Calculation Methods for Rate Laws
There are multiple ways to determine a rate law from experimental data. The comparison method looks at how rates change when concentrations change. For example, if doubling NO makes the rate four times faster, NO must be second order.
For more complex situations, you can use a mathematical approach. Set up equations using different trials and divide them to eliminate variables. This helps isolate the order for each reactant one at a time.
Once you've determined all orders, you can write the complete rate law. For our example reaction 2NO+Cl2→2NOCl, the rate law is Rate = kNO²Cl2. For another reaction 2H2+2NO→2H2O+N2, careful analysis shows the rate law is Rate = kH2NO².
🧮 Math shortcut: When concentrations double and you want to find the order, use this relationship: if rate increases by factor of 2ⁿ, then the order is n!