Calculating pH of a Buffer Solution with Added Sodium Hydroxide

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A buffer solution with a pH of 9.56 was created using 2.00 moles of ammonia and 1.00 mole of ammonium chloride in 1.00L of water. After adding 10.0 mL of 10.0 M sodium hydroxide to a 200 mL aliquot, the resulting pH was calculated using the Henderson-Hasselbalch equation rather than an ICE table. The reaction between NH4+ and OH- produces NH3 and water, affecting the concentrations of the components in the buffer. The final pH was determined to be 9.95. Using the Henderson-Hasselbalch equation simplifies the calculation process for buffer solutions.
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Homework Statement


A pH 9.56 buffer was prepared by mixing 2.00 moles of
ammonia and 1.00 moles of ammonium chloride in water
to form a solution with a volume of 1.00L.
To a 200 mL aliquot of this solution was added 10.0 mL of
10.0 M sodium hydroxide. What was the resulting pH?


Homework Equations


M(molarity)=n/v
pH(for buffers)=pKa+log[A-]/[CB+]

The Attempt at a Solution


I tried to make an ice table in order to calculate the final values of concentration but was unsuccessful. I've been giving the answerto the problem and I know how the second part was calculated.
" NH4+ + OH- (g)  NH3 (g) + H2O(l)
i. 0.952 M 0.476 M 1.905 M
C. -0.476 M -0.476 M +0.476 M
Comp 0.476 0 2.38 M
pH = pKa+ log[NH3]
[NH4
+]= −log(1.0×10−14/
1.8×10−5)+ log(2.38M)
(0.476M)= 9.95"
However I have no idea how to there, your help is much appreciated. Thankyou.
 
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