Question
Consider the given graph showing variation of reactant concentration with time. Three different reactions were started with identical initial concentration of reactants. Which of the following statement is correct?
Consider the given graph showing variation of reactant concentration with time. Three different reactions were started with identical initial concentration of reactants. Which of the following statement is correct?
B. The rate constant of reaction 3 is larger than the rate constant of reaction 2 if the order of reaction is same for both.
Analysis of the graph: The graph shows reactant concentration [R] vs time t for three reactions starting from the same initial concentration. Curve 1 is a straight line with negative slope. For a zero-order reaction, the integrated rate law is [R] = [R]_0 - kt, which is a straight line in [R] vs t. Hence, reaction 1 is a zero-order reaction. Curves 2 and 3 are non-linear (exponential-type decays), so they correspond to reactions of order greater than zero (e.g., first or second order). Evaluating the options: (1) The order of all three reactions is the same. Reaction 1 is zero order while reactions 2 and 3 are of higher order, so this statement is incorrect. (2) The rate constant of reaction 3 is larger than that of reaction 2, assuming both have the same order. Assuming both curves 2 and 3 correspond to the same order (say first order), the integrated rate law is [R] = [R]_0 e^ -kt . At any given time t, the curve for reaction 3 lies below that of reaction 2, i.e., [R]_3 k_2, and this statement is correct. (3) The SI unit of the rate constant of reaction 1 is s ^ -1 . For a zero-order reaction, Rate = k[R]^0 = k, so the unit of k is that of rate, i.e., mol L ^ -1 s ^ -1 . The unit s ^ -1 corresponds to a first-order reaction, so this statement is incorrect. (4) Thermal decomposition of HI on a gold surface is an example of reaction 2. The thermal decomposition of HI on a gold surface is a well-known zero-order reaction, which corresponds to curve 1, not curve 2. Hence this statement is incorrect. Therefore, the correct option is (2).
Related: Chemistry — Chemical Kinetics · All PYQ Banks