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The enthalpy of neutralisation of NH4OH with HCl is -51.46 kJ mol^–1 and the enthalpy of neutralisation of NaOH with HCl is -55.90 kJ mol^–1. The enthalpy of ionisation of NH4OH is

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The enthalpy of neutralisation of NH4OH with HCl is -51.46 kJ mol–1 and the enthalpy of neutralisation of NaOH with HCl is -55.90 kJ mol–1. The enthalpy of ionisation of NH4OH is

(a) -107.36 kJ mol–1

(b) -4.44 kJ mol–1

(c) +107.36 kJ mol–1

(d) +4.44 kJ mol–1

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Correct answer: (d) +4.44 kJ mol–1

Explanation:

HCl → H+ + Cl-    .....(i)

NH4OH ⇌ NH4+ + OH-

ΔH = x kJ mol–1   .....(ii)

H+ + OH- → H2O

ΔH = -55.90 kJ mol–1   ......(iii)

(from neutralisation of strong acid and strong base)

From equation (i), (ii) and (iii)

NH4OH + HCl → NH4+ + Cl- + H2O

ΔH = -51.46 kJ mol–1

∴ x + (-55.90) = -51.46

x = -51.46 + 55.90

= 4.44 kJ mol–1

∴ Enthalpy of ionisation of NH4OH is

= 4.44 kJ mol–1

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