Which of the following would give a linear plot? (\(k\) is the rate constant of an elementary reaction and \(\mathrm{T}\) is temp. in absolute scale)

• A

  k vs T
• B

  \(\mathrm{k~vs~} 1 / \mathrm{T}\)
• C

  In k vs T
• Correct answer
  D

  \(\ln \mathrm{k~vs~} 1 / \mathrm{T}\)

Solution

Hint : Arrhenius equation gives us \(\begin{aligned} & k=A e^{-E_a / R T} \\ & \ln k=\ln A-\frac{E_a}{R}\left(\frac{1}{T}\right) \\ & y=c-m x \end{aligned}\)

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