Rate Constant Calculator

Rate Constant Calculator: 

Enter the values of rate, R_(mol/s), concentrations of the reactants, A_(mol/L) and B_(mol/L) raised to their respective powers, m & n to determine the value of Rate Constant, k_{(mol-1.L.s-1)}.

Enter Rate of the Reaction:		mol/s
Enter Concentration of the Reactants Raised to the Power of m:		mol/L
Enter Concentration of the Reactants Raised to the Power of n:		mol/L
Result – Rate Constant:		mol-1. L.s-1

Rate Constant Formula: 

The rate constant (k) is a fundamental parameter in chemical kinetics that describes the rate at which a reaction occurs. It is specific to a given reaction and is influenced by factors such as temperature, pressure, and the presence of catalysts. The rate constant is used in rate equations to relate the concentration of reactants and the rate of the reaction.

The rate constant kkk is central to the formulation of the rate law, which expresses how the rate of a reaction depends on the concentrations of reactants. For a reaction of the form A+B→C, the rate law can be written as:

R_(mol/s) = k_{(mol-1.L.s-1)} * A^m_(mol/L) * Bⁿ_(mol/L)

For a reaction involving multiple reactants, the rate constant can be modified to incorporate the concentrations of each reactant and their respective reaction orders.

Rate Constant, k_{(mol-1.L.s-1)} in mole inverse litre second inverse is determined by dividing the rate, R_(mol/s) in mole per second of the reaction by the product of the concentrations of the reactants, A_(mol/L) and B_(mol/L) in mole per litre raised to their respective powers, m & n.

Rate Constant, k_{(mol-1.L.s-1)} = R_(mol/s) / A^m_(mol/L) * Bⁿ_(mol/L)

k_{(mol-1.L.s-1)} = rate constant in  mole inverse litre second inverse, mol^-1. L.s^-1.

R_(mol/s) = rate of the reaction in mole per second, mol/s.

A^m_(mol/L) and Bⁿ_(mol/L) = concentration of the reactants raised to the power of m & n in mole per litres, mol/L.

Rate Constant Calculation:

1. Given: R_(mol/s) = 0.25mol/s, A_(mol/L) = 2mol/L, B_(mol/L) = 1mol/L, m = 1, n = 2.

Rate Constant, k_{(mol-1.L.s-1)} = R_(mol/s) / A^m_(mol/L) * Bⁿ_(mol/L)

k_{(mol-1.L.s-1)} = 0.25 / 2¹  * 1²

k_{(mol-1.L.s-1)} = 0.25 / 2

k_{(mol-1.L.s-1)} = 0.125mol^-1. L.s^-1.

2. Given: k_{(mol-1.L.s-1)} = 0.0208mol^-1. L.s^-1, A_(mol/L) = 3mol/L, B_(mol/L) = 4mol/L, m = 2, n = 1.

Rate Constant, k_{(mol-1.L.s-1)} = R_(mol/s) / A^m_(mol/L) * Bⁿ_(mol/L)

R_(mol/s) = k_{(mol-1.L.s-1)} * A^m_(mol/L) * Bⁿ_(mol/L)

R_(mol/s) = 0.0208 * 3² * 4¹

R_(mol/s) = 0.0208 * 9 * 4

R_(mol/s) = 0.7488mol/s.