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  4. If ionic product of water is K w=10-16 at 4° C, then a solution with pH =7.5 at 4° C will

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Q. If ionic product of water is $K _{w}=10^{-16}$ at $4^{\circ} C$, then a solution with $pH =7.5$ at $4^{\circ} C$ will

Equilibrium

Solution:

$K _{w}=10^{-16}$
or $\left[ H ^{+}\right]\left[ OH ^{-}\right]=10^{-16}$
$\because \left[ H ^{+}\right]=\left[ OH ^{-}\right]$ for pure water
$\Rightarrow \left[ H ^{+}\right]=10^{-8}$
$\Rightarrow pH =8$ is neutral
$\therefore pH =7.5 < 8$ is acidic and hence turns blue litmus paper red.