Answer:
Available mass of 19% acid after mixing is 4534.62 lb
Explanation:
Ww are given:
Available conc. acid = 78%
Available weak acid = 12.5%
Used mass of conc. acid = 450 lbs
We will first mix x lb of 12.5% acid with 450lb of 78% acid to get y lb of 19% acid.
Let's make use of the mass balance equation:
mass out = mass in
Therefore, we have:
x + 450 lb = y
making x subject of formula
= x= y - 450lb
Using the mass balance equation for the mass of acid, we have:
mass of acid out = mass of acid in
Therefore we have:
(12.5% of x)+(78%of 450 lb)=(19%ofy)
= 0.125x + 351 lb = 0.19y
Solving for x:
Substituting y-450 lb for x in the equation above, we have:
= 0.125(y-450lb)=0.19y - 351 lb
=0.125y- 56.25lb = 0.19y -351 lb
= 0.125y - 0.19y = -351 lb + 56.25lb
y =4534.62 lb