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A laboratory technician needs to make a 36-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?

Respuesta :

Answer:

12 liters of pure acid with 24 liters of 10% acid solution

Step-by-step explanation:

Let us assume that x liters of pure acid is mixed with y liters of 10% acis solution.

Therefore, x+y =36 liters ....... (1)

Again the resulting acis solution is of 40% concentration.

Hence, [tex]\frac{x+0.1 y}{x+y}=\frac{40}{100}=0.4[/tex]

⇒ x+0.1y =0.4x +0.4y

⇒ 0.6x =0.3y

⇒ 2x =y .....(2)

Now, solving equations (1) and (2) we get,

3x =36, ⇒ x= 12 liters

And, from equation (2), we get y=2×12 =24 liters.

Therefore, the technician has to mix 12 liters of pure acid with 24 liters of 10% acid solution to get the requires solution. (Answer)

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