Final answer:
To determine the concentration of potassium ions after mixing potassium hydroxide and potassium sulfate, calculate the total volume, determine the moles of potassium ions in each solution, and apply the principle of mixing solutions to find the final molarity, which is 0.127 M.
Step-by-step explanation:
To find the concentration of potassium ions in a mixed solution of potassium hydroxide and potassium sulfate, we would follow these steps:
- Calculate the total volume of the solution by adding the volumes of the individual solutions: 180 mL of potassium hydroxide and 28 mL of potassium sulfate, totaling 208 mL or 0.208 L.
- Determine the moles of potassium ions in each solution separately. For potassium hydroxide, which has a concentration of 0.100M, the moles are 0.100M * 0.180L = 0.018 moles. For potassium sulfate, which has two potassium ions per formula unit and a concentration of 0.150M, the moles are 0.150M * 0.028L * 2 = 0.0084 moles.
- Combine the moles of potassium ions from both solutions: 0.018 moles + 0.0084 moles = 0.0264 moles.
- Apply the principle of mixing solutions to find the final concentration. Dividing the total moles of potassium ions by the total volume of the solution gives us the final concentration: 0.0264 moles / 0.208 L = 0.127 M.
To determine the concentration of potassium ions in the final solution, we need to follow these steps:
Calculate the total volume of the solution by adding the volumes of the two solutions.
Determine the moles of potassium ions in each solution by multiplying the volume of the solution by its molarity.
Apply the principles of mixing solutions by adding the moles of potassium ions in both solutions.
Find the final concentration of potassium ions by dividing the total moles of potassium ions by the total volume of the solution.
In this case, the final concentration of potassium ions can be calculated using the given volumes and molarities of the solutions.