Answer: 60 ml of the 65% mixture will you need to add to obtain the desired solution.
Explanation:
According to the dilution law,
[tex]C_1V_1+C_2V_2=C_3V_3[/tex]
where,
= concentration of given alcohol solution = 25 %
[tex]V_1[/tex] = volume of given alcohol solution = 100 ml
[tex]C_2[/tex] = concentration of another alcohol solution=65 %
[tex]V_2[/tex] = volume of another acid solution= x ml
[tex]C_3[/tex] = concentration of resulting alcohol solution = 40 %
[tex]V_3[/tex] = volume of resulting acid solution = (100+x)
[tex]25\times 100+65\times x=40\times (100+x)[/tex]
[tex]x=60ml[/tex]
Thus 60 ml of the 65% mixture will you need to add to obtain the desired solution.