Question

The decay of chlorine in a well-mixed, 1000 L water storage tank follows first-order decay with a reaction rate coefficient of 0.360 d-1 . If the concentration of chlorine is 1.00 mg/L at time zero, what will the concentration be one day later? Assume no water flows into or out of the tank.

Answer 1

Answer:

0.6977 mg/L will the concentration be one day later.

Explanation:

Using integrated rate law for first order kinetics as:

$[A_t]=[A_0]e^{-kt}$

Where,  

$[A_t]$ is the concentration at time t

$[A_0]$ is the initial concentration = 1.00 mg/L

k is the rate constant = 0.360 d⁻¹

time = 1 day

So,  

$[A_t]=1.00\times e^{-0.360\times 1}\ mg/L=0.6977\ mg/L$

0.6977 mg/L will the concentration be one day later.