Zero-order rate law (Integral form)

The Zero-order Rate Law (integral form) calculator computes the amount of reactant (concentration) at a certain point of time during a reaction.

INSTRUCTIONS: Choose units and enter the following:

• [A₀] Initial Concentration of Substance A
• (k) reaction rate constant (units: mol/L*sec)
• (t) Duration of Reaction

Amount of Reactant [A]: The calculator returns the concentration of reactant in moles per liter (mol/L).  

Chemistry Rate Law Calculators

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• First Order Half Life
• First Order Rate Law
• Second Order Rate Law (Integral form)
• Second Order Half Life
• Second Order Rate Law

The Math / Science

The zero-order rate law (integral form)^[1] equation calculates the amount of reactant at a certain point of time during the reaction. Remember that rate is a differential equation in mathematics and physics that can be integrated, a full integration of the differential form of zero-order can be found here.  The zero-order rate law (integral form) equation is:

[A] = [A₀] - k⋅t_[2]

where 

• [A] = Amount of Reactant
• [A₀] = initial concentration of substance A in units of (mol/L)
• k =  rate constant in units of (mol/L*sec)
• t = duration of the reaction in units of (sec)

Related Topics

• Zero-order rate law (differential form)
• Rate Law Calculator

Supplement Material

• Khan Academy: Rate law and reaction order

References

[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/Zero-Order_Reactions