2. Given below are two statements:Statement I | vedclass

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(C) small change in temperature has little impact on the $pH$ of a solution as the concentration of the $H^{+}$ ions does not change significantly.Thu

Vedclass · Accepted Answer

Statement $I$ is correct but statement $II$ is not correct.

Vedclass · Answer

(C) small change in temperature has little impact on the $pH$ of a solution as the concentration of the $H^{+}$ ions does not change significantly.Thus,statement $I$ is correct.$pH = -\log [H^{+}]$.If the hydrogen ion concentration $[H^{+}]$ changes by a factor of $100$,let the initial concentration be $[H^{+}]_1$ and the final be $[H^{+}]_2 = 100 [H^{+}]_1$.The change in $pH$ is $\Delta pH = pH_2 - pH_1 = -\log (100 [H^{+}]_1) - (-\log [H^{+}]_1) = -\log (100) - \log [H^{+}]_1 + \log [H^{+}]_1 = -2$.Thus,the $pH$ changes by $2$ units,not $1$ unit.Therefore,statement $II$ is incorrect.

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