A solution is prepared by dissolving 10.00g of a monobasic salt in a total volume of 1.00litres. Th pH of this solution was measured at 13.07 and a conductivity experiment determined that this salt was completely ionized in solution. What is the molecular weight of this monobasic salt?

I don't have an answer for you. If it produces a pH of 13.07, that means that it is a salt, such as MA, where M is a metal and A is the anion. That will hydrolyze to produce OH^-. However, with no pKa, I don't see how to get the molar mass.