Using the Nernst equation if needed and the original diluted [Pb2+] and [I-] to calculate the [I-] in solution.
Mixed 9 mL of 0.050 M KI solution with 3 mL of 0.050 M Pb(NO3)2.
Total volume = 12 mL = 0.012 L
Here, Initial concentration of I- = 0.05 M
Initial volume of I- = 9 mL
Initial concentration of Pb2+ = 0.05 M
Initial volume of Pb2+ = 3 mL
Therefore, concentration of the I- in mixture = (0.05 x 9)/(12) = 0.0375 M
Concentration of Pb2+ in mixture = (0.05 x 3)/12 = 0.0125 M
We have, Ksp of PbI2 = 1.4x10-8
Also, Q = [Pb2+][I-]2 = [0.0125][0.0375]2 = 1.76 x 10-5
Since, Q >> Ksp precipitate will be formed and Pb2+ will be consumed.
Therefore,
Concentration I- left in the solution = 0.0375 – [(2 x 0.0125)] = 0.0125 M
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