Approximately 169 ml of solution must be added to make the concentration percentage 83%.
This is about the concentration of solutions. The concentration of a solution can be determined by volume of acid/total volume.
Here we are given,
Volume of acid = 125 ml
Current concentration Percentage = 60% acid solution
Concentration to be obtained = 83%
Let us suppose, to make the concentration level up to 83%, the amount of pure acid to be added be 'x'
We want to find x such that C(x) = 83% or 0.83
Thus, [tex]\frac{x + 0.6(125)}{x + 125}[/tex] = 0.83
Since, the x can not be zero, so it must be a positive number. So, to find this, we multiply (x + 125) on both sides or even by cross-multiplication,
We get,
x + 0.6(125) = 0.83 (x + 125)
x + 75 = 0.83x + 103.75
0.17x - 28.75 = 0
0.17x = 28.75
x = 169.11
Hence, approximately 169 ml of pure acid must be added to obtain a concentration solution of 83% acid.
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