Curve fitting the kinetic equation

1. R=R∞[1-exp -kt]

2. R= R∞ {1-1/ kt [1-exp(-kt)]}

3. R= R ∞ [1- 1/(1+t/k)]

4. R=R∞ (kt/1+kt)

5. R= R∞ kt/ 1+R∞kt

6. R= R∞{1-1/kt[in(1+kt)]}

where R is the recovery in %; k is the first-order rate constant, t is the time [s], and R∞ is the maximum (theoretical) recovery. These ara 6 example of Kinetic rate eqaction.

I have values of R and t, R∞ is a maximum value of R(recovery) and is atomatically takken , I want to know the value of k..? in this eqations

How to solve this eqactions by using "curve fitting toolbox "and finally plot the graph of time(t) v/s recovery (R)..?

Example values

Time(t)= 0 , 10, 30, 60,120, 210

Recovery(R) % = 0, 44.90, 71.39, 76.37, 82.81, 87.68

[Rohit Pappu]

As per my understanding, you would like to find the constant k , given t and R , using curve fitting. lsqcurvefit can be used for the above problem. You can find additional documentation here