Question

Achemist wishes to mix a solution that is 10% acid She has on hand 6ters of a 8% acid solution and wishes to add some 14% acid solution to obtain the desired 10% acid solution. How much 16% acid solution should she add?Complete the tableLiters ofPure AcidLiters of Percent AcidSolution (as a decimal)60.080.140.10(Do not simply)

Answer 1

Given

A chemist wishes to mix a solution that is 8% acid.

She has on hand 8 liters of a 2% acid solution and wishes to add some 12% acid solution to obtain the desired 8% acid solution.

To find: How much 12% acid solution should she add?

Step-by-step explanation:

It is given that,

A chemist wishes to mix a solution that is 8% acid.

She has on hand 8 liters of a 2% acid solution and wishes to add some 12% acid solution to obtain the desired 8% acid solution.

Now, Let x be the liters of acid added to obtain the desired 8% acid solution.

Then,

`\begin{gathered} 8*2\%+x*12\%=8\%(8+x) \\ 8*(2)/(100)+x*(12)/(100)=(8)/(100)(8+x) \\ (16)/(100)+(12x)/(100)=(8(8+x))/(100) \\ 16+12x=64+8x \\ 12x-8x=64-16 \\ 4x=48 \\ x=(48)/(4) \\ x=12 \end{gathered}`

Hence, 12liters of acid is added to 12% acid solution.