Point out the correct relation between K_ a , K_ b and K_ w , - Vidyadip

MCQ

Point out the correct relation between $\mathrm{K}_{\mathrm{a}}, \mathrm{K}_{\mathrm{b}}$ and $\mathrm{K}_{\mathrm{w}},$

A
$\text{K}_{\text{a}}+\text{K}_{\text{b}}=\text{K}_{\text{w}}$
B
$\text{K}_{\text{a}}-\text{K}_{\text{b}}=\text{K}_{\text{w}}$
✓
$\text{K}_{\text{a}}\times\text{K}_{\text{b}}=\text{K}_{\text{w}}$
D
$\frac{\text{K}_{\text{a}}}{\text{K}_{\text{b}}}=\text{K}_{\text{w}}$

✓

Answer

Correct option: C.

$\text{K}_{\text{a}}\times\text{K}_{\text{b}}=\text{K}_{\text{w}}$

In case of a conjugate acid $-$ base pair,
$\text{K}_{\text{a}}\times\text{K}_{\text{b}}=\text{K}_{\text{w}}.$

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