To calculate the weight percent of potassium carbonate (K2CO3) and potassium bicarbonate (KHCO3) in the mixture, you need to perform a series of calculations. Here's how you can approach it:
1. Start by determining the number of moles of HCl used in the titration:
- Volume of HCl solution = 30.20 mL = 0.03020 L
- Concentration of HCl solution = 0.763 M
- Moles of HCl = Concentration x Volume = 0.763 M x 0.03020 L = 0.023036 mol
2. From the balanced chemical equation between HCl and K2CO3, you know that 2 moles of HCl react with 1 mole of K2CO3.
3. Next, calculate the moles of K2CO3 in the mixture:
- Moles of K2CO3 = 0.023036 mol / 2 = 0.011518 mol
4. Now, determine the moles of KHCO3 in the mixture:
- Moles of KHCO3 = Moles of K2CO3 (since x+y = 2.118 g and y = 0.528 g, x = 1.590 g)
5. Convert the moles of KHCO3 to grams:
- Moles of KHCO3 x Molar mass of KHCO3 = Mass of KHCO3 in grams
- Moles of KHCO3 = 0.528 g / Molar mass of KHCO3
6. Calculate the weight percent of K2CO3 and KHCO3 in the mixture:
- % weight of K2CO3 = (Mass of K2CO3 / Total mass of the mixture) x 100
- % weight of KHCO3 = (Mass of KHCO3 / Total mass of the mixture) x 100
By plugging in the values obtained from the previous steps into the respective formulas, you can calculate the weight percent of potassium carbonate and potassium bicarbonate in the mixture.