how many liters of a 60% antifreeze solution must be added to 8L of a 10% antifreeze solution to produce a 20% antifreeze solution?

Respuesta :

Answer: 2Liters

Explanation:

The expression used will be :

[tex]M_1V_1+M_2V_2=M_3V_3[/tex]

where,

[tex]M_1[/tex] = concentration of first antifreeze= 60%

[tex]M_2[/tex] = concentration of second  antifreeze= 10%

[tex]V_1[/tex] = volume of first antifreeze = x L

[tex]V_2[/tex] = volume of second antifreeze = 8 L

[tex]M_3[/tex] = concentration of final antifreeze solution= 20%

[tex]V_3[/tex] = volume of final antifreeze = (x+8) L

Now put all the given values in the above law, we get the volume of  antifreeze added

[tex]60\times x+10\times 8=20\times (x+8)[/tex]

[tex]x=2L[/tex]

Therefore, the volume of 60% antifreeze solution that must be added is 2L