The formula to calculate the Shelf Life is:
\[ \text{Shelf Life} = \frac{e^{\left(\frac{E_a}{R \cdot T}\right)}}{k} \]
Where:
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.
Example 1:
Using the formula:
\[ \text{Shelf Life} = \frac{e^{\left(\frac{50000}{8.314 \cdot 298}\right)}}{0.1} \approx 5.81 \times 10^{9} \]
The Shelf Life is approximately \(1.66 \times 10^{8}\) units of time.
Example 2:
Using the formula:
\[ \text{Shelf Life} = \frac{e^{\left(\frac{60000}{8.314 \cdot 310}\right)}}{0.05} \approx 2.58 \times 10^{11} \]
The Shelf Life is approximately \(2.58 \times 10^{11}\) units of time.
