Kinetics Rate Equations

for a generic reaction:      aA --> products

Some Things to NOTICE here

• note the similarities (and differcences) in the integrated rate laws
• all the same on the RIGHT side (akt)
• Each can be shown as the DIFFERENCE in two terms on the LEFT side
• The zero order concentration terms are PLAIN concentration.
• The 1st order concentration terms are NATURAL LOG terms.
• The 2nd order concentration terms are INVERSE terms.
• NOTE the Half-Life's dependence on concentration for EACH type.
• 0 order: DIRECTLY proportional to the initial concentration.
• 1st order: INDEPENDENT of any concentration!!!
• 2nd order: INVERSELY proportional to the initial concentration.
• The straight line plots all have slopes equal in magnitude to ak, however, zero and first order have NEGATIVE slopes and second order has a POSITIVE slope.