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determine the $k_{a}$ if the $pk_{a}$ is 5.21.

Question

determine the $k_{a}$ if the $pk_{a}$ is 5.21.

Explanation:

Step1: Recall the formula

The formula relating \(pK_a\) and \(K_a\) is \(pK_a=-\log_{10}(K_a)\). Rearranging for \(K_a\) gives \(K_a = 10^{-pK_a}\).

Step2: Substitute the value of \(pK_a\)

Given \(pK_a = 5.21\), substitute into the formula: \(K_a=10^{- 5.21}\).

Step3: Calculate the value

Using a calculator, \(10^{-5.21}\approx6.17\times10^{-6}\)

Answer:

\(6.17\times 10^{-6}\)