Which of the following statements is correct?

  • A
    $10 \ ^oC$ rise in temperature leads to an increase in the rate of reaction by $2$ to $3$ times.
  • B
    The enthalpy of reaction $(\Delta H)$ depends on the catalyst.
  • C
    $A$ zero-order reaction may be elementary.
  • D
    The half-life of every reaction is constant.

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The consecutive reaction $X$ $\longrightarrow Y$ $\longrightarrow Z$ takes place in a closed container. Initially,the container has $A_{0}$ moles of $X$ (and no $Y$ and $Z$). The plot of total moles of the constituents in the container as a function of time will be:

An endothermic reaction with a high activation energy for the forward reaction is represented by the diagram:

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$A$ substance $S$ undergoes two reactions under similar reaction conditions:
$\mathop S\limits_{(2.0 \ M)} \xrightarrow{K_0} X$ (zero order)
$\mathop S\limits_{(2.0 \ M)} \xrightarrow{K_2} Y$ (second order)
The time taken for the concentration of $S$ to become half is $40 \ s$ and $10 \ s$ for the zero-order and second-order reactions,respectively. What is the value of the ratio $K_0 / K_2$?

Write equations of the following:
$(i)$ The integrated rate equation for a zero-order reaction.
$(ii)$ The integrated rate equation for a first-order reaction.

The decomposition of $N_2O_5$ follows first-order kinetics: $N_2O_5 \rightarrow 2NO_2 + \frac{1}{2} O_2$. Its half-life is $2.4 \ hours$. If $10.8 \ g$ of $N_2O_5$ is taken initially,how many liters of $O_2$ will be obtained at $STP$ after $9.6 \ hours$?

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