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Chemistry Question on Equilibrium

pH of a solution produced when an aqueous solution of pH = 6 is mixed with an equal volume of an aqueous solution of pH = 3 is about :

A

3.3

B

4.3

C

4

D

4.5

Answer

3.3

Explanation

Solution

Assume 1 L1\, L of each solution [H3O+][H_{3}O^{+}] in solution of pH=6pH = 6 is 10−6 M10^{-6}\,M [H3O+][H_{3}O^{+}] in solution of pH=3pH = 3 is 10−3 M10^{-3}\,M Total [H3O+]=(10−3+10−62)[H_{3}O^{+}] = \left(\frac{10^{-3}+10^{-6}}{2}\right) =5.005×10−4=5.005\times10^{-4} ∴pH=4−log 5.005=3.3\therefore pH =4-log\,5.005=3.3