A 0.010M solution of base B is 15% dissociated. Calculate the Kb for base B.

To calculate the Kb for base B, we need to use the dissociation equation for the base, which is as follows:

B + H2O ⟶ BH+ + OH-

We are given that the concentration of the base B is 0.010M and that it is 15% dissociated. This means that 15% of the base dissociates into BH+ and OH-. Therefore, the concentration of BH+ and OH- can be calculated as follows:

[OH-] = 0.010M × 0.15 = 0.0015M

Since the concentration of OH- can be considered as the concentration of a product, we can use it to calculate the concentration of BH+ using the fact that water is neutral and the concentrations of [H+] and [OH-] are equal:

[H+] = [OH-] = 0.0015M

Now, we can calculate the Kb using the equation Kb = [BH+][OH-] / [B]:

Kb = (0.0015M)(0.0015M) / 0.010M
= 0.0000225 / 0.010
= 0.00225

Therefore, the Kb for base B is 0.00225.