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The enthalpy of neutralisation of a weak acid in 1 M solution with a strong base is -56.1 kcal mol^-1. If the enthalpy of ionisation of acid is 1.5 kcal mol^-1 and enthalpy of neutralisation of the strong acid with a strong base is -57.3 kJ eq^-1. Wh...

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The enthalpy of neutralisation of a weak acid in 1 M solution with a strong base is -56.1 kcal mol-1. If the enthalpy of ionisation of acid is 1.5 kcal mol-1 and enthalpy of neutralisation of the strong acid with a strong base is -57.3 kJ eq-1. What is the % ionisation of the weak acid in molar solution (assume the acid is monobasic)

(a) 25

(b) 20

(c) 15

(d) 10

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Correct answer: (b) 20

Explanation:

The enthalpy of ionisation of weak acid is given by

ΔHion(HA) 

= ΔHN(weak acid / strong base) – ΔHN(strong acid/strong base)

= -56.1 - (-57.3) = 1.2 1 kJ mol-1

ΔH(ionisation) = 1.5 1 kJ mol-1

Hence % ionisation in 1 M solution

= \(\frac{(1.5 - 1.2)}{1.5}\) x 100

= 20%

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