Time and concentration data were collected for the reaction A ⟶ products t (s) [A] (M) 0 0.52 20 0.43 40 0.34857 60 0.28538 80 0.23365 100 0.19130 The blue curve is the plot of the data. The straight orange line is tangent to the blue curve at t = 40 s. A plot has the concentration of A in molar on the y axis and time in seconds on the x axis. A curve contains the points (0, 0.52), (20, 0.43), (40, 0.35), (60, 0.29), (80, 0.24), and (100, 0.20). A line touches the curve at (40, 0.35) and has a y intercept of (0, 0.48). Approximate the instantaneous rate of this reaction at time t = 40 s.

Instantaneous rate of reaction is the rate of reaction at certain point of time. The instantaneous rate for given reaction is at 40 second is -0.00325 mol/L/s.

Instantaneous rate of reaction:

This is the rate of reaction at certain point of time.

For given reaction instantaneous rate can be calculated as,

Where,

y- concentration

x - time

Therefore, the instantaneous rate for given reaction is at 40 second is -0.00325 mol/L/s.

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Explanation:

A ⟶ Products

I plotted your blue curve and the orange line in the diagram below.

Calculate the instantaneous rate

The instantaneous rate of reaction is the negative slope of the orange line.