The enthalpy of neutralization of a weak monoprotic acid (HA) in 1 M solution with a strong base is -55.95 kJ/mol. If the unionized acid is required 1.4 kJ/mol heat for it's complete ionization and enthalpy of neutralization of the strong monobasic acid with a strong monoacidic base is -57.3 kJ/mol. What is the % ionization of the weak acid in molar solution?

Options

A. `1% `
B. `3.57%`
C. `7%`
D. `10%`

Explanation

`DeltaA to H ^(+) + A ^(-) , Delta _(t) H = 1. 4 kJ // mol , Delta H _("neutrilization")= Delta H _("ionization") + Delta _(f) H`
`( H ^(+) + OH ^(-) to H _(2) O) - 55. 95 = Delta H _("Ionization")-57.2 : Delta H _("Ionization") ` for `1 MHA = 1. 35 kJ // mol`
`%` heat utilized by 1 M acid for ionization `= ( 1. 35)/(1.4) xx 100 = 96.43 %` so aci is `100 - 96.43 = 3. 57%` ionized