S2O3.

In solution, the thiosulfate ion concentration will be equal to the final concentration of the diluted sodium thiosulfate because it's a 1 to 1 ionization ratio. That is,

Na_2S_2O_3Na2S2O3 => 2Na^+(aq)2Na+(aq) + S_2O_3^(2-)(aq)S2O23(aq)
("1 mole")(1 mole)color(white)(xxxx)("2 mole")××(2 mole)color(white)(xxx)("1 mole")×x(1 mole)

For determining concentration of diluted solution, one may also use 'The Dilution Equation' => Molarity x Volume of Concentrated Solution = Molarity x Volume of Diluted Solution, or ...

(Molarity xx Volume)_"concentrate"(Molarity×Volume)concentrate

= (Molarity xx Volume)_ "diluted"(Molarity×Volume)diluted

(0.162M)(300ml)(0.162M)(300ml) = [ S_2O_3^(2-)]"(350ml)"[S2O23](350ml)

=> [S_2O_3^(2-)][S2O23] = (0.162M)(300cancel(ml))/(350cancel(ml)) = 0.139M