At $298 \, K$,a solution has a $pOH$ of $13$. The solution is: ......

If the ionic product of water $(K_w)$ is $1.96 \times 10^{-14}$ at $35^{\circ} C$, what is its value at $10^{\circ} C$?

Calculate the $[H_3O^+]$ concentration if the $pH$ of the solution is $4.25$.

The ionic product of water increases with which of the following changes?

The $pH$ of pure water at $80^{\circ} C$ is

$2$. Given below are two statements:
Statement $I$: The changes in $pH$ with temperature are so small that we often ignore them.
Statement $II$: When the hydrogen ion concentration changes by a factor of $100$,the $pH$ changes by one unit.
In the light of the above statements,identify the correct answer from the options given below: