Question

What is the percent-by-mass, %(m/m), concentration of Na₂SO₄ in a solution made by dissolving 35.2 g of Na₂SO₄ in enough water to give 96.0 g of total solution?

Answer 1

The percent-by-mass concentration of Na₂SO₄ in the solution is calculated by dividing the mass of Na₂SO₄ (35.2 g) by the total mass of the solution (96.0 g) and multiplying by 100%, resulting in 36.67%.

Step-by-step explanation:

To calculate the percent-by-mass concentration of Na₂SO₄ in an aqueous solution, we use the formula: \

Percent by mass = (mass of the solute / mass of the solution) x 100% \

In this case, the mass of the solute (Na₂SO₄) is 35.2 g and the mass of the total solution is 96.0 g. To find the percent-by-mass concentration of Na₂SO₄, we divide the mass of Na₂SO₄ by the total mass of the solution and multiply the result by 100%: \

Percent by mass = (35.2 g / 96.0 g) x 100% \

Performing the calculation gives us:

Percent by mass = (0.3667) x 100% \

Percent by mass = 36.67% \

Therefore, the percent-by-mass concentration of Na₂SO₄ in the solution is 36.67%.