Question #49742

If 28.7mL of 0.205M KOH is required to completely neutralize 20.0mL of a HC2H3O2 solution, what is the molarity of the acetic acid solution?
HC2H3O2(aq) + KOH(aq) → KC2H3O2(aq) + H2O(l)

Expert's answer

Answer on Question #49742 - Chemistry - Other

Question

If 28.7mL of 0.205M KOH is required to completely neutralize 20.0mL of a HC2H3O2 solution, what is the molarity of the acetic acid solution?


HC2H3O2(aq)+KOH(aq)KC2H3O2(aq)+H2O(l)\mathrm{HC2H3O2(aq)} + \mathrm{KOH(aq)} \rightarrow \mathrm{KC2H3O2(aq)} + \mathrm{H_2O(l)}

Answer:

According to the reaction, 1 mole of acetic acid reacts with 1 mole of KOH, therefore, if HC2H3O2\mathrm{HC_2H_3O_2} is completely neutralized, there are no moles of HC2H3O2\mathrm{HC_2H_3O_2} in solution, so number of moles of KOH required to completely neutralize acetic acid is equal to initial number of moles of the acid:


n(KOH)=n(HC2H3O2)n(\mathrm{KOH}) = n(\mathrm{HC_2H_3O_2})


Number of moles of substance in solution equals:


n=CVn = CVC(KOH)V(KOH)=C(HC2H3O2)V(HC2H3O2)C(\mathrm{KOH}) \cdot V(\mathrm{KOH}) = C(\mathrm{HC_2H_3O_2}) \cdot V(\mathrm{HC_2H_3O_2})


Molar concentration or molarity of acetic acid solution equals:


C(HC2H3O2)=C(KOH)V(KOH)/V(HC2H3O2)=0.20528.7/20.0=0.294 MC(\mathrm{HC_2H_3O_2}) = C(\mathrm{KOH}) \cdot V(\mathrm{KOH}) / V(\mathrm{HC_2H_3O_2}) = 0.205 \cdot 28.7 / 20.0 = 0.294\ \mathrm{M}

Answer: 0.294 M

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