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Q.

The enthalpy of neutralization of a weak monoprotic acid, HA in 1M solution with a strong base is -55.95KJ/mol. If the unionized acid requires 1.4 KJ/mol heat for its complete ionization and enthalpy of neutralization of the strong monobasic acid with a strong monoacidic base is -57.3 kJ/mol. Then % ionization of the weak acid in molar solution is

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a

1.2%

b

3.57%

c

6.07%

d

12.01%

answer is C.

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Detailed Solution

ΔH (neutralization) =ΔH (ionization) +ΔHrH++OH−→H2O−55.95=ΔH1−57.3−55.95=ΔHionisation=1.35 KJ/mol1.4 KJ/molheat is required for ionization so, % of heat utilized by 1 M acid for  ionization =1.351.4×100 =96.43%So % of ionization =100-96.43 =3.57%
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