A chemist has 3 liters of a 40% alcohol solution. How much should he pour out and then replace with pure alcohol to get 3 liters of a 75% alcohol solution?

Respuesta :

Given:

3 liter of a 40% alcohol solution.

[tex]\begin{gathered} =3\times\frac{40}{100} \\ =3\times0.4 \\ =1.2 \end{gathered}[/tex]

Then here 1.2 liter of alcohol.

3 liter of a 75% alcohol solution.

[tex]\begin{gathered} =3\times\frac{75}{100} \\ =2.25 \end{gathered}[/tex]

So 2.25 liter pure alcohol required in 3 liter of solution.

for add 2.25 liter alcohol solution

[tex]\begin{gathered} =2.25-1.2 \\ =1.05 \end{gathered}[/tex]

So the 1.05 liter alochol required to maintain the 75% alcohol solution.