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We’re being asked for the initial rate of the reaction (in mol∙L^{-1}∙s^{-1}) based on the graph given.

An **instantaneous reaction rate** is the rate at a particular moment in the reaction and is usually determined graphically and can be calculated as:

$\overline{){\mathbf{r}}{\mathbf{a}}{\mathbf{t}}{\mathbf{e}}{\mathbf{=}}\frac{\mathbf{\u2206}\left[\right]}{\mathbf{\u2206}\mathbf{t}}}$

Δ[ ] = change in concentration

Δt = change in time

For the initial rate, we’ll look at the smallest time possible and determine the concentration at that time. The graph below has a 10-second increments.

What is the initial rate of the reaction (in mol•L•s ^{–1}) depicted by this graph?

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Based on our data, we think this problem is relevant for Professor Fleming's class at TEMPLE.