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Last Update: 03/29/2024 09:13 PM

Current Deck: MCAT::General-Chemistry

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For a {{c2::zeroth}} order reaction:
Rate Law: {{c1::\(R=k\)}}

Integrated Rate Law: {{c1::\([A] = [A]_0-kt\)}}
Extra
OrderRate LawIntegrated Rate Law*Half LifeGraphUnits of k
Zeroth (0)\(R = k\)\([A] = -kt+[A]_0\)\(t_{\frac{1}{2}}=\frac{[A]_0}{2k}\)
[A] vs. t
Slope: \(-k\)
Intercept: \([A]_0\)
\(\frac{M}{s}\)
First (1)\(R = k[A]\)\(ln[A] = -kt+ln[A]_0\)\(t_{\frac{1}{2}}=\frac{ln(2)}{k}\)
ln[A] vs. t
Slope: \(-k\)
Intercept: \(ln[A]_0\)
\(\frac{1}{s}\)
Second (2)\(R = k[A]^2\)\(\frac{1}{[A]} = kt+\frac{1}{[A]_0}\)\(t_{\frac{1}{2}}=\frac{1}{k[A]_0}\)
\(\frac{1}{[A]}\) vs. t
Slope: k
Intercept: \(\frac{1}{[A]_0}\)
\(\frac{1}{M\cdot s}\)
*integrated rate law arranged to resemble equation for straight line y = mx + b 

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