According to the Henderson-Hasselbulch equation:
pH = pKa + Log[NH3/NH4+]
Here, [NH3] + [NH4+] = 0.1 mol/L * (250/1000) L = 0.025 mol, i.e. [NH3] = 0.025 - [NH4+]
The pKa of NH3 = 9.26
i.e. 9 = 9.26 + Log[(0.025-NH4+)/NH4+]
i.e. Log[(0.025-NH4+)/NH4+] = -0.26
i.e. (0.025-NH4+)/NH4+ = 0.5495
i.e. [NH4+] = 0.016 mol
Therefore, the volume of given HCl solution needed for prepartion of buffer = 0.016 mol/(0.4 mol/L) = 0.040 L or 40 mL
And [NH3] = 0.025 - 0.016 = 0.009 mol
Therefore, volume of given NH4OH solution needed for preparation of buffer = 0.025 mol/(0.2 mol/L) = 0.125 L =125 mL
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