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Energy change Calculator

Calculate energy change from mass, specific heat capacity and temperature change.

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Energy Change

Formula first

Overview

This equation determines the quantity of heat energy transferred to or from a substance as its temperature changes. It relies on specific heat capacity, a material-specific constant that dictates how much energy is required to raise the temperature of a unit mass by one degree.

Symbols

Variables

m = Mass, c = Specific Heat Capacity, T = Temperature Change, E = Energy Change

Mass
kg
Specific Heat Capacity
Temperature Change
Energy Change

Apply it well

When To Use

When to use: Use this formula when a substance is being heated or cooled without undergoing a phase change, such as melting or boiling. It assumes that the specific heat capacity remains constant throughout the temperature interval and that the system is thermally isolated from its surroundings.

Why it matters: Calculating energy change is fundamental for designing efficient heating systems, understanding global climate thermodynamics, and predicting metabolic heat production in biology. It is also the basis for calorimetry, which is used to measure the energy content of fuels and foods.

Avoid these traps

Common Mistakes

  • Using mass in g (usually requires kg).
  • Using T instead of Δ T.
  • Forgetting that ΔT is the same in °C and K.
  • Using the wrong specific heat capacity value for the material.

One free problem

Practice Problem

How much energy in Joules is required to heat 250 grams of water (c = 4.18 J/g°C) from 20°C to 80°C?

Mass250 kg
Specific Heat Capacity4.18 J/kg^\circ C
Temperature Change60 ^\circ C

Solve for:

Hint: Subtract the initial temperature from the final temperature to find the change in temperature (ΔT).

The full worked solution stays in the interactive walkthrough.

References

Sources

  1. Atkins Physical Chemistry
  2. Halliday, Resnick, Walker, Fundamentals of Physics
  3. Incropera, DeWitt, Bergman, Lavine, Fundamentals of Heat and Mass Transfer
  4. NIST Guide for the Use of the International System of Units (SI), Special Publication 811
  5. IUPAC Gold Book (Compendium of Chemical Terminology)
  6. Atkins' Physical Chemistry, 11th Edition
  7. Halliday, Resnick, and Walker, Fundamentals of Physics, 11th Edition
  8. Britannica, The Editors of Encyclopaedia. 'Calorie'. Encyclopedia Britannica, 22 Aug. 2024