First slide

PH scale, PH of strong acids and strong bases

Question

Select the correct statement (s) out of the following.

Easy

A

$P^{H} + P^{OH} = 14$
B

$P^{K_{w}} = 14$
C

$K_{a} \times K_{b} = K_{w}$
D

All of these

Solution

$K_{w} = [H^{+}] [{OH}^{-}] = 10^{- 14} - \log {[H^{+}] [{OH}^{-}]} = - \log (10^{- 14}) - \log (H^{+}) - \log ({OH}^{-}) = 14 P^{H} + P^{OH} = 14 = P^{K_{w}} Similarly P^{K_{w}} = P^{k_{a}} + P^{k_{b}} K_{a} \times K_{b} = K_{w}$
Where, K_w=Ionic product of water
K_a=Acid dissociation constant
K_b=Base dissociation constant.

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