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← IIT-JEE 2009 · Paper 2
ChemistryInteger+4 / -1Question 14 of 57

IIT-JEE 2009 · Paper 2, Chemistry question 14

The dissociation constant of a substituted benzoic acid at 25°C is 1.0×10−41.0\times10^{-4}. The pH of a 0.01 M solution of its sodium salt is

Answer and worked solution

Official answer: 8

Hydrolysis of the salt. Kb=KwKa=10−1410−4=10−10K_b=\dfrac{K_w}{K_a}=\dfrac{10^{-14}}{10^{-4}}=10^{-10}.

Hydroxide. [OHX−]=KbC=10−10×10−2=10−6[\ce{OH-}]=\sqrt{K_bC}=\sqrt{10^{-10}\times10^{-2}}=10^{-6} M, so pOH = 6 and pH = 8.

Answer: 8