6. At 180 °C, the decomposition of a gaseous compound XO2 is a first order reaction with the half-life 38.6 min. The initial pressure of XO2 is 372.5 kPa.
a) What is the rate of decomposition of XO2 after 1 hour?

The rate of decomposition of XO2 after 1 hour :

Given

the half-life 38.6 min

time of decomposition = 1 hour

Required

the rate of decomposition

Solution

First-order reaction :

the half life=t1/2 :

so the rate constant (k) :

The rate after 1 hour=60 min :

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the answer is 303.15 or 303