Answer:
Explanation:
A first-order reaction is a reaction that proceeds at a rate that depends linearly on only one reactant concentration.
We can Use the following First order kinetic equation for first-order reactions:
ln [A]t / [A]0 = - kt
where k= rate, t= time, [A]t= concentration after the elapsed time
and [A]0 =initial concentration.
Step 1: Calculation of the time (t)
Given initial concentration = [A]0 = 0.010 M K =0.21 /hr
time(t)= we need to find and concentration at time t = [A]t = [ 0.010 - 90% of 0.010 ] M = 0.001 M
So by using the first order kinetics equation
ln [A]t / [A]0 = - kt
=> ln [0.001] / [0.010 ] = -0.21 / hr × t
=> -2.302585093 = -t× 0.21 /hr
=> t= 10.965 hr
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