Physics

Specific Heat Calculator

Solve for heat energy, mass, or temperature change using Q = mcΔT.


Specific Heat Calculator

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The heat energy required to change a substance’s temperature depends on its mass, specific heat capacity, and the size of the temperature change.

How it works

The formula Q = m × c × ΔT relates the four quantities; choosing which one to solve for rearranges the same equation around the other three known values.

What this does not include

This does not include a built-in table of specific heat values — enter the substance’s known specific heat capacity directly, since no fixed table could keep pace with every material.

How to use this calculator

  1. Choose what to solve for, then enter the known values.

A worked example

100 g of water (specific heat 4.186 J/g°C) heated by 20°C: heat required = m×c×ΔT = 100 × 4.186 × 20 = 8,372 J.

Given 8,372 J applied to the same 100 g of water, the temperature change works out to 20°C — the reverse calculation.

What the variables mean

Variable Meaning
Mass Mass of the substance
Specific heat Energy needed to raise 1 gram by 1°C, unique to each material
ΔT (delta T) Temperature change

Edge cases worth knowing

Water has an unusually high specific heat compared to most materials — which is exactly why it takes so much energy to heat (or cool) water, and why it’s used as a coolant and for climate moderation near large bodies of water.

A specific heat of zero has no physical meaning, so the calculator declines to show a result for that input.

Frequently asked questions

Why does water have such a high specific heat?

Water requires an unusually large amount of energy to change temperature compared to most substances, which is why it’s commonly used as a coolant and why large bodies of water moderate nearby climates.

What are the units of specific heat capacity?

Commonly joules per gram per degree Celsius (J/g°C), representing how much energy is needed to raise one gram of the substance by one degree.

What’s a practical use for this formula?

Calculating how much energy is needed to heat a liquid, or figuring out a substance’s final temperature after adding a known amount of heat.

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Written by

R. Solano

Physics writer

R. Solano writes the physics calculators, spanning mechanics, electricity, optics and thermodynamics. Each page names the physical model it uses and the conditions under which that model holds — ideal gas, no air resistance, small-angle approximation — because a physics result without its assumptions is a number without a meaning. Formulas are given in symbols first, then in the calculator.

Reviewed by

V. Kowalski

Calculator reviewer — physics and engineering

V. Kowalski reviews the physics and engineering calculators, checking that each page states the physical model it assumes and that the stated model matches the formula actually implemented. Review covers unit consistency throughout a calculation and whether approximations are flagged where the underlying physics is more complicated than the formula suggests.

How we write and review

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