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`[A] = [A]_0*e^-(k*t)`

Enter a value for all fields

The **First-order Rate Law (Integral Form)** calculator computes the concentration of a substance (**A**) based on a Rate Law equation, the initial concentration (**A _{0}**), the rate constant (

**INSTRUCTIONS:** Choose units and enter the following:

- [
**A**] Initial Concentration of the Substance._{0} - (
**k**) Rate Constant. - (
**s**) Duration of the Reaction.

**Concentration of Substance [A]:** The calculator returns the concentration of the substance after the reaction in moles per liter (mol/L). However, this can be automatically converted to other concentration units via the pull-down menu.

- Zero Order
**Rate Law (Integral form)** - Zero Order
**Half Life** - Zero Order
**Rate Law** - First Order
**Rate Law (Integral form)** - First Order
**Half Life** - First Order
**Rate Law** - Second Order
**Rate Law (Integral form)** - Second Order
**Half Life** - Second Order
**Rate Law**

The **first order rate integral**^{[1]} equation calculates the rate at which the reactants turn in to products. Unlike the differential form of the first-order equation, the integral form looks at the amount of reactants have been converted to products at a specific point in the reaction. A full integration of the equation can be found here.

The equation for the first-order rate reaction is

**[A]=[A] _{o}e^{−kt}** [2]

Where:

**[A]**is the concentration of substance after reaction.**[A]**is the_{o}**initial concentration**in units of (mol/L)**k**is the**rate constant**in units of (1/sec)**t**is**time**of the concentration (sec

- Khan Academy: Rate law and reaction order

[1] https://en.wikipedia.org/wiki/Rate_equation

[2]Whitten, et al. 10th Edition. Pp. 626,629,631

[Picture]http://chemwiki.ucdavis.edu/Core/Physical_Chemistry/Kinetics/Reaction_Rates/First-Order_Reactions