Question

There are two quantities of a salt solution: 100 g and 150 g. There are 10 g of salt in the first solution and 30 g of salt in the second solution. What is the percent concentration of salt in each solution? What would be the concentration if we were to mix these solutions?

Answer 1

The percent concentration of salt is 10% for the first solution and 20% for the second solution. When mixed, the combined solution has a salt concentration of 16%.

Step-by-step explanation:

To calculate the percent concentration of salt in each solution, we use the formula:

Percent concentration = (mass of solute / mass of solution) × 100%

For the first solution:

Percent concentration = (10 g / 100 g) × 100% = 10%

For the second solution:

Percent concentration = (30 g / 150 g) × 100% = 20%

When mixing the two solutions, we combine the mass of the solutes and the mass of solutions:

• Mass of combined solute (salt) = 10 g + 30 g = 40 g
• Mass of combined solution = 100 g + 150 g = 250 g

The combined percent concentration:

Percent concentration = (40 g / 250 g) × 100% = 16%

Answer 2

To calculate the percent concentration of salt in each solution, we need to divide the grams of salt by the total mass of the solution and then multiply by 100 to get the percentage.

For the first solution, we have:
100 g of solution
10 g of salt

Percent concentration = (10 g / 100 g) * 100 = 10%

For the second solution, we have:
150 g of solution
30 g of salt

Percent concentration = (30 g / 150 g) * 100 = 20%

If we were to mix these solutions, we would have 250 g of the combined solution (100 g + 150 g). The total amount of salt in the combined solution would be 10 g + 30 g = 40 g.

Percent concentration of the combined solution = (40 g / 250 g) * 100 = 16%