0.0125 gallons of 35% solution is needed.
Given that,
Eli wants to combine 0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid solution.
Eli decides to let v represent the volume of the 35% solution.
We have to find,
How many gallons of 35% solution is needed?
According to the question,
Eli decides to let v represent the volume of the 35% solution.
And 0.5 gallons of 10% acid solution,
the volume of the 15% acid solution is (v +0.5).
Therefore,
0.5 gallons of a 10% acid solution with a 35% solution to make a 15% acetic acid solution.
[tex]\rm = 0.5 \times \dfrac{10}{100} + v \times \dfrac{35}{100} = (v+0.5) \times \dfrac{15}{100}\\\\= 0.5 \times 0.01 + v \times 0.35 = (v+0.5) \times 0.15\\\\= 0.05 + 0.35v = 0.15v + 0.075\\\\= 0.35v - 0.15v = 0.075 -0.05\\\\= 0.20v = 0.025\\\\v = \dfrac{0.025}{0.20}\\\\v = 0.0125[/tex]
Hence, 0.0125 gallons of 35% solution is needed.
For more details refer to the link given below.
https://brainly.com/question/17177510
