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Arrhenius Acid

Value of diss...

Question

Value of dissociation constant of acetic acid is $10^{- 6}$ , where as dissociation constant of formic acid is $10^{- 5}$ . Which of the following will be the value of pK $_{a}$ (acetic acid) - pK $_{a}$ (formic acid)
a)10
b)1
c) $10^{- 1}$
d)-1

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Solution

The dissociation constant is Ka and pK $_{a}$ stands for a negative log of K $_{a}$ . We will now Calculate the pK $_{a}$ of acetic acid and formic acid.
Acetic acid:
K $_{a}$ = 10 $^{- 6}$
pK $_{a}$ = -log( $K_{a}$ )= -log( $10^{- 6}$ ) = 6
Formic acid:
$K_{a} = 10^{- 5}$
$p K_{a} = - l o g (K_{a}) = - l o g (10^{- 5})$ =5
The value of pK $_{a}$ (acetic acid) - pK $_{a}$ (formic acid) = 6 - 5 = 1.
Therefore, the correct answer is an option (B).

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