Integrated Rate Law Video Lessons

Concept:

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

FREE Expert Solution

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:

$\overline{){\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{{\mathbf{t}}}{\mathbf{=}}{\mathbf{-}}{\mathbf{kt}}{\mathbf{+}}{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{{\mathbf{0}}}}$

• First-order reaction:

$\overline{){\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{{\mathbf{t}}}{\mathbf{=}}{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{{\mathbf{0}}}{{\mathbf{e}}}^{\mathbf{-}\mathbf{kt}}}$

• Second-order reaction is as follows:

$\overline{)\frac{\mathbf{1}}{{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{t}}}{\mathbf{=}}{\mathbf{kt}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{0}}}}$

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

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Integrated Rate Law concept. You can view video lessons to learn Integrated Rate Law. Or if you need more Integrated Rate Law practice, you can also practice Integrated Rate Law practice problems.