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Question

Given
HCN(aq)+NaOH(aq)NaCN(aq)+H2O+44kJ
HCN(aq)+NH4OH(aq)NH4CN(aq)+H2O+40kJ
(ΔfH)OH(aq)=229.5kJmol1
(ΔfH)H2O(l))=286.2kJmol1
Which is correct statement?

A
ΔionH(HCN)=13.3kJmol1
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B
ΔionH(NH4OH)=4kJmol1
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C
Enthalpy of neutralisation of HCl and NaOH is 57.3kJ
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D
None of these
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Solution

The correct option is B ΔionH(NH4OH)=4kJmol1
Given
1: HCN(aq)+NaOH(aq)NaCN(aq)+H2O+44kJ
2: HCN(aq)+NH4OH(aq)NH4CN(aq)+H2O+40kJ
(ΔfH)OH(aq)=229.5kJmol1
(ΔfH)H2O(l))=286.2kJmol1
Difference between reaction 1 and 2 is due to the heat of ionization of weak base NH4OH.
Therefore ΔionH(NH4OH)=4440=4 kJ/mol
Enthalpy of neutralization of strong acid base is calculated as:
H++OHH2O
ΔneutH=ΔfH(H2O)ΔfH(OH)ΔfH(H+)=286.2(229.5)0=56.7 kJ/mol
For reaction 1:
ΔionH(HCN)=ΔrHΔneutH=44(56.7)=12.7 kJ/mol
Therefore option B is correct.

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