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Graphing Rates

# Graphing Rates - Date Name Class Use the following table to...

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Date: Name: Class: Use the following table to answer the questions regarding the equation below: A + B 2C + D Time (s) [A] (mol/L) [C] (mol/L) 0.00 3.20 0.00 3.00 2.42 1.58 6.00 1.95 2.50 9.00 1.63 3.14 12.00 1.40 3.62 15.00 1.23 3.94 18.00 1.10 4.18 1. (a) On a set of concentration-time axes, plot a graph of [A] versus time. Use the grid below, a separate sheet of graph paper, or a spreadsheet program. (b) Explain the shape of the graph. (c) Draw a secant to the curve in the interval from t = 0.0 s to t = 3.0 s. Determine the slope of the secant.

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Date: Name: Class: (d) What is the average rate of decrease of [A] from t = 0.0 s to t = 3.0 s? (e) What is the average rate of decrease of [A] between 3.0 s and 6.0 s? (f) How do you account for the difference in answers to questions (d) and (e)? (g) Draw a tangent to the curve at 6.0 s. Determine the slope of the tangent. (h) Interpret your answer for (g) in terms of rate. 2. (a) On the same set of axes, plot a graph of [C] versus time (s). (b) Explain the shape of the graph. (c) Draw a secant to the curve in the interval from t = 0.0 s to t = 3.0 s. Determine the slope of the secant.
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