The rate constant of a first-order reaction is 3.46 × 10−2 s−1 at 298 K. What is the rate constant at 350 K if the activation energy for the reaction is 50.2 kJ/mol

is the rate constant at 350 K if the activation energy for the reaction is 50.2 kJ/mol.

Explanation:

According to the Arrhenius equation,

or,

where,

= rate constant at 298 K=

= rate constant at 350 K =?

= activation energy for the reaction = 50.2 kJ/mol = 50200 J/mol

R = gas constant = 8.314 J/mole.K

= initial temperature = 298 K

= final temperature = 350 K

Now put all the given values in this formula, we get:

is the rate constant at 350 K if the activation energy for the reaction is 50.2 kJ/mol.

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