Answer to Question #132279 in General Chemistry for khaled

Question

a 45% solution is mixed with 20 liters of pure water to form a 30% solution, how many liters of the original solution did we start with?

Answer 1

we take the volume of the initial solution as x. the melting mass is 0.45 x. 20 liters of water is added to the solution. the volume of the solution is equal to x+20. the melting mass is 0.45 x. now through the equation we find the volume of the initial solution, that is, x.

equation:

0.45 x/(x+20)=0.3

0.45x=0.3x+6

0.15x=6

x=40

(since the density of the solution was not given, conditionally the density of the solution was taken 1g/cm³)

the answer is 40 liters.