Identify True (T) and False (F) statements of | vedclass

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(A) For a first order reaction,the rate law is given by $Rate = k[R]$.The half-life period $(t_{1/2})$ for a first order reaction is derived as $t_{1/

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$(i) T, (ii) T$

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(A) For a first order reaction,the rate law is given by $Rate = k[R]$.The half-life period $(t_{1/2})$ for a first order reaction is derived as $t_{1/2} = \frac{\ln(2)}{k} \approx \frac{0.693}{k}$.Since $t_{1/2}$ is independent of the initial concentration $[R]_0$,it can be expressed as $t_{1/2} \propto [R]_0^0$,which means $t_{1/2}$ is proportional to the initial concentration raised to the power of $0$.Both statements $(i)$ and $(ii)$ are correct. Therefore,the correct option is $(A)$.

Identify True $(T)$ and False $(F)$ statements of the following for a first order reaction $R \rightarrow P$.
$(i) \ t_{1/2} \propto [R]_0^0$
$(ii) \ t_{1/2} = \frac{0.693}{k}$

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Identify True $(T)$ and False $(F)$ statements of the following for a first order reaction $R \rightarrow P$.$(i) \ t_{1/2} \propto [R]_0^0$$(ii) \ t_{1/2} = \frac{0.693}{k}$