Correct option is : PbCrO4(s)
Explanation
Case 1 : PbCrO4
Given : concentration of Pb2+ = [Pb2+] = 0.001 M
PbCrO4 Ksp = [Pb2+][CrO42-]
2.80 x 10-13 = (0.001 M) * [CrO42-]
[CrO42-] = (2.80 x 10-13) / (0.001 M)
[CrO42-] = 2.80 x 10-10 M
Case 2 : BaCrO4
Given : concentration of Ba2+ = [Ba2+] = 0.100 M
BaCrO4 Ksp = [Ba2+][CrO42-]
1.17 x 10-10 = (0.100 M) * [CrO42-]
[CrO42-] = (1.17 x 10-10) / (0.100 M)
[CrO42-] = 1.17 x 10-9 M
Since less concentration of CrO42- is required in Case 1 to initial precipitation, therefore, PbCrO4 will precipitate first
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