Final answer:
The concentration of bromide ions in the mixed solution of 0.500M CaBr² and 1.00M NaBr is 0.667M, which corresponds to answer choice (C).
Step-by-step explanation:
To calculate the concentration of bromide ions in the resulting solution after mixing 0.500M CaBr² and 1.00M NaBr, we must account for both the initial moles of bromide from each source and the final volume of the solution.
From the calcium bromide solution (CaBr²):
Moles of bromide = 0.500 moles/L × 0.100 L = 0.050 moles of Br⁻ (remember each CaBr² provides 2 Br⁻)
From the sodium bromide solution (NaBr):
Moles of bromide = 1.00 moles/L × 0.050 L = 0.050 moles of Br⁻ (each NaBr provides 1 Br⁻)
Total moles of bromide = 0.050 + 0.050 = 0.100 moles of Br⁻
The final volume after mixing = 0.100 L + 0.050 L = 0.150 L
Concentration of bromide in the final solution is:
Molarity (M) = Moles of solute / Volume of solution
Molarity of Br⁻ = 0.100 moles / 0.150 L = 0.667M
Thus, the correct answer is (C) 0.667M.