Question

Sylvia needs 110 mL of a 34% acid solution in order to complete an experiment in chemistry lab. She makes the 34% acid solution from a mixture of a 62% acid solution and a 21% acid solution. Find the volume of the 62 % acid solution that Sylvia uses to make the mixture.

Answer 1

Volume of
`62` % acid solution is
`34.878 mL`

Step-by-step explanation:

The total weight of
`34` % mixture containing
`62` % and
`21` % solutions
`= 110` mL

Let the weight of
`62` % solution is equal to
`X` mL

then the weight of
`21` % solution is equal to
`110-X` mL

Arranging the given conditions in the form of equation, we get -

`0.62 X + 0.21 (110 -X) = 0.34 * 110`

`0.62 X + 23.1 - 0.21 X = 37.4\\0.62 X - 0.21 X = 37.4 - 23.1\\X = (14.3)/(0.41) \\X = 34.878` mL

The volume of
`62` % acid solution is
`34.878 mL`