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Question: In order to prepare a buffer of pH= 8.26, the amount of (NH<sub>4</sub>)<sub>2</sub> SO<sub>4</sub> ...

In order to prepare a buffer of pH= 8.26, the amount of (NH4)2 SO4 required to be mixed with one litre of 0.1(M) NH3 (aq), pKb = 4.74 is

A

1.0 mole

B

10.0 mole

C

0.50 mole

D

5 mole

Answer

0.50 mole

Explanation

Solution

pOH = pKb + log [NH4+][NH3]\frac { \left[ \mathrm { NH } _ { 4 } ^ { + } \right] } { \left[ \mathrm { NH } _ { 3 } \right] }

5.74 = 4.74 + log [NH4+]0.1\frac { \left[ \mathrm { NH } _ { 4 } ^ { + } \right] } { 0.1 }

or log [NH4+]0.1\frac { \left[ \mathrm { NH } _ { 4 } ^ { + } \right] } { 0.1 } = 1

or [NH4+]0.1\frac { \left[ \mathrm { NH } _ { 4 } ^ { + } \right] } { 0.1 } = 10

or [NH4+]\left[ \mathrm { NH } _ { 4 } ^ { + } \right] = 1 (M)

\ (NH4+)2\left( \mathrm { NH } _ { 4 } ^ { + } \right) _ { 2 } SO4 required = 0.5 mole