LINEAR REGRESSION Question

dtdC(t)=kC2equation (1)

where k is the rate constant and n (positive integer) is the reaction order. In most cases, concentration is measured in moles per litre (M) and time in seconds (s) or minutes (min). The general solution of (1) is

C(t)=be(kt)equation (2)

for the first order reaction (n = 1),

C(t)1=b1+kt equation (3)

for the second order reaction (n = 2), and

2C2(t)1=2b21+ktequation (4)

for the third order reaction (n = 3).

From equations (2), (3) and (4), it can be seen that function C(t) has two parameters, namely b and k.

Fit the three model functions (2), (3) and (4) using the two data points below by means of linear regression.

Find the two parameters b and k of the three model functions (2), (3) and (4)using the two data points below.

Report the answers rounded to four significant figures

Time(min)Concentration(M)DataPoints

10 0.47

15 0.38