High School

Calculate the concentration in ppm of K ions in a solution prepared by dissolving 2.6 g of potassium sulfate in 250 mL of solution. (Given: K = 38.1, S = 32, O = 16)

Answer :

Final answer:

To find the ppm concentration of K+ ions in the given solution, calculate the mass of K+ ions based on the molecular weight of potassium sulphate and the mass of K in K2SO4, then apply the ppm formula using the mass of the solution.



Explanation:

To calculate the concentration in ppm of K+ ions in a solution prepared by dissolving 2.6 g of potassium sulphate (K2SO4) in 250 mL of solution, we must first determine the molecular weight of potassium sulphate and the mass of K+ ions in our sample.



Molecular weight of K2SO4 is:



2(K) + (S) + 4(O) = 2(38.1) + 32 + 4(16) = 174.2 g/mol



Next, we calculate the amount of K+ ions in the 2.6 g of K2SO4:



The ratio of the molecular weight of K to K2SO4 is 38.1/174.2.

Mass of K+ in our sample = 2.6 g × (2 × 38.1 / 174.2)



Since there are two K+ ions per molecule of K2SO4, you'll need to multiply this ratio by 2.



Finally, to calculate the ppm concentration:



ppm = (mass of K+ ions / mass of the solution) × 106

Assuming the density of the solution is approximately 1 g/mL, the mass of the solution is 250 mL × 1 g/mL = 250 g.

Substitute the mass of K+ ions and the mass of the solution into the formula.