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Question: Which of the following is a buffer solution? (A) \[{\text{NaOH + C}}{{\text{H}}_{\text{3}}}{\text{...

Which of the following is a buffer solution?
(A) NaOH + CH3COONa{\text{NaOH + C}}{{\text{H}}_{\text{3}}}{\text{COONa}}
(B) NaOH + Na2SO4{\text{NaOH + N}}{{\text{a}}_{\text{2}}}{\text{S}}{{\text{O}}_4}
(C) K2SO4 + H2SO4{{\text{K}}_{\text{2}}}{\text{S}}{{\text{O}}_4}{\text{ + }}{{\text{H}}_{\text{2}}}{\text{S}}{{\text{O}}_4}
(D) NH4OH + NH4Cl{\text{N}}{{\text{H}}_4}{\text{OH + N}}{{\text{H}}_4}{\text{Cl}}

Explanation

Solution

An acid buffer solution is the mixture of weak acid and its conjugate base. An acid buffer solution is the mixture of weak acid and its salt with strong base. A basic buffer solution is the mixture of weak base and its conjugate acid. A basic buffer solution is the mixture of weak base and its salt with strong acid.

Complete answer:
Let us consider the given options one by one:
(A) NaOH + CH3COONa{\text{NaOH + C}}{{\text{H}}_{\text{3}}}{\text{COONa}} is not a buffer solution. Sodium hydroxide is a strong base. Sodium acetate is a salt of weak acid (acetic acid) with a strong base (sodium hydroxide).
(B) NaOH + Na2SO4{\text{NaOH + N}}{{\text{a}}_{\text{2}}}{\text{S}}{{\text{O}}_4} is not a buffer solution. Sodium hydroxide is a strong base. Sodium sulphate is a salt of strong acid (sulphuric acid) with a strong base (sodium hydroxide).
(C) K2SO4 + H2SO4{{\text{K}}_{\text{2}}}{\text{S}}{{\text{O}}_4}{\text{ + }}{{\text{H}}_{\text{2}}}{\text{S}}{{\text{O}}_4} is not a buffer solution. Potassium sulphate is a salt of strong acid (sulphuric acid) with a strong base (potassium hydroxide). Sulphuric acid is a strong acid.
(D) NH4OH + NH4Cl{\text{N}}{{\text{H}}_4}{\text{OH + N}}{{\text{H}}_4}{\text{Cl}} is a basic buffer solution. Ammonium hydroxide is a weak base. Ammonium chloride is a salt of weak base (ammonia or ammonium hydroxide) with strong acid (hydrochloric acid).

Additional Information: When an acid buffer solution has equal number of moles of weak acid and its conjugate base, the pH of the solution is equal to its pKa{\text{p}}{{\text{K}}_a} value.
pKa{\text{p}}{{\text{K}}_a} is equal to the negative logarithm of hydrogen ion concentration.

Note: Henderson Hasselbach equation gives the expression for the pH of the buffer solution. For an acid buffer solution, the pH of the solution is given by the following expression:
pH = pKa + log[ conjugate base ][ acid ]{\text{pH = p}}{{\text{K}}_a}{\text{ + log}}\dfrac{{\left[ {{\text{ conjugate base }}} \right]}}{{\left[ {{\text{ acid }}} \right]}}