For a first-order reaction R P at a given temperature, k is the rate constant. For this reaction, at the given temperature, the concentrations of R and P at a time t are [ R ] and [ P ] , respectively. The correct graphical representation(s) for this reaction is(are)

Step-by-step solution

For a first-order reaction R P , the rate law is given by: - d [ R ] d t = d [ P ] d t = k[ R ] Integrating this, the concentration of the reactant at time t is [ R ] = [ R ]₀ e^ -kt . The concentration of the product at time t is [ P ] = [ R ]₀ - [ R ] = [ R ]₀ (1 - e^ -kt ) . The plot of [ P ] versus t follows the equation [ P ] = [ R ]₀ (1 - e^ -kt ) . This represents a curve that starts from the origin and is concave down, approaching a constant value [ R ]₀ . The graph in (A) is concave up, making it incorrect