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

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(A) For a first-order reaction,the integrated rate law is given by: $[R] = [R]_{0} e^{-kt}$ Taking the natural logarithm on both sides: $\ln [R] = \ln

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$i-T, ii-F$

Vedclass · Answer

(A) For a first-order reaction,the integrated rate law is given by: $[R] = [R]_{0} e^{-kt}$ Taking the natural logarithm on both sides: $\ln [R] = \ln ([R]_{0} e^{-kt})$ Using the property $\ln(ab) = \ln a + \ln b$: $\ln [R] = \ln [R]_{0} + \ln(e^{-kt})$ Since $\ln(e^x) = x$: $\ln [R] = -kt + \ln [R]_{0}$ Comparing this with the given statements: Statement $(i)$ is $\ln [R] = -kt + \ln [R]_{0}$,which is $True$ $(T)$. Statement $(ii)$ is $\ln [R] = +kt + \ln [R]_{0}$,which is $False$ $(F)$. Therefore,the correct option is $i-T, ii-F$.

Identify $True$ $(T)$ and $False$ $(F)$ statements for the following equations related to a first-order reaction $R \rightarrow P$:
$(i) \ln [R] = -kt + \ln [R]_{0}$
$(ii) \ln [R] = +kt + \ln [R]_{0}$

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Identify $True$ $(T)$ and $False$ $(F)$ statements for the following equations related to a first-order reaction $R \rightarrow P$:$(i) \ln [R] = -kt + \ln [R]_{0}$$(ii) \ln [R] = +kt + \ln [R]_{0}$