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A chemist wishes to mix a solution that is 12​% acid. She has on hand 14 liters of a 6​% acid solution and wishes to add some 16​% acid solution to obtain the desired 12​% acid solution. How much 16​% acid solution should she​ add?

Respuesta :

Answer:

25 liters of the 16% solution should be added.

Step by Step Explanation:

pure acid amount + pure acid amount = total pure acid amount

So,

0.02*10 + 0.16*x = 0.12*(10+x)    

0.02*10 + 0.16x = 0.12*10 + 0.12*x

0.16*x - 0.12*x = 0.12*10 - 0.02*10

(0.16 - 0.12)*x = 0.12*10 - 0.02*10

x = (0.12*10-0.02*10)/(0.16-0.12)=25

Check:   (0.2*10+0.16*25)/(10+25) = 0.12 = 12% of concentration of the final mixture.   ! Correct !

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