Problem: Identify what the graphs of [X] versus time and [Y] versus time would look like for various orders.Zero-order [X] vs. tZero-order [Y] vs. tFirst or Second-order [X] vs. tFirst or Second-order [Y] vs. t

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Recall that each straight line plot (A = concentration of reactant) corresponds to:


  • [A] vs. time (in s)   Zeroth-order reaction 
  • ln[A] vs. time (in s)  First-order reaction
  • 1/[A] vs. time (in s) Second-order reaction


Integrated rate law:

  • Zeroth order reaction:

[A]t=-kt+[A]0


  • First-order reaction:

[A]t=[A]0e-kt


  • Second-order reaction is as follows:

1[A]t=kt+1[A]0

Assuming, X = reactant and Y = product:


Reaction: X → Y

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Problem Details

Identify what the graphs of [X] versus time and [Y] versus time would look like for various orders.

Zero-order [X] vs. t

Zero-order [Y] vs. t

First or Second-order [X] vs. t

First or Second-order [Y] vs. t

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