JEE MAIN - Chemistry (2025 - 24th January Evening Shift - No. 15)
Given below are two statements :
Statement (I) : _24th_January_Evening_Shift_en_15_1.png)
is valid for first order reaction.
Statement (II) : _24th_January_Evening_Shift_en_15_2.png)
is valid for first order reaction.
In the light of the above statements, choose the correct answer from the options given below :
Both Statement I and Statement II are false
Statement I is true but Statement II is false
Statement I is false but Statement II is true
Both Statement I and Statement II are true
Explanation
For first order reaction $\mathrm{t}_{1 / 2}=\frac{\ell \mathrm{n} 2}{\mathrm{k}}$
_24th_January_Evening_Shift_en_15_3.png)
$$\begin{aligned} &\text { For first order reaction }\\ &\begin{aligned} & \log \frac{[\mathrm{R}]_0}{[\mathrm{R}]}=\frac{1}{2.303} \mathrm{kt} \\ & \log \frac{[\mathrm{R}]_0}{[\mathrm{R}]}=\left(\frac{\mathrm{k}}{2.303}\right) \times \mathrm{t} \end{aligned} \end{aligned}$$
_24th_January_Evening_Shift_en_15_4.png)
Options (4)
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