Which of the following represents integrated rate law equation for gas phase first order reaction, $$\mathrm{A}_{(\mathrm{g})} \rightarrow \mathrm{B}_{(\mathrm{g})}+\mathrm{C}_{(\mathrm{g})}$$

if $$\mathrm{P}_{\mathrm{i}}=$$ initial pressure of $$\mathrm{A}$$

$$\quad\mathrm{P}=$$ total pressure of reaction mixture at time ?

The rate law equation for a reaction between $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ is $$\mathrm{r}=\mathrm{k}[\mathrm{A}][\mathrm{B}][\mathrm{C}]^2$$, what will be ne rate of reaction if concentration of both $$\mathrm{A}$$ and $$\mathrm{B}$$ are doubled.

Time required for $$90 \%$$ completion of a first order reaction is $$t$$. What is the time required for completion of $$99 \%$$ reaction?

The order of reaction for which the units of rate constant are $$\mathrm{mol} \mathrm{~dm}^{-3} \mathrm{~s}^{-1}$$ is