For a reaction $A \to$ Products,a plot of $\log\,t_{1/2}$ versus $\log\,a_0$ is shown in the figure. If the initial concentration of $A$ is represented by $a_0,$ the order of the reaction is

  • A
    $1$
  • B
    $0$
  • C
    $2$
  • D
    $3$

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The rate constant of the reaction $A \rightarrow B$ is $0.6 \times 10^{-3} \, mol \, L^{-1} \, s^{-1}.$ If the concentration of $A$ is $5 \, M,$ then the concentration of $B$ after $20$ minutes is ......... $M.$

Mention True $(T)$ and False $(F)$ statements for the following expressions related to a zero-order reaction $R \to P$:
$I. \ k = \frac{[R]_0}{2 t_{1/2}}$
$II. \ t_{1/2} = \frac{[R]_0}{4k}$

Consider the data given below for the hypothetical reaction $A \to X$:
$Time \ (s)$$Rate \ (mol \ L^{-1} s^{-1})$
$0$$1.60 \times 10^{-2}$
$10$$1.60 \times 10^{-2}$
$20$$1.60 \times 10^{-2}$
$30$$1.60 \times 10^{-2}$

From the above data,the order of the reaction is:

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