I need help setting up a problem to calculate pH during the titration of 20.00ml Of 0.1000M (CH3CH2)3N (Kb= 5.2 x 10-4) with 10.00ml of .1000M HCL. I can do it with a weak acid - strong base but this is a weak base - strong acid and I don't know if its the same.

It's the same process.
(C2H5)3N + HCl ==> (C2H5)3NH^+ + Cl^-

Use the Henderson-Hasslebalch equation.
I found pH = 10.72 but check that for yourself.

To set up the problem and calculate the pH during the titration of (CH3CH2)3N (triethylamine) with HCl, you need to consider the reaction that takes place between the weak base and the strong acid.

The balanced chemical equation for the reaction is:

(CH3CH2)3N + HCl → (CH3CH2)3NH+ + Cl-

First, you need to determine the initial moles of (CH3CH2)3N and HCl. This can be done using the given information about the volumes and concentrations of the solutions.

For (CH3CH2)3N:
Initial moles of (CH3CH2)3N = volume (L) × molarity (mol/L)
Initial moles of (CH3CH2)3N = 0.0200 L × 0.1000 mol/L

For HCl:
Initial moles of HCl = volume (L) × molarity (mol/L)
Initial moles of HCl = 0.0100 L × 0.1000 mol/L

The reaction between (CH3CH2)3N and HCl is a 1:1 ratio, so both reagents will be fully consumed at the equivalence point.

Next, you need to determine which species will be in excess or in limiting amount. Since the moles of reactants are equal at the equivalence point, the amount of excess reagent can be determined by comparing the initial moles of each reactant.

If there is any excess of (CH3CH2)3N, it will react with water to form (CH3CH2)3NH+ and OH-. If there is any excess of HCl, it will react with water to form H3O+ and Cl-.

To determine the pH at the equivalence point, you need to use the Henderson-Hasselbalch equation. The Henderson-Hasselbalch equation for this situation is:

pH = pKa + log([A-]/[HA])

Since this titration involves a weak base and a strong acid, you can consider (CH3CH2)3NH+ as the conjugate acid (HA) and (CH3CH2)3N as the conjugate base (A-). The Kb value of (CH3CH2)3N can be used to calculate its pKa using the equation:

pKa = 14 - pKb

Substitute the pKa value and the concentrations of (CH3CH2)3NH+ and (CH3CH2)3N into the Henderson-Hasselbalch equation to calculate the pH.

Keep in mind that the pH value calculated using this method is valid at the equivalence point, where the moles of (CH3CH2)3N and HCl are equal, indicating complete neutralization. At any other point in the titration, you will need to consider the stoichiometry and amounts of reagents present to calculate the pH accurately.