Respuesta :
Answer: 8 L of 100% pure acid and 64 L of 10% acid must be combined
Step-by-step explanation:
According to the dilution law,
[tex]C_1V_1+C_2V_2=C_3V_3[/tex]
where,
[tex]C_1[/tex] = concentration of pure acid solution = 100 %
[tex]V_1[/tex] = volume of pure acid solution = x L
[tex]C_2[/tex] = concentration of another acid solution= 10%
[tex]V_2[/tex] = volume of another acid solution= (72-x) L
[tex]C_3[/tex] = concentration of resulting acid solution = 20 %
[tex]V_1[/tex] = volume of resulting acid solution = 72 L
Putting the values in the equation:
[tex]100\times x+10\times (72-x)=20\times 72[/tex]
[tex]x=8L[/tex]
Therefore, the laboratory technician must take 8 L of 100% pure acid and (72-8) = 64 L of 10% acid to get 72-liter batch of a 20% acid solution.