Fit to the Batch Data

Putting the data into vector notation for manipulation we have  

As we plan to do considerable graphing we set the options for the style of the graphs to make them most visible and then ListPlot the data. 

We shall want to fit this data csaltdata as seen in the preceding graph to the expression that we have derived because, as we can see from the data, the final concentration is less than 50% of that at saturation. To be safe we will fit just the early time data out to 1500 sec. One way to do this is to do a one parameter, nonlinear fit to the expression after we have simplified it by evaluating all the parameters. The first step is to obtain the fitted expression, evaluate it, and then compare it to the data. 

Here are the parameters relevant to the problem and their values followed by the function definition  

Calling Statistics NonlinearFit will allow us to fit the data with the command Non-linearFit, which we can then call g with the command g = % and, finally, we can Plot and Show g versus the data set  

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