The reactions which occur in blast furnace at 500 – 800 K during extraction of iron from haematite are
i. \(3Fe_2O_3 + CO \rightarrow 2Fe_3O_4 + CO_2\)
ii. \(Fe_2O_3 + 3C \rightarrow 2Fe + 3CO\)
iii. \(FeO + 4CO \rightarrow 3Fe + 4CO_2\)
iv. \(FeO + CO \rightarrow 2FeO + CO_2\)
A certain reaction is 50 complete in 20 minutes at 300 K and the same reaction is 50 complete in 5 minutes at 350 K. Calculate the activation energy if it is a first order reaction. Given: \[ R = 8.314 \, \text{J K}^{-1} \, \text{mol}^{-1}, \quad \log 4 = 0.602 \]