At `25^(@)` a certain reaction with a temperature coefficient of 2 takes four hours for its completion. What is the likely temperature at which the reaction would take half an hour for its completion?

Explanation

Let the rate of the reaction at `25^(@)C` is R.
The reaction takes 30min for its completion when its rate is 8 times of its rate `25^(@)C` i.e. 8R.
`{:("Reaction - Rate",R,2R,4R,8R),("Temperature",25^(@)C,35^(@)C,45^(@)C,55^(@)C):}`
`therefore` Thus , the reaction is likely to complete in half an hour at around `55^(@)C` .