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04-03-2020
Chemistry

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a 25% alcohol solution is to be mixed with a 40% alcohol solution to obtain 18 liters of a 30% alcohol solution. How many liters of each solution should be used

Respuesta :

05-03-2020

Answer : The volume of solution used should be, 12 L

Explanation :

Let the volume of solution be, x

Thus the equation will be:

[tex]25\%\times (x)+40\%\times (18-x)=30\%\times (18)[/tex]

Now solving the term 'x', we get:

[tex]\frac{25}{100}\times (x)+\frac{40}{100}\times (18-x)=\frac{30}{100}\times (18)[/tex]

[tex]0.25\times (x)+0.4\times (18-x)=0.3\times (18)[/tex]

[tex]0.25x+7.2-0.4x=5.4[/tex]

[tex]-0.15x=-1.8[/tex]

[tex]0.15x=1.8[/tex]

[tex]x=12[/tex]

Thus, the volume of solution used should be, 12 L

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