15.0g of potassium acetate is added to 500.0mL of 0.50M solution of acetic acid. What is the pH and the pOH of the solution?

To find the pH and pOH of the solution, we first need to determine the concentration of hydroxide ions (OH-) and hydronium ions (H3O+) in the solution. We can then use the concentrations to calculate the pH and pOH.

Given:
- Mass of potassium acetate = 15.0 g
- Volume of acetic acid solution = 500.0 mL
- Concentration of acetic acid = 0.50 M

Step 1: Convert mass of potassium acetate to moles
To find the number of moles of potassium acetate, we need to use its molar mass. The molar mass of potassium acetate is 98.14 g/mol.

Number of moles = Mass / Molar mass
Number of moles = 15.0 g / 98.14 g/mol

Step 2: Convert milliliters to liters
To work with the volume in liters, we need to convert from milliliters to liters. There are 1000 mL in 1 L.

Volume of acetic acid solution = 500.0 mL / 1000 mL/L

Step 3: Calculate initial concentration of acetic acid
The initial concentration of acetic acid can be calculated using the formula:

Initial concentration = mol / volume

Step 4: Calculate final concentrations of acetic acid and acetate ions
When potassium acetate dissolves in water, it separates into acetate ions (C2H3O2-) and potassium ions (K+). Since the dissociation of this salt in water is complete, the final concentration of acetate ions will be equal to the initial concentration of potassium acetate. The final concentration of acetic acid will be the initial concentration minus the concentration of acetate ions.

Step 5: Calculate pH and pOH
- pH: Since we know the concentration of hydronium ions (H3O+), we can calculate the pH using the formula:

pH = -log[H3O+]

- pOH: Since we know the concentration of hydroxide ions (OH-), we can calculate the pOH using the formula:

pOH = -log[OH-]

Finally, we can use the relationship:

pH + pOH = 14

Using the given information and following the steps, you should be able to calculate the pH and pOH of the solution.