Given below are two statements :
In the light of the above statements, choose the correct answer from the options given below :

• A

  Both Statement I and Statement II are true
• B

  Statement I is false but Statement II is true
• Correct answer
  C

  Statement I is true but Statement II is false
• D

  Both Statement I and Statement II are false

Solution

For first order reaction $\mathrm{t}_{1 / 2}=\frac{\ell \mathrm{n} 2}{\mathrm{k}}$
For first order reaction $\begin{aligned} & \log \frac{[R]_0}{[R]}=\frac{1}{2.303} \mathrm{kt} \\ & \log \frac{[\mathrm{R}]_0}{[\mathrm{R}]}=\left(\frac{\mathrm{k}}{2.303}\right) \times \mathrm{t} \end{aligned}$

Hence, the correct answer is option: 'C'.