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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.

Respuesta :

Answer:

Volume of [tex]62[/tex] % acid solution is [tex]34.878 mL[/tex]

Explanation:

The total weight of [tex]34[/tex] % mixture containing [tex]62[/tex] % and [tex]21[/tex] % solutions [tex]= 110[/tex] mL

Let the weight of [tex]62[/tex] % solution is equal to [tex]X[/tex] mL

then the weight of [tex]21[/tex] % solution is equal to [tex]110-X[/tex] mL

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

[tex]0.62 X + 0.21 (110 -X) = 0.34 * 110[/tex]

[tex]0.62 X + 23.1 - 0.21 X = 37.4\\0.62 X - 0.21 X = 37.4 - 23.1\\X = \frac{14.3}{0.41} \\X = 34.878[/tex] mL

The volume of [tex]62[/tex] % acid solution is [tex]34.878 mL[/tex]

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