## error for 15.39 sixth edition

$\frac{d[R]}{dt}=-k[R]^{2}; \frac{1}{[R]}=kt + \frac{1}{[R]_{0}}; t_{\frac{1}{2}}=\frac{1}{k[R]_{0}}$

katherinemurk 2B
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Joined: Wed Nov 15, 2017 3:02 am

### error for 15.39 sixth edition

So the question asks to determine the time required for each reaction to take place. For part 1 it gives the reaction 2A ---> B + C. It also says these reactions are second order. If it is second order isn't the equation supposed to be 1/[A]t = 2kt + 1/[A]initial since there is a coefficient of 2 in front of the reactant. In the solutions it does not account for this 2. Is this an error or am I looking at it wrong?

Posts: 37
Joined: Mon Apr 23, 2018 3:00 am

### Re: error for 15.39 sixth edition

The equation is always 1/[A] = kt+1/[A]initial. The coefficients are only taken into account when considering concentrations of reactants/products, not rate constants.

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