Q12 of 31 Page 1

The rate constant for the first order decomposition of is given by the following equation:


Calculate Ea for this reaction and rate constant if its half-life period be 200 minutes.


(Given: R = 8.314 JK-1 mole-1)

Given:


…(1)


(decomposition of H2O2)


To find out the Ea for the reaction, we apply the formula:


….(2)


On comparing equation 1 and 2, we get



⇒ Ea = 2.303 × 8.314 JK-1 mole-1× 10-4


⇒ Ea = 19.147 kJ/mol


Thus, the Eaof the reaction is 19.147 kJ/mol


Now, to find out the k (rate constant) for the reaction, we apply the


formula:



As t1/2 = 200 minutes (given)


∴


⇒ k = 3.465 × 10-3 min-1


Thus, the rate constantof the reaction is 3.465 × 10-3 min-1


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