The amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the alcohol solution of 22 ml has a 12% of concentration. Therefore, the amount of alcohol in the solution is,
12% of 22ml = 2.64ml
Since the amount of alcohol should be the same while the concentration should be diluted, therefore, the amount of alcohol in the final solution can be written as,
[tex]11\%\ of\ x = 2.64{\rm\ ml}\\\\\dfrac{11}{100} \times x = 2.64\\\\x = 24\rm\ ml[/tex]
As the total solution with 12% concentration was 22 ml, while the total solution with 11% concentration was 24 ml.
Hence, the amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.
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