Question

What quantity of 70% acetic acid solution must be mixed with a 21% acetic acid solution to produce 430.79 mL of a 69% solution?

a) 215.39 mL
b) 215.79 mL
c) 214.59 mL
d) 216.01 mL

Answer 1

To produce a 69% solution, approximately 422.14 mL of 70% acetic acid solution must be mixed with a 21% acetic acid solution.

Step-by-step explanation:

To solve this problem, we can use the equation:

(0.70)(x) + (0.21)(430.79 - x) = (0.69)(430.79)

Simplifying, we have: 0.7x + 0.21(430.79-x) = 0.69(430.79)

Expanding, we get: 0.7x + 90.2959 - 0.21x = 297.2591

Combining like terms, we have: 0.49x = 206.9632

Dividing both sides by 0.49, we get: x = 422.14 mL

Therefore, the quantity of 70% acetic acid solution that must be mixed with the 21% acetic acid solution is approximately 422.14 mL.