Question

Ozone decomposes to oxygen according to the equation 2O₃(g) ⟶ 3O₂(g). Write the equation that relates the rate expressions for this reaction in terms of the disappearance of O₃ and the formation of oxygen.

a) rate = -d[O₃]/dt = (3/2)d[O₂]/dt
b) rate = -2d[O₃]/dt = 3d[O₂]/dt
c) rate = -3d[O₃]/dt = 2d[O₂]/dt
d) rate = d[O₃]/dt = (2/3)d[O₂]/dt

Answer 1

The rate equation that links the disappearance of ozone (O₃) to the formation of oxygen (O₂) is rate = -d[O₃]/dt = (3/2)d[O₂]/dt. Therefore, correct option is a.

Step-by-step explanation:

The equation that relates the rate expressions for the reaction where ozone decomposes to oxygen (2O₃(g) → 3O₂(g)) in terms of the disappearance of O₃ and the formation of oxygen is given by the equation:

rate = -d[O₃]/dt = (3/2)d[O₂]/dt

This shows the relationship between the decrease in the concentration of ozone and the increase in the concentration of oxygen. Since 2 moles of ozone produce 3 moles of oxygen, the rate at which ozone disappears, when multiplied by 3/2, equals the rate at which oxygen is produced.