Chapter 23, Problem 27P

Chemical reactions often follow the model:

$\frac{dc}{dt}=-k{c}^n$

where $c=$ concentration, $t=$ time, $k=$ reaction rate, and $n=$ reaction order. Given values of c and $dc/dt$, k and n can be evaluated by a linear regression of the logarithm of this equation:

$\log \left(-\frac{dc}{dt}\right)=\log k+n\log c$

Use this approach along with the following data to estimate k and n:

t	10	20	30	40	50	60
c	3.52	2.48	1.75	1.23	0.87	0.61