In: Chemistry
Q.1: A peace of coal or a peace of wood doesn't burn at normal temperature. When we start increasing the temperature, the activation energy for the combustion of coal is gradually achieved and the rate of the reaction gradually increases and the coal start burning at a faster rate.
We can give another example as at room temperature on troposphere the decomposition of O3 to O2 is very slow. However as we move to ionosphere the atmospheric temperature increases and hence the rate of decomposition of of O3 to O2 increases many fold.
Q.2: When we increase the temperature the rate constant increases and hence the rate of reaction increases.
Let's consider a chemical reaction with activation energy, Ea = 46 KJ/mol = 46000 J/mol
Suppose at T1 = 300K, the rate constant be 'k'
When the temperature increases by 80 DegC, T2 = 380 K.
Now the rate constant, k2 at 380K can be calculated from Arrhenius quation as
ln(k2 / k) = (Ea/R) x [1/T1 - 1/T2] = (46000J.mol-1 / 8.314 J.mol-1.K-1) x [1/300K - 1/380K]
=> ln(k2 / k) = 3.8827
=> k2/k = 48.6
=> k2 = 48.6 k
Hence the rate of reaction increases by 48.6