What would the concentration be if we mixed 200 of 10% sugar solution and 300 of 20% sugar solution ?
x(500) = .1(200) + .2(300)
x = 80/500= .16
change my answer to a percent.
To find the concentration of the resulting mixture, we need to take into account the quantities and concentrations of the initial solutions.
Step 1: Calculate the amount of sugar in each solution:
For the 10% sugar solution:
Amount of sugar = 10% of 200 = 0.10 * 200 = 20 grams
For the 20% sugar solution:
Amount of sugar = 20% of 300 = 0.20 * 300 = 60 grams
Step 2: Calculate the total amount of sugar in the mixture:
Total amount of sugar = amount of sugar from 10% solution + amount of sugar from 20% solution
Total amount of sugar = 20 grams + 60 grams = 80 grams
Step 3: Calculate the total volume of the mixture:
Total volume of the mixture = volume of 10% solution + volume of 20% solution
Total volume of the mixture = 200 mL + 300 mL = 500 mL
Step 4: Calculate the concentration of the mixture:
Concentration of the mixture = (total amount of sugar / total volume of the mixture) * 100
Concentration of the mixture = (80 grams / 500 mL) * 100
Concentration of the mixture ≈ 16%
Therefore, the concentration of the resulting mixture would be approximately 16% sugar.
To find the concentration of the resulting solution when two solutions are mixed together, you need to calculate the weighted average of the concentrations.
Let's break down the problem:
- Solution A: 200 mL of 10% sugar solution
- Solution B: 300 mL of 20% sugar solution
To calculate the concentration of the resulting mixture, start by determining the mass of sugar in each solution using the formula:
mass of sugar = volume of solution × concentration of sugar
For Solution A:
mass of sugar in Solution A = 200 mL × 10% = 20 grams
For Solution B:
mass of sugar in Solution B = 300 mL × 20% = 60 grams
Next, find the total mass of sugar in both solutions by adding the masses of sugar in each solution:
total mass of sugar = mass of sugar in Solution A + mass of sugar in Solution B
total mass of sugar = 20 grams + 60 grams
total mass of sugar = 80 grams
Now, calculate the total volume of the resulting mixture by adding the volumes of Solution A and Solution B:
total volume = volume of Solution A + volume of Solution B
total volume = 200 mL + 300 mL
total volume = 500 mL
Finally, calculate the concentration of the resulting mixture:
concentration of resulting mixture = (total mass of sugar ÷ total volume) × 100%
concentration of resulting mixture = (80 grams ÷ 500 mL) × 100%
concentration of resulting mixture ≈ 16%
Therefore, mixing 200 mL of a 10% sugar solution with 300 mL of a 20% sugar solution will result in a resulting solution with an approximate concentration of 16% sugar.