The rate law for the reaction : r=k.[A]²
Further explanation
Given
Reaction
A ⟶ B + C
Required
The rate law
Solution
The rate law is a chemical equation that shows the relationship between reaction rate and the concentration / pressure of the reactants
For the second-order reaction it can be:
1. the square of the concentration of one reactant.
![\tt r=k[A]^2](https://img.qammunity.org/2022/formulas/chemistry/high-school/xgldq32lqhsc01zo6izwvyp29e6qjoyzew.png)
2. the product of the concentrations of two reactants.
![\tt r=k[A][B]](https://img.qammunity.org/2022/formulas/chemistry/high-school/dyjlftj2kltkjzx7vxr6nrsh696fior7uy.png)
And the reaction should be(for second order) :
2A ⟶ B + C
Thus, for reaction above (reactant consumption rate) :
![\tt r=-(\Delta A)/(2\Delta t)=k[A]^2](https://img.qammunity.org/2022/formulas/chemistry/high-school/rfzaa27uw68knxo8gwvyv8v15m3vgliead.png)