## 15.99, linear plots

$\frac{d[R]}{dt}=-k[R]; \ln [R]=-kt + \ln [R]_{0}; t_{\frac{1}{2}}=\frac{0.693}{k}$

Kayla Danesh 1F
Posts: 38
Joined: Thu Jul 13, 2017 3:00 am

### 15.99, linear plots

question 15.99 has multiple parts, one of which asks if the plot with the following description is linear: initial rate against [A] for a reaction that is first order in A

Why would this plot be linear? Thanks

Jakob von Morgenland 2C
Posts: 31
Joined: Sat Jul 22, 2017 3:00 am
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### Re: 15.99, linear plots

Using these plotting methods, a first order reaction would have a straight line because the rate is directly proportional to the concentration. If you were to plot a second order reaction using similar techniques, it would not be a straight line because a second order reaction's rate is proportional to the square of the concentration.