I want to plot Langmuir Isotherm graph (ce/qe vs ce) at different temperatures. Given the linear form of Langmuir model: ce/qe= 1/qmb + (1/qm) ce. Where qm=the theoretical monolayer saturation capacity, Ce = the equilibrium concentration of the adsorbate (mg/l), qe= the amount of adsorbate adsorbed per unit mass of adsorbate adsorbed per unit mass of adsorbent (mg/l), b = a constant related to the affinity between the adsorbent and the adsorbate. The Isotherm data is attached below. Best regards!
Emmanuel, you need a set of values of Ce and qe for a given temperature, for example, 15 values for 15, 20, 25, 30 ... degrees of temperature
Hi there,
As Mr Alexis Otero-Calvis mentioned correctly, you need more values of Ce and qe for each temperature in order to plot the isotherms. You need at least 3 or 4 data points of (Ce, Ce/qe) for each temperature not just 1 data point. So do your experiments with at least 3 or 4 solutions with different initial concentrations to achieve different values of (Ce, Ce/qe) for each temperature. Repeat the experiment at different temperatures.
good luck.
A small warning! The two above suggestions are to the point, but the maximum adsorption should in principle be the same because the temperature is not affecting the total available number of adsorption sites. When the max. adsorption is different for the different temperatures the Langmuir equation is not describing the adsorption mechanism correctly.
Too little data to calculate anything. One point selected from the equilibrium curve for different temperatures is not enough to determine qm and K, and then possibly the thermodynamic parameters ..