Final answer:
The molarity of sodium sulfate in the solution is approximately 0.148 M.
Step-by-step explanation:
To find the molarity of sodium sulfate in the solution, we need to use the equation:
Molarity (M) = moles of solute / volume of solution (in liters)
First, we need to calculate the moles of sodium sulfate. The molar mass of Na₂SO₄ is 142.04 g/mol. We can use the given mass (10.56 g) and molar mass to find the number of moles:
Moles = mass / molar mass = 10.56 g / 142.04 g/mol ≈ 0.0743 mol
Next, we need to convert the volume of the solution to liters:
Volume = 500 mL = 500/1000 L = 0.5 L
Finally, we can calculate the molarity:
Molarity = moles of solute / volume of solution = 0.0743 mol / 0.5 L ≈ 0.148 M
Therefore, the molarity of sodium sulfate in the solution is approximately 0.148 M.