# How to obtain the linear form of Redlich Peterson isotherm model by algebraic transformation or any other ways? [closed]

The Redlich Peterson isotherm model is known as: \begin{aligned} q_e=\frac{AC_e}{1+BC^g_e} \end{aligned} Is there any way to obtain the linear form of this equation by algebraic transformation or any ohter ways(like using software origin)?In other words,given that $$q_e$$ and $$C_e$$ as variables and A,B,g as parameters,how can I make linear fitting based on this equation?

• What about taking logs on both sides? Feb 14, 2020 at 5:12
• @M. Farooq I am not sure of it.Could you give details?
– Chor
Feb 14, 2020 at 5:27
• If you are familiar with Origin (which you suggest) you can fit your data directly. To get initial values for the fitting, for A try the value of q when C is small, and A/B when C is large. Feb 14, 2020 at 12:05
• If you want to use a linear form rearrange to $\displaystyle \frac{C}{q}=\frac{1}{A}+\frac{B}{A}C^g$ and a plot $C^g$ vs $C/q$ which has intercept $1/a$ and slope $B/A$. Feb 14, 2020 at 16:51
• Directly fitting the equation, as per the first comment by @porphyrin, is the best way to proceed: it does not alter the noise structure and programs like Origin make this curve fitting trivially simple. The linearization idea is from the days before curve fitting software. Personally, I wish it would fade away.
– Ed V
Feb 14, 2020 at 17:12