Recall the integrated rate laws.

For a **zeroth-order reaction** is as follows:

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

y mx b

**Graph: [A] vs. t**

For a **first-order reaction** is as follows:

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

y mx b

**Graph: ln [A] vs. t**

For a **second-order reaction** is as follows:

The decomposition of ethanol (C_{2}H_{5}OH) on an alumina (Al_{2}O_{3}) surface

C_{2}H_{5}OH (g) → C_{2}H_{4} (g) + H_{2}O (g)

was studied at 600 K. Concentration versus time data were collected for this reaction, and a plot of [A] versus time resulted in a straight line with a slope of -4.00 x 10^{-5} mol/L•s.

a. Determine the rate law, the integrated rate law, and the value of the rate constant for this reaction.

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Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition practice problems.