Regarding the half-life period of a first-ord | vedclass

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(D) For a first-order reaction,the half-life is given by $t_{1/2} = \frac{0.693}{k}$.$(A)$ It is independent of initial concentration,which is true.$(

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It increases with increase of temperature.

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(D) For a first-order reaction,the half-life is given by $t_{1/2} = \frac{0.693}{k}$.$(A)$ It is independent of initial concentration,which is true.$(B)$ It depends on the rate constant $k$,which is temperature-dependent according to the Arrhenius equation $k = Ae^{-E_a/RT}$. Thus,it is not independent of temperature.$(C)$ $A$ catalyst provides an alternative pathway with lower activation energy,increasing $k$ and decreasing $t_{1/2}$,which is true.$(D)$ As temperature increases,$k$ increases,so $t_{1/2}$ decreases. Therefore,the statement that it increases with an increase in temperature is false.

Time	$t$	$\infty$
$P_{\text{system}}$	$P_t$	$P_{\infty}$

Regarding the half-life period of a first-order reaction,which one of the following statements is generally false?

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