West Bengal Board-2018

What is meant by instantaneous reaction rate?

Derive an integrated rate equation for a first order reaction.

Draw the graph of half-life period $\left({\mathrm{t}}_{\frac{1}{2}}\right)$ versus initial concentration of reactant $\left({\left[\mathrm{a}\right]}_0\right)$ for a zero order reaction. Give reasons in favour of your answer.

The rate of a reaction at $400 \mathrm{K}$ is $10$ times than the rate of the reaction at $200 \mathrm{K}$. Calculate activation energy of the reaction.

The unit of rate constant of a chemical reaction is ${\mathrm{L}}^2{\mathrm{mol}}^{-2}{\mathrm{s}}^{-1}$. Calculate order of the reaction.

The rates of a first order reaction after $10 \mathrm{mins}$ and $20 \mathrm{mins}$ from the commencement of the reaction are $0.04 \mathrm{mol} {\mathrm{L}}^{-1} {\mathrm{s}}^{-1}$ and $0.03 \mathrm{mol} {\mathrm{L}}^{-1} {\mathrm{s}}^{-1}$ respectively. Calculate half-life period of the reaction.

Show that the time required for $99\%$ completion of a first order reaction is twice the time required for $90\%$ completion of that reaction.

The half-life of a zero order reaction is $\mathrm{x}$ second. If the reaction takes ${\mathrm{t}}_1$ second to complete, calculate ${\mathrm{t}}_1$ in terms of $\mathrm{x}$.