Which of the following plot represents the variation of $\ln \mathrm{k}$ versus $\frac{1}{T}$ in accordance with Arrhenius equation?

• A

  
  
• B

  
  
• Correct answer
  C

  
  
• D

  
  

Solution

Using Arrhenius equation, $\mathrm{k}=\mathrm{Ae}^{-\mathrm{E}_{\mathrm{a}} / R T}$ $\mathrm{k}=\mathrm{Ae}^{-\mathrm{E}_{\mathrm{a}} / R T}$ $\ln k=\ln A-\frac{E_a}{R T}$ $y=c+m x, \quad$ slope $(m)=-\frac{E_a}{R}$ Intercept $=\ln \mathrm{A}$

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