If compound A reacts with B following first order kinetics with rate constant $2.011 \times 10^{-3} \mathrm{~s}^{-1}$. The time taken by $\mathrm{A}$ (in seconds) to reduce from to will be ___________. (Nearest Integer)

For the reaction P $\to$ B, the values of frequency factor A and activation energy E_A are 4 $\times$ 10¹³ s^$-$1 and 8.3 kJ mol s K.

The equation
k = (6.5 $\times$ 10¹²s^$-$1)e^$-$26000K/T
is followed for the decomposition of compound A. The activation energy for the reaction is ________ kJ mol. [nearest integer]

For a reaction $\mathrm{A} \rightarrow 2 \mathrm{~B}+\mathrm{C}$ the half lives are $100 \mathrm{~s}$ and when the concentration of reactant is and respectively. The order of the reaction is ______________ . (Nearest Integer)

$\mathrm{r}=\mathrm{k}[\mathrm{A}]$ for a reaction, $50 \%$ of $\mathrm{A}$ is decomposed in 120 minutes. The time taken for decomposition of is _________ minutes.

Consider the following reaction, the rate expression of which is given below

$\begin{aligned} & \mathrm{A}+\mathrm{B} \rightarrow \mathrm{C} \\ & \text { rate }=\mathrm{k}[\mathrm{A}]^{1 / 2}[\mathrm{~B}]^{1 / 2} \end{aligned}$

Consider the two different first order reactions given below

$\begin{aligned} & \mathrm{A}+\mathrm{B} \rightarrow \mathrm{C} \text { (Reaction 1) } \\ & \mathrm{P} \rightarrow \mathrm{Q} \text { (Reaction 2) } \end{aligned}$