Question

According to the escience lab manual for lab 1, experiment 3, you need to prepare a 47 mL of a 24% soda/syrup prescription. To do this, you can use the 80% syrup solution and the 10% soda solution that you have in stock. How many mLs of soda solution do you need to create this final solution?

Answer 1

Answer:

33 mL  

Explanation:

It is important to recognize that the total amount of pure syrup remains constant:

Total syrup in the stock solution = total syrup in dilute solution

Thus, we can use the dilution formula

V₁c₁ = V₂ c₂

Data:

V₁ = ?;          c₁ = 80 %  

V₂ = 47 mL; c₂ = 24 %

Calculations:

1. The volume of stock syrup

$\begin{array}{rcl}V_{1}c_{1} & = & V_{2}c_{2}\\V_{1}\times80 \, \% & = & \text{47 mL}\times 24 \, \%\\80V_{1} & = & \text{1130 mL}\\V_{2}&=& \dfrac{\text{1130 mL}}{80}\\\\&=&\text{14 mL}\\\end{array}\\\text{You need \textbf{14 mL} of stock syrup.}$

2.  The volume of soda solution

Total volume of dilute solution =  47 mL

The volume of stock syrup        =  14

Volume of soda solution            = 33 mL

You need 33 mL of soda solution.