A 1.0 mol sample of X(g) and a 1.0 mol sample of Q(g) are introduced into an evacuated, rigid 10.0 L container and allowed to re
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The rate equation for a first order reaction can be expressed as follows:
In this context, k represents the reaction's rate constant, t denotes the time the reaction takes, is the initial concentration, and
is the concentration at time t.
The rate constant of the reaction is .
(a) If we start with an initial concentration of 100, when 90% of the substance is eliminated, the remaining quantity at time t will be 100-90=10. By substituting the values,
The time required to destroy 90% of the substance amounts to 23.03 days.
(b) If the initial concentration is set at 100, when 99% is destroyed, the present amount at time t will be 100-99=1. By substituting the input values,
This results in a duration of 46.06 days required to eradicate 99% of the chemical.
(c) Should the initial concentration be set at 100, with 99.9% of the chemical removed, the remaining quantity at time t will be 100-99.9=0.1. Substituting the values yields
Thus, the time needed to eliminate 99.9% of the chemical is calculated as 69.09 days.