Shanice wants to make a 72% alcohol solution. She has already poured 2 L of pure water into a beaker. How many L of a 90% alcoho
l solution must she add to this to create the desired mixture?
1 answer:
Answer:
8 Liters
Step-by-step explanation:
Percentage of Alcohol in water= 2L X 0 =0
Percentage of Alcohol to be added = xL X 0.9 =0.9x
- New Volume =(x+2) Liters
- Desired Concentration = 0.72%
Therefore:
0+0.9x=0.72(x+2)
0.9x=0.72x+1.44
Collect like terms
0.9x-0.72x=1.44
0.18x=1.44
Divide both sides by 1.44
x=8 Liters
Therefore, Shanice must add 8 Liters of 90% alcohol solution to create the desired mixture
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