We’re being asked to determine the order of the reaction with respect to [A], and what is the rate equation based on the reaction and data given.

Recall that the **rate law** only focuses on the reactant concentrations and has a general form of:

$\overline{){\mathbf{rate}}{\mathbf{}}{\mathbf{law}}{\mathbf{=}}{\mathbf{k}}{\left[\mathbf{A}\right]}^{{\mathbf{x}}}{\left[\mathbf{B}\right]}^{{\mathbf{y}}}}$

k = rate constant

A & B = reactants

x & y = reactant orders

We will calculate the rate order first. Since we only have one reactant, we can use any of the data interval given:

$\frac{\mathbf{rate}\mathbf{}\mathbf{2}}{\mathbf{rate}\mathbf{}\mathbf{1}}\mathbf{=}\frac{{\displaystyle {\left[\mathbf{A}\right]}^{\mathbf{x}}\mathbf{}\mathbf{at}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{2}}}{{\displaystyle {\left[\mathbf{A}\right]}^{\mathbf{x}}\mathbf{}\mathbf{at}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{1}}}$

*x = order*

For the reaction A ⟶ B + C, the following data were obtained at 30 °C:

(a) What is the order of the reaction with respect to [A], and what is the rate equation?

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Our data indicates that this problem or a close variation was asked in Chemistry - OpenStax 2015th Edition. You can also practice Chemistry - OpenStax 2015th Edition practice problems.