Accelerated Age Test Calculator

Arrhenius Equation:

\[ AF = \exp\left(\frac{Ea}{R} \times \left(\frac{1}{T_{use}} - \frac{1}{T_{test}}\right)\right) \]

Acceleration Factor (AF):

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1. What is the Arrhenius Equation?

The Arrhenius equation is used to estimate the acceleration factor for aging tests by modeling the temperature dependence of reaction rates. It helps predict how much faster a product will age at elevated temperatures compared to normal use conditions.

2. How Does the Calculator Work?

The calculator uses the Arrhenius equation:

\[ AF = \exp\left(\frac{Ea}{R} \times \left(\frac{1}{T_{use}} - \frac{1}{T_{test}}\right)\right) \]

Where:

\( AF \) — Acceleration Factor
\( Ea \) — Activation Energy (J/mol)
\( R \) — Gas Constant (8.314 J/mol·K)
\( T_{use} \) — Use Temperature (K)
\( T_{test} \) — Test Temperature (K)

Explanation: The equation calculates how many times faster a reaction occurs at the test temperature compared to the use temperature based on the activation energy barrier.

3. Importance of Acceleration Factor Calculation

Details: Accurate AF calculation is crucial for designing accelerated life tests, predicting product lifetime, and validating product reliability under various temperature conditions.

4. Using the Calculator

Tips: Enter activation energy in J/mol, temperatures in Kelvin. All values must be positive. Temperature inputs must be in absolute scale (Kelvin).

5. Frequently Asked Questions (FAQ)

Q1: What is typical activation energy for electronic components?
A: Typical values range from 0.3-1.2 eV (approximately 29-116 kJ/mol), with 0.7 eV being commonly used for many electronic devices.

Q2: Why use Kelvin instead of Celsius?
A: The Arrhenius equation requires absolute temperature values, making Kelvin the appropriate unit for thermodynamic calculations.

Q3: What are limitations of the Arrhenius model?
A: The model assumes a single activation energy and may not accurately represent complex degradation mechanisms with multiple failure modes.

Q4: How to convert Celsius to Kelvin?
A: Add 273.15 to the Celsius temperature to get Kelvin (K = °C + 273.15).

Q5: What acceleration factors are typical in reliability testing?
A: Acceleration factors typically range from 2x to 100x depending on the temperature difference and activation energy of the materials.