First slide

Ionic product of water

Question

At certain temperature, the H⁺ ion concentration of water is 4 × 10^–7M then the value of K_w at the same temperature is

Easy

A

$10^{- 14} M^{2}$
B

$4 \times 10^{- 14} M^{2}$
C

$1.6 \times 10^{- 13} M^{2}$
D

$4 \times 10^{- 7} M$

Solution

In water, $\large [H^+]=[OH^-]=4\, \times \,{10^{ - 7}}\,{M}$
$\large K_w=[H^+] \times \,[OH^-]=4\, \times \,{10^{ - 7}}\,\times4\, \times \,{10^{ - 7}}\,{M}^2$
$\large K_w=1.6\, \times \,{10^{ - 13}}\,{M^2}$

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