If you diluted 230 ml of 8% benzocaine lotion to 5%, how much could you produce?
you are diluting it 8/5 times, or 1.6 times.
You could make 230*1.6 ml of 5 percent lotion.
To determine how much of the 5% benzocaine lotion you can produce from diluting the 8% benzocaine lotion, we need to use the concept of dilution.
Dilution is a process of reducing the concentration of a substance in a solution by adding more solvent or another less concentrated solution.
To solve this problem, we need to know the relationship between the volume, concentration, and amount of benzocaine in the solutions.
1. Calculate the amount of benzocaine in the original 8% benzocaine lotion:
- Concentration of benzocaine = 8%
- Volume of 8% lotion = 230 ml
To find the amount of benzocaine, we multiply the concentration by the volume:
Amount of benzocaine in 8% lotion = 8% x 230 ml = 0.08 x 230 ml = 18.4 ml
2. Calculate the volume of the 5% benzocaine lotion you can produce:
- Concentration of benzocaine = 5%
- We want to know the volume of 5% lotion
Let's assume the volume of the 5% lotion you can produce is V ml.
We can set up the following equation using the principle of conservation of mass:
Amount of benzocaine in 8% lotion = Amount of benzocaine in 5% lotion
18.4 ml = 5% x V ml
Now, we can solve for V:
V = 18.4 ml / (5%)
V = 18.4 ml / 0.05
V = 368 ml
Therefore, by diluting 230 ml of 8% benzocaine lotion to 5%, you can produce 368 ml of the 5% benzocaine lotion.
To calculate how much 5% benzocaine lotion you can produce from 230 ml of 8% benzocaine lotion, you can use the following formula:
(C1)(V1) = (C2)(V2)
Where:
C1 = Initial concentration of benzocaine lotion (8%)
V1 = Initial volume of benzocaine lotion (230 ml)
C2 = Final concentration of benzocaine lotion (5%)
V2 = Final volume of benzocaine lotion (what we need to calculate)
Using the formula, you can rearrange and solve for V2:
(8%)(230 ml) = (5%)(V2)
(0.08)(230 ml) = (0.05)(V2)
18.4 ml = 0.05(V2)
Divide both sides by 0.05 to solve for V2:
V2 = 18.4 ml / 0.05
V2 ≈ 368 ml
Therefore, you can produce approximately 368 ml of 5% benzocaine lotion by diluting 230 ml of 8% benzocaine lotion.