brad.willo2670 wrote:Differential vs Integrated rate laws:

To this point I have had minimal issue with these kinds of questions but something has just confused me regarding the graphing of these laws.

Example 1st order reaction:

Differential equation - rate = k(x)

Integrated equation - ln(X)t = -kt + ln(x)o

My question: is the differential equation ever graphed, or is it always the integrated equation? The integrated equation providing concentration vs time graph.

I have never seen 'rate' on an axis which is what came to confuse me. Does the differential equation simply provide a representation of the relationship of the concentration to the rate as opposed to something that would be directly graphed?

Thanks in advance!

Any mathematical relationship can be graphed. It's just that some graphs are more useful for science than others.

It is definitely within the purview of the GAMSAT that you should be able to be flexible enough to consider what a graph, that you have never seen, should look like (more or less). For example, knowing that y = mx + c is the equation of a straight line, then given rate = k(x), we can confidently say that a graph of rate vs concentration (x) is a straight line with positive slope which intersects the y axis at point 0 (the y intercept).