The unit of ionic product of water K W is-A- L mol -1B- mol -2 L 2C- mol L -1D- mol 2 L -2

The correct option is D mol^2 L^ 2Ionic Product of water: nbsp;H_2O(l) + H_2O (l)⇌ H_3O^+ (aq.)+ OH^ (aq.) or nbsp; H_2O(l) ⇌ H_3O^+(aq) + OH^ (aq). As ...

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Standard XII

Chemistry

Degree of Dissociation

The unit of i...

Question

The unit of ionic product of water $(K_{w})$ is:

m o l L^{- 1}

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m o l^{2} L^{- 2}

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L m o l^{- 1}

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m o l^{- 2} L^{2}

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Solution

The correct option is B $m o l^{2} L^{- 2}$
Ionic Product of water:
$H_{2} O (l) + H_{2} O (l) ⇌ H_{3} O^{+} (a q .) + O H^{-} (a q .)$ or $H_{2} O (l) ⇌ H_{3} O^{+} (a q) + O H^{-} (a q)$ .
As per laws of mass action : $K_{c} = \frac{[H^{+}] [O H^{-}]}{[H_{2} O]} K_{c} \times [H_{2} O] = K_{w} = [H^{+}] [O H^{-}]$
We can see that units of $K_{w}$ are equal to units of $[H^{+}] \times [O H^{-}]$
Units of $[H^{+}] = [O H^{-}] = m o l L^{- 1} ∴ K_{w} = (m o l L^{- 1})^{2} = m o l^{2} L^{- 2}$

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Degree of Dissociation

Standard XII Chemistry

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The unit of ionic product of water (Kw) is:

The unit of ionic product of water $(K_{w})$ is: