In a first-order decomposition reaction. 25.5% of a compound decomposes in 11.3 min. how long (in min) does it take for 82.3% of the compound to decompose?

66.5 min does it take for 82.3% of the compound to decompose.

Explanation:

Using integrated rate law for first order kinetics as:

Where,  

is the concentration at time t

is the initial concentration

Given:

25.5 % is decomposed which means that 0.255 of is decomposed. So,

= 1 - 0.255 = 0.745

t = 11.3 min

k = 0.02605 min⁻¹

Also,  

Given:

82.3 % is decomposed which means that 0.823 of is decomposed. So,

= 1 - 0.823 = 0.177

t = ?

t = 66.5 min

66.5 min does it take for 82.3% of the compound to decompose.