Final answer:
To determine the mixture with the smallest Qsp with a precipitate and the mixture without a precipitate with the largest Qsp, we compare the Qsp values to the Ksp values. If Qsp is smaller than Ksp, there is not enough product to form a precipitate and the solution is unsaturated and if Qsp is larger than Ksp, there is an excess of product and a precipitate will form.
Step-by-step explanation:
The question is asking which mixture had the smallest Qsp with a precipitate and which mixture had the largest Qsp without a precipitate. In order to answer this question, we need to understand that Qsp is the ion product and Ksp is the solubility product constant.
Qsp is calculated by multiplying the concentrations of the ions involved in a reaction. If Qsp is smaller than Ksp, there is not enough product to form a precipitate and the solution is unsaturated.
If Qsp is larger than Ksp, there is an excess of product and a precipitate will form.
From the given data, we can compare the Qsp values of the mixtures to determine which had the smallest Qsp with a precipitate and which had the largest Qsp without a precipitate.