Just as the depletion of stratospheric ozone today threatens life on Earth today, its accumulation was one of the crucial processes that allowed life to develop in prehistoric times.

3 O2 (g) ---> 2 O3 (g)

a. Express the rate of reaction in terms of the rate of disappearance of O2 and the rate of appearance of O3.
b. At a given instant, the rate of disappearance of O2 is 1.61 x10^-5 mol/Ls. What is the rate of appearance of O3?

Respuesta :

Answer:

The rate of reaction :

[tex]R\times 3=-\frac{d[O_2]}{dt}[/tex]

[tex]R\times 2=\frac{d[O_3]}{dt}[/tex]

[tex]1.073\times 10^{-5} mol/Ls[/tex] is the rate of appearance of an ozone.

Explanation:

The rate of the reaction is defined as change in in the concentration of any one of the reactants or products per unit time.

[tex]3O_2 (g)\rightarrow 2O_3 (g)[/tex]

a) Rate of the reaction = R

[tex]R=\frac{-1}{3}\frac{d[O_2]}{dt}=\frac{1}{2}\frac{d[O_3]}{dt}[/tex]

Rate of the disappearance of the oxygen gas:[tex]-\frac{d[O_2]}{dt}[/tex]

[tex]R\times3=-\frac{d[O_2]}{dt}[/tex]

Rate of the appearance of the ozone gas:[tex]\frac{d[O_3]}{dt}[/tex]

[tex]R\times 2=\frac{d[O_3]}{dt}[/tex]

b)Rate of the disappearance of the oxygen gas:[tex]-\frac{d[O_2]}{dt}=1.61\times 10^{-5} mol/L s[/tex]

[tex]R\times3=-\frac{d[O_2]}{dt}[/tex]

[tex]R=\frac{1.61\times 10^{-5} mol/L s}{3}=5.367\times 10^{-6} mol/L s[/tex]

Rate of the appearance of the ozone gas:[tex]\frac{d[O_3]}{dt}[/tex]

[tex]R\times 2=\frac{d[O_3]}{dt}[/tex]

[tex]5.367\times 10^{-6} mol/L s\times 2=\frac{d[O_3]}{dt}[/tex]

[tex]\frac{d[O_3]}{dt}=1.073\times 10^{-5} mol/Ls[/tex]

[tex]1.073\times 10^{-5} mol/Ls[/tex] is the rate of appearance of an ozone.