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Multiple Choice
Hypochlorous acid () has at . What is its acid dissociation constant ?
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Verified step by step guidance
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Understand that the problem asks to find the acid dissociation constant \(K_a\) given the \(pK_a\) value of hypochlorous acid. The relationship between \(pK_a\) and \(K_a\) is fundamental in acid-base chemistry.
Recall the formula that relates \(pK_a\) and \(K_a\):
\[pK_a = -\log_{10}(K_a)\]
To find \(K_a\) from \(pK_a\), rearrange the formula to solve for \(K_a\):
\[K_a = 10^{-pK_a}\]
Substitute the given \(pK_a\) value (7.53) into the equation:
\[K_a = 10^{-7.53}\]
Evaluate the expression to find the numerical value of \(K_a\). This will give the acid dissociation constant in scientific notation, which represents the strength of hypochlorous acid.