It is found that a gas undergoes a first-order decomposition reaction. if the rate constant for this reaction is 8.1 x 10-2 /min, how long will it take for the concentration of the gas to change from an initial concentration of .1m to 1.0 x 10-2 m?

28.43 min

Explanation:

Using integrated rate law for first order kinetics as:

Where,  

is the concentration at time t

is the initial concentration

Given that:

The rate constant, k = min⁻¹

Initial concentration = 0.1 M

Final concentration = M

Time = ?

Applying in the above equation, we get that:-

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