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how much water should be added to 10 mL of 7% alcohol solution to reduce the concentration to 5%?

Sagot :

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The volumes of the substances:
[tex]V_{water}=10 \ mL \\ V_{alcohol}= 10 \ mL \times 7\%=10 \ mL \times 0.07=0.7 \ mL[/tex]

x - the amount of water that should be added

[tex]\frac{0.7}{10+x}=5\% \\ \frac{0.7}{10+x}=0.05 \ \ \ \ \ \ \ \ \ \ \ |\times (10+x) \\ 0.7=0.05(10+x) \\ 0.7=0.5+0.05x \ \ \ \ |-0.5 \\ 0.2=0.05x \ \ \ \ \ \ \ \ \ \ \ |\times 20 \\ x=4[/tex]

4 mL of water should be added.
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