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Given,${K_2}C{O_3}$ is a salt of
a) Strong acid strong base
b) Weak acid weak base
c) Strong base weak acid
d) Weak acid weak base

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Answer
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Hint: Potassium carbonate ${K_2}C{O_3}$ is a salt which is obtained by the neutralization reaction between carbonic acid and potassium hydroxide. The side product of this reaction is water.

Complete step by step answer:
Strong acids are defined as the species which on dissolving in water dissociates completely into its constituent ions. Example of strong acid is hydrochloric acid HCl.
Strong bases are defined as the species which on dissolving in water dissociates completely into its constituent ions. Example of strong base is potassium hydroxide KOH.
Weak acids are defined as the species which on dissolving in water does not dissociates into its constituents ions. Example of weak acid is acetic acid $C{H_3}COOH$.
Weak bases are defined as the species which on dissolving in water does not dissociates into its constituent ions. Example of weak base is ammonia $N{H_3}$.
The acid compound and the basic compound react with each other to form salt as the product with the elimination of water. The reaction taking place between acids and bases is known as neutralization reaction.
When a strong acid is reacted with a weak base, then the resulting salt is acidic salt. Example of acidic salt is ammonium chloride $N{H_4}Cl$.
When a weak acid is reacted with a strong base, then the resulting salt is basic salt. Example of basic salt is sodium acetate $C{H_3}COONa$.
Potassium carbonate is formed by the reaction of carbonic acid and potassium hydroxide. Carbonic acid is a weak acid and potassium hydroxide is a strong base. Therefore, the resulting salt formed by their reaction will be basic salt.
The reaction is shown below.
${H_2}C{O_3} + 2KOH \to {K_2}C{O_3} + {H_2}O$
In this reaction, one mole of carbonic acid reacts with two mole of potassium hydroxide to give one mole of potassium carbonate and one mole of water.
Therefore, the correct option is C.

Note: When a strong acid like hydrochloric acid is treated with a strong base like sodium hydroxide, then the resulting salt formed is sodium chloride which is a neutral salt. The basic salt on dissolving in water gives a basic solution.