A) acid A is 10 times stronger than acid B
B) strength of acid A : strengths of acid \[B=4:5\]
C) the strengths of the two acids can not be compared
D) acid B is 10 times stronger than acid A
Correct Answer: A
Solution :
\[_{p}{{K}_{a}}\] of acid \[A=4\] \[_{p}{{K}_{a}}\] of acid \[B=5\] We know that \[_{p}{{K}_{a}}=-\log {{K}_{a}}\] or \[{{K}_{a}}={{10}^{{{-}_{p}}{{K}_{a}}}}\] \[\therefore \] acid A, \[{{K}_{a}}={{10}^{-4}}\] acid B, \[{{K}_{a}}={{10}^{-5}}\] Hence A, is ten times stronger than B
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