Question

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?

Answer 1

The rate of reaction :

`R* 3=-(d[O_2])/(dt)`

`R* 2=(d[O_3])/(dt)`

`1.073* 10^(-5) mol/Ls` is the rate of appearance of an ozone.

Step-by-step 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.

`3O_2 (g)\rightarrow 2O_3 (g)`

a) Rate of the reaction = R

`R=(-1)/(3)(d[O_2])/(dt)=(1)/(2)(d[O_3])/(dt)`

Rate of the disappearance of the oxygen gas:
`-(d[O_2])/(dt)`

`R*3=-(d[O_2])/(dt)`

Rate of the appearance of the ozone gas:
`(d[O_3])/(dt)`

`R* 2=(d[O_3])/(dt)`

b)Rate of the disappearance of the oxygen gas:
`-(d[O_2])/(dt)=1.61* 10^(-5) mol/L s`

`R*3=-(d[O_2])/(dt)`

`R=(1.61* 10^(-5) mol/L s)/(3)=5.367* 10^(-6) mol/L s`

Rate of the appearance of the ozone gas:
`(d[O_3])/(dt)`

`R* 2=(d[O_3])/(dt)`

`5.367* 10^(-6) mol/L s* 2=(d[O_3])/(dt)`

`(d[O_3])/(dt)=1.073* 10^(-5) mol/Ls`

`1.073* 10^(-5) mol/Ls` is the rate of appearance of an ozone.