Question

A graph of concentration versus time data for a first-order reaction gives a straight line in which of the following plots of the data?

• A. $[A{]}_t=-kt+[A{]}_0$
• B. $ln[A{]}_t=-kt+ln[A{]}_0$
• C. $\frac{1}{[A{]}_t}=kt+\frac{1}{[A{]}_0}$
• D. All of the above
• E. None of the above

Answer 1

The correct option is B $ln[A{]}_t=-kt+ln[A{]}_0$

For the first order reaction,

$\ln \frac{\left[A_o\right]}{\left[A_t\right]}=kt\therefore \ln \left[A_o\right]=kt+\ln {\left[A\right]}_t\therefore \ln [A{]}_t=-kt+\ln [A{]}_o$