Enter the Arrhenius rate constant, activation energy, and temperature into the calculator to determine the shelf life of a product under accelerated conditions.
Accelerated Stability Formula
The following formula is used to calculate the shelf life of a product under accelerated conditions:
Shelf Life = e^{(Ea / (R * T))} / kVariables:
- k is the Arrhenius rate constant
- Ea is the activation energy (J/mol)
- T is the temperature (Kelvin)
- R is the universal gas constant (8.314 J/(mol*K))
To calculate the shelf life, use the Arrhenius equation to determine the rate of degradation at a given temperature, and then calculate the time it takes for the product to degrade to its end point.
What is Accelerated Stability?
Accelerated stability testing is a method used to estimate the shelf life of a product by storing it at elevated temperatures. The increased temperature accelerates the rate of chemical degradation or physical changes, allowing predictions to be made about the product’s shelf life under normal storage conditions. This method is widely used in the pharmaceutical and food industries to ensure product quality and safety.
How to Calculate Accelerated Stability?
The following steps outline how to calculate the Accelerated Stability:
- First, determine the Arrhenius rate constant (k).
- Next, determine the activation energy (Ea) in joules per mole.
- Next, determine the temperature (T) in Kelvin at which the accelerated stability test is conducted.
- Use the formula to calculate the shelf life: Shelf Life = e^(Ea / (R * T)) / k.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Arrhenius rate constant (k) = 0.001 s^-1
Activation energy (Ea) = 80000 J/mol
Temperature (T) = 323 Kelvin