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Q. The ionic product of water _____ with the increase in temperature

AMUAMU 2003

Solution:

Water is dissociated into hydrogen and hydroxyl ions, as represented by equation
$H _{2} O \rightleftharpoons H ^{+}+ OH ^{-} $
$K =\frac{\left[ H ^{+}\right]\left[ OH ^{-}\right]}{\left[ H _{2} O \right]} $
$K\left[ H _{2} O \right] =\left[ H ^{+}\right]\left[ OH ^{-}\right]$
$K_{w} =\left[ H ^{+}\right]\left[ OH ^{-}\right]$
where, $K_{w}$ is ionic product of water.
At $25^{\circ} C , K_{w}=1 \times 10^{-14}$
The value of ionic product of water increases on increasing the temperature, because the degree of ionisation increases, on increasing the temperature.
Temp$/^{\circ}C$ $K_w$
25 $1\times 10^{-14}$
60 $9.6 \times 10^{-14}$
100 $5.5 \times 10^{-13}$