Tangent

[ng1D]

How do we show how the instantaneous rate is obtained by drawing a tangent to the graph of concentration versus time? Is there an equation or graph we need to know?

[Brian_Ho_2B]

The tangent line, or more importantly, its slope, is the instantaneous rate of change of the dependent variable (concentration) with respect to the independent variable (time). It's basically the concept of a derivative. The derivative is the function with respect to time that we use to calculate the instantaneous rate of change at any time. The value of that rate is the slope of the tangent line at that given time.

[Sam McNeill 1E]

Also, depending on the order, the slope of the linear line is equal to either -k(in 0 and 1st order) or k (in 2nd order).

[ShastaB4C]

You don’t usually need to find the tangent of the graph bc if you graphed they concentrations accordingly by their order, then the graph is linear so u just look in respect to its slope.