Ncert Exercises & Solutions

The decomposition of hydrocarbon follows the equation k = (4.5 × 10¹¹s^–1) e^-28000K/T

Calculate Ea. For the reaction R

The given equation is k = (4.5 ×

10^{11} s^{- 1}) e^{- 28000 K / T} (i)

Arrhenius equation is given by,

k = A e^{- E_{a} / R T} (i i)

From equations (i) and (ii), we obtain

\frac{E_{a}}{R T} = \frac{28000 K}{T}

\Rightarrow E_{a} = R \times 28000 K

= 8.314 J K^{- 1} m o l^{- 1} \times 28000 K

= 232792 J m o l^{- 1}

= 232.792 K j m o l^{- 1}