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At a certain temperature $T$,if the conductivity of pure water is $5.5 \times 10^{-7} \ S \ cm^{-1}$,calculate the $pH$ of water at the given temperature. Given: $\lambda_{H^{+}}^\infty = 350 \ S \ cm^2 \ eq^{-1}$ and $\lambda_{OH^{-}}^\infty = 200 \ S \ cm^2 \ eq^{-1}$.

The $pH$ of human blood is $7.4$. The $[H^{+}]$ concentration will be:

Calculate $[OH^{-}]$ and $pH$ of a solution containing $[H^{+}] = 0.001 \ M$.

The ionic product of water at $25\,^{\circ}C$ is $10^{-14}$. The ionic product at $90\,^{\circ}C$ will be

At $50\,^oC$,the $pH$ of pure water will be ........... (Given: $pK_w = 13.26$ at $50\,^oC$)

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