For two different chemical reactions, the following graphical behaviors are observed: Reaction A: A plot of the rate of reaction versus the concentration of the reactant is a straight line passing through the origin. Reaction B: A plot of the half-life of the reaction versus the initial concentration of the reactant is a straight line passing through the origin. The order of Reaction A and Reaction B, respectively, a

Step-by-step solution

For Reaction A, the plot of rate versus concentration is a straight line passing through the origin. This implies that the rate is directly proportional to the concentration of the reactant (Rate = k[R] ). This is the characteristic of a first-order reaction. For Reaction B, the plot of half-life ( t_ 1/2 ) versus initial concentration ( [R]₀ ) is a straight line passing through the origin. This indicates that the half-life is directly proportional to the initial concentration ( t_ 1/2 = [R]₀ 2k ). This is the char