This is a question about Chapter 16 Problem 18 in Principles of general chemistr

Question

This is a question about Chapter 16 Problem 18 in Principles of general chemistry second edition. In determining the average rate over an entire experiment, do I need to take the coefficients of the reactants into account? In the reaction 2NOBr(g)->2NO(g)+Br2(g) given a set of data for the concentration of 2NOBr over time, why wouldn't I need to include a factor of 1/2 to account for the coefficient 2 of NOBr in the formula for calculating the average rate?

In the answers for Principles of general chemistry second edition chapter 16 problem 12, the answer includes a (1/2) factor and explains it by stating that it is accounting for the coefficient 2 in front of AX2 in the equation 2AX2(g)->2AX(g)+X2(g). Both have basically the same decomposition reaction occuring and both have the exact same coefficients and both questions ask for the "average rate over the entire experiment".

Explanation / Answer

we need to take 1/2 into account here

as

2dNOBR/dt = 2d NO/dt   = d BR2/dt

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