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Question

Chemistry Question on Equilibrium

An acid solution has a pH=6pH = 6. It is diluted 100 times, the pHpH of the resultant solution would be

A

5.955.95

B

6.956.95

C

77

D

88

Answer

6.956.95

Explanation

Solution

pH=6pH = 6 or [H+]=10−6;[H^+] = 10^{-6}; when it is diluted 100 times. i.e., [H+]=10−6?10−2=10−8[H^+] = 10^{-6} ? 10^{-2} = 10^{-8} But pHpH of an acid cannot exceed 7. Here we should also consider [H+][H^+] that comes from water. Now [H+]=[H+][H^+] = [H^+] from HCl+[H+]HCl + [H^+] from H2OH_2O =10−8+10−7=10−8+10?10−8=11?10−8= 10^{-8} + 10^{-7} = 10^{-8} + 10 ? 10^{-8} = 11 ? 10^{-8} pH=−log(11?10−8)=−(1.0413−8)=6.9587pH = -log (11 ? 10^{-8}) = - (1.0413 - 8) = 6.9587