Battery knowledge · Units and electrical basics

Degree Celsius and kelvin

Battery temperatures are quoted in degrees Celsius, but rate laws such as Arrhenius need kelvin: add 273.15. Room temperature, 25 °C, is 298 K; the two scales share the same size of degree. [1]

Unit
°C, K

Example

Temperature and reaction rate

At 25 °C: 1×. At 35 °C: 1.924×. At 45 °C: 3.554×.

The equation uses kelvin. One activated process is represented, not lifetime.

Explore the graph

Compare an activated process with its rate at 25 °C.

Relative reaction rate
Relative reaction rateTemperature (°C) versus Rate multiplier (×). Relative to 25 °C. Interpretation follows the graphs.002.18154.37306.55458.7460Temperature (°C)Rate multiplier (×)
Relative to 25 °C

At 25 °C: 1×. At 35 °C: 1.924×. At 45 °C: 3.554×.

k(T)/k(T_ref) = exp[(Eₐ/R)(1/T_ref − 1/T)]

Illustrative model. The equation uses kelvin. One activated process is represented, not lifetime.

Use in Lemonergy

Lemonergy Core equation

Compare reaction rates

Lemonergy Core evaluates this relation.

Equation or tool to use

  1. arrhenius_factor

    Core equation

    Inputs & settings
    • Temperature (°C)
    • Reference temperature (°C)
    • Activation energy (J/mol)

This overview identifies the components to use. Follow the example in Lemonergy for their connections and settings.

  1. Open the lesson and inspect the equation.
  2. Change one input while holding the others fixed.

Example. At an illustrative 50 kJ/mol activation energy, raising temperature from 25 °C to 35 °C gives a rate factor about 1.92.

Observe. Compare the result with the equation and units.

This factor alone does not predict lifetime or capacity loss.

Open the worked lesson →

References & further reading

Technical references

  1. The International System of Units (SI), 9th edition

    Bureau International des Poids et Mesures · 2026

    Technical reference · Definitions of SI units and coherent derived units; 2026 revision.