In: Chemistry
For 510.0 mL of a buffer solution that is 0.170 M in CH 3 CH 2 NH 2 and 0.150 M in CH 3 CH 2 NH 3 Cl , calculate the initial pH and the final pH after adding 0.010 mol of HCl . Express your answers using two decimal places separated by a comma.
pKb of ethylamine = 3.19
According to the Hinderson Hasselbalch equation :
pOH = pKb + log [CH3CH2NH3Cl/CH3CH2NH2]
= 3.19 + log [0.15/0.17]
= 3.14
Initial pH of the solution = 14-pOH = 14-3.19 = 10.81
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when HCl is added, it will react with ethyl amine to convert it to ethyl ammonium chloride
moles of acid added = moles of ethyl ammonium chloride formed. This amount has to be added to ethyl ammonium chloride intially present. same has to be substracted from ethyl amine intitally present
moles of ethyl amine initially present = 0.17 M * 0.510 L = 0.0867 moles
Moles of ethylammonium chloride present = 0.15 M * 0.510 L = 0.0765 moles
Moles of HCl added = 0.01 moles
Moles of ethylamine present after adding HCl = 0.0867 moles - 0.01 = 0.0767 moles
Moles of ethylammoniumchloride present after adding HCl = 0.0765 moles + 0.01 = 0.0865
pOH = pKb + log [CH3CH2NH3Cl/CH3CH2NH2]
= 3.19 + log [0.0865/0.0767] = 3.24
pH of the solution = 14-pOH = 14-3.24 = 10.76