Question

How many ml of cranberry juice is required to prepare a 10 ml 16% cranberry solution using a 20% cranberry stock solution?

Answer 1

8 mL of cranberry juice is required to prepare a 10 mL 16% cranberry solution using a 20% cranberry stock solution.

Step-by-step explanation:

Let the volume of the 20% cranberry stock solution be x

Volume of cranberry juice in x volume = 20% of x = 0.2 x

Desired volume of 16% cranberry solution = 10 mL

Volume of cranberry juice in 10 mL = 16% of 10 =
`(26)/(100)* 10 mL=1.6 mL`

Volume of cranberry juice in x volume = Volume of cranberry juice in 10 mL

0.2 x = 1.6 mL

x = 8 mL

8 mL of cranberry juice is required to prepare a 10 mL 16% cranberry solution using a 20% cranberry stock solution.

Answer 2

We can use the equation
c1v1 =c2v2
Where c1 and v1 are concentration and volumes of the concentrated solution
c2 and v2 are the concentration and volumes of the diluted solution
Since we haven’t been given the concentrations, we can use the percentage composition in place of concentration .
Substituting these values in the equation
20% x v1 = 16% x 10 mL
v1 = 8 mL
8 mL of the concentrated solution should be taken to make the diluted solution