Question

# In a buffer solution containing an equal concentration of B$$^{-}$$ and HB, the K$$_{b}$$ for B$$^{-}$$ is 10$$^{-10}$$. The pH of the buffer solution is:

A
10
B
7
C
6
D
4

Solution

## The correct option is D 4Here, the $$K_b$$ for $$B^-$$ is $$10^{-10}$$ $$\therefore pK_b=-log_{10}K_b=-log_{10}(10^{-10})=10$$We know that, $$pOH=pK_b+log [salt]/[acid]$$Here, the concentration of the salt and the acid is same $$\therefore log_{10} 1=0$$$$\therefore pOH=pK_b=10$$ and $$pH=14-pOH$$$$=14-10$$$$=4$$Hence, the correct answer is option (D).Chemistry

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