At 298 K , the following reaction takes place for a cell at the hydrogen electrode

$$ \mathrm{H}^{+}(a q)+e^{-} \longrightarrow \frac{1}{2} \mathrm{H}_2 \text { (1 bar) } $$

The solution pH is 10.0 . What is the hydrogen electrode potential in volts?

$$ \left(\frac{2303 R T}{F}=0.06 \mathrm{~V}\right) $$

$A \rightarrow B$ is a first order reaction. The concentration of $A$ is decreased from $x \mathrm{~mol} \mathrm{~L}^{-1}$ to $y \mathrm{~mol} \mathrm{~L}^{-1}$ in 100 min . What is the average velocity of the reaction in $\mathrm{mol} \mathrm{L}^{-1} \min ^{-1}$ ?

The adsorption of a gas on a solid surface follows Freundlich adsorption isotherm. At $T(\mathrm{~K})$, the gas pressure is 2 atm . What is the value of $\frac{x}{m} ?(n=2$ and $k=$ constant $)$

Which one of the following acts as autocatalyst during titration of $\mathrm{KMnO}_4$ and oxalic acid in presence of dilute $\mathrm{H}_2 \mathrm{SO}_4$ ?