Which of the following statements is correct?

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(A) $1$. The temperature coefficient of a reaction is defined as the ratio of rate constants at two temperatures differing by $10 \ ^oC$. For most rea

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$10 \ ^oC$ rise in temperature leads to an increase in the rate of reaction by $2$ to $3$ times.

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(A) $1$. The temperature coefficient of a reaction is defined as the ratio of rate constants at two temperatures differing by $10 \ ^oC$. For most reactions,this value lies between $2$ and $3$. Thus,option $A$ is correct.$2$. $A$ catalyst provides an alternative pathway with lower activation energy,but it does not change the enthalpy change $(\Delta H)$ of the reaction. Thus,option $B$ is incorrect.$3$. An elementary reaction involves a single step. $A$ zero-order reaction is always complex (multi-step) because the rate of an elementary step depends on the concentration of reactants,which cannot be independent of concentration. Thus,option $C$ is incorrect.$4$. The half-life of a reaction depends on the order of the reaction. It is only constant for a first-order reaction. Thus,option $D$ is incorrect.

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