The Second -order Rate Law (Integral Form) calculator computes the second order rate (concentration) based on the concentration of substance, rate the constant and duration of time.
INSTRUCTIONS: Choose units and enter the following:
Concentration [A]t: The calculator returns the concentration in moles per liter. However this can be automatically converted to compatible units via the pull-down menu.
The second-order rate law equation, specifically the integral form looks at the concentration of the reactants at a certain point in time. The integral form of the equation was obtained from theand the full integration can be found . Unlike the , the second-order depends on two reactants and thus there are three different cases:
Case 1. Both of the reactants are of the same substance A
Since both of the reactants are the same, the concentration is the same for both of the reactants. The integrated rate equation is as show above.
Case 2. The reactants are of two different substances (A and B) and their concentrations are different
When both of the reactants are different and have different concentrations the differential equation is integrated differently giving the equation
Case 3. The reactants are of two different substance (A and B) but their concentrations are the same.
Since the concentrations are the same, the substances can be treated as one and the integration becomes just like in case 1.
Whitten, et al. 10th Edition. Pp. 626,629,631