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Consider the following overall reaction: A+B rightarrow P. The proposed mechanis

ID: 510257 • Letter: C

Question

Consider the following overall reaction: A+B rightarrow P. The proposed mechanism for this reaction is as shown below. a. Based on the proposed mechanism, derive a differential equation as a function of only the reactants and the final product. b. In one experiment, you mix equal concentrations of A and B in an effort to determine the reaction velocity and half-life of the reaction. Based on your answer from Part A, predict the results for the below scenarios: i. If you double the initial concentrations of A and B, what will happen to the reaction velocity? ii. If you double the initial concentrations of A and B, what will happen to the doubling time? iii. If you increase the initial concentration of B ten-fold while holding A constant, what will happen to the initial velocity?

Explanation / Answer

2,a, from given equations , we get

K1= A2/{A}2 , K2= {C}/{A}{B} also, dP/dt = K3{A2}{C} on arranging dP/dt = K3K2K1{A}3{B}

b, i, no effect as reaction velocity or kinetic coefficient K are independent of concentration

ii, doubling velocity will become 1/16

iii, initial velocity becomes 10 times