What is the pH of a buffer solution prepared by mixing 100.0 mL of 0.200 mol L^-
ID: 954967 • Letter: W
Question
What is the pH of a buffer solution prepared by mixing 100.0 mL of 0.200 mol L^-1 NH_3 and 85.7 mL of 0.250 mol L^-1 NH_4C1? K_b(NH_3) = 1.76 times 10^-5 A) 4.725 B) 9.275 C) 4.245 D) 5.658 E) 9.216 28. What is the pH of a 30.0 mL buffer solution composed of 0.30 mol L^-1 NH_3 and 0.30 mol L^-1 NH_4C1 after 0.0015 mol of NaOH(s) are added to it at 25 degreeC? Assume that the volume of the solution does not change by the addition of the solid. K_b(NH_3) = 1.76 times 10^-5. A) 4.901 B) 9.099 C) 8.654 D) 9.392 E) 4.754Explanation / Answer
27) Ans= E
[NH4Cl] = 85.7 mL x 0.25 M = 21.425 mmol
[ NH3] = 100 mL x 0.2 M = 20 mmol
Kb = 1.76 x 10-5
pOH = - logKb + log [NH4Cl]/[NH3]
= -log(1.76 x 10-5) + log (21.425 mmol/ 20 mmol)
= 4.78
pH = 14- pOH = 14 -4.78 = 9.216
Therefore,
pH = 9.216
28) NH4Cl + NaOH ----------> NH3 + H2O + NaCl
Given that
[NH4Cl] = 30 mL x 0.3 M = 9 mmol
[ NH3] = 30 mL x 0.3 M = 9 mmol
[NaOH] = 0.0015 mol = 0.0000015 mmol
Hence,
pOH = - logKb + log [NH4Cl]- [NaOH]/[NH3] + [NaOH]
= -log(1.76 x 10-5) + log ( 9 mmol -0.0000015 mmol / 9 mmol + 0.0000015 mmol)
= 4.75
pH = 14 -pOH = 14-4.75 = 8.25
pH = 8.25
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