<u>Answer:</u> The pH of the solution is 10.74
<u>Explanation:</u>
- <u>For methylammonium chloride:</u>
To calculate the number of moles, we use the equation:

Given mass of methylammonium chloride = 0.405 g
Molar mass of methylammonium chloride = 67.52 g/mol
Putting values in above equation, we get:

To calculate the number of moles for given molarity, we use the equation:

Molarity of methylamine solution = 0.300 M
Volume of solution = 25 mL = 0.025 L
Putting values in above equation, we get:

Total volume of the solution = [25 + 500] = 525 mL = 0.525 L (Conversion factor: 1 L = 1000 mL)
To calculate the pOH of basic buffer, we use the equation given by Henderson Hasselbalch:
![pOH=pK_b+\log(\frac{[salt]}{[base]})](https://tex.z-dn.net/?f=pOH%3DpK_b%2B%5Clog%28%5Cfrac%7B%5Bsalt%5D%7D%7B%5Bbase%5D%7D%29)
![pOH=pK_b+\log(\frac{[CH_3NH_3^+Cl^-]}{[CH_3NH_2]})](https://tex.z-dn.net/?f=pOH%3DpK_b%2B%5Clog%28%5Cfrac%7B%5BCH_3NH_3%5E%2BCl%5E-%5D%7D%7B%5BCH_3NH_2%5D%7D%29)
We are given:
= negative logarithm of base dissociation constant of methylamine = 3.36
![[CH_3NH_2]=\frac{0.0075}{0.525}](https://tex.z-dn.net/?f=%5BCH_3NH_2%5D%3D%5Cfrac%7B0.0075%7D%7B0.525%7D)
![[CH_3NH_3^+Cl^-]=\frac{0.00599}{0.525}](https://tex.z-dn.net/?f=%5BCH_3NH_3%5E%2BCl%5E-%5D%3D%5Cfrac%7B0.00599%7D%7B0.525%7D)
pOH = ?
Putting values in above equation, we get:

To calculate the pH of the solution, we use the equation:

Hence, the pH of the solution is 10.74