Specific Heat Capacity Calculator
Energy to change temperature.
Formula first
Overview
This equation defines the relationship between heat transfer, mass, and temperature change within a substance. It identifies the thermal energy required to raise the temperature of a unit mass of a material by one degree Celsius or Kelvin without a phase change.
Symbols
Variables
Q = Heat Energy, m = Mass, c = Specific Heat, \Delta T = Temp Change
Apply it well
When To Use
When to use: Apply this formula when calculating thermal energy exchange in systems where the substance remains in a constant state (solid, liquid, or gas). It is essential for determining heat loads in steady-flow processes or closed-system heating and cooling scenarios.
Why it matters: Specific heat capacity is a fundamental property used by engineers to select materials for thermal management, such as heat sinks or coolants. It allows for the precise sizing of industrial equipment like boilers, radiators, and refrigeration cycles by predicting how materials respond to thermal inputs.
Avoid these traps
Common Mistakes
- Using absolute temperature instead of a change.
- Mixing grams and kilograms.
One free problem
Practice Problem
A 2 kg block of aluminum with a specific heat capacity of 900 J/kg·°C is heated from 25°C to 75°C. Calculate the total heat energy required in Joules.
Solve for:
Hint: Subtract the initial temperature from the final temperature to find the change in temperature (dT).
The full worked solution stays in the interactive walkthrough.
References
Sources
- Atkins' Physical Chemistry
- Fundamentals of Heat and Mass Transfer by Incropera, DeWitt, Bergman, Lavine
- Wikipedia: Specific heat capacity
- NIST Guide to the SI, Special Publication 811
- IUPAC Gold Book
- Fundamentals of Heat and Mass Transfer, 7th Edition by Incropera, DeWitt, Bergman, Lavine
- Incropera, F. P., DeWitt, D. P., Bergman, T. L., & Lavine, A. S. Fundamentals of Heat and Mass Transfer.
- Halliday, D., Resnick, R., & Walker, J. Fundamentals of Physics.