Specific Heat Capacity Calculator

The Specific Heat Capacity Calculator uses the classic heat equation Q = m × c × ΔT to work out how much energy is involved when a substance changes temperature. Unlike most calculators that only find the heat (Q), this one lets you solve for any of the four quantities — heat energy, mass, specific heat capacity, or the final temperature — and it draws an animated thermometer so you can see the temperature change at a glance. A built-in library of common substances (water, aluminum, copper, ice and more) fills in the specific heat for you.

The Specific Heat Formula

The amount of heat energy needed to change the temperature of an object depends on three things: how much of the substance there is (mass), what the substance is made of (specific heat capacity), and how big the temperature change is.

where:

• Q = heat energy transferred, in joules (J)
• m = mass of the substance, in kilograms (kg)
• c = specific heat capacity, in J/(kg·°C)
• ΔT = change in temperature = final − initial, in °C (or K)

Rearranging the same formula lets you solve for the other variables:

What is Specific Heat Capacity?

Specific heat capacity is the amount of energy required to raise the temperature of one kilogram of a substance by one degree Celsius (which is the same size as one kelvin). It is an intrinsic property of a material. A high specific heat means a substance can absorb a lot of energy with only a small temperature rise. Water is famous for its very high specific heat of about 4186 J/(kg·°C) — roughly ten times that of copper — which is why oceans moderate climate and why water is such an effective coolant.

Specific Heat Capacity of Common Substances

These reference values are at or near room temperature. Choose any of them from the substance menu and the calculator fills in c automatically.

Worked Example

How much energy does it take to heat 500 g of water from 20 °C to 100 °C (its boiling point)?

• Mass: m = 0.5 kg
• Specific heat: c = 4186 J/(kg·°C)
• Temperature change: ΔT = 100 − 20 = 80 °C

That is about 40 food Calories — roughly the energy in a small cookie — just to bring half a litre of water to the boil.

Units and Conversions

The calculator accepts a wide range of units and converts everything to SI internally:

• Mass: grams (g), kilograms (kg), pounds (lb), ounces (oz)
• Temperature: Celsius (°C), Fahrenheit (°F), Kelvin (K)
• Specific heat: J/(kg·°C), J/(g·°C), kJ/(kg·°C), cal/(g·°C), BTU/(lb·°F)
• Heat energy: joule (J), kilojoule (kJ), calorie (cal), kilocalorie (kcal), watt-hour (Wh), BTU

One important detail: a temperature change of 1 °C is exactly equal to a change of 1 K, so ΔT has the same number in both. A Fahrenheit degree is smaller, so a Fahrenheit temperature change is multiplied by 5/9 to convert it to Celsius before it enters the formula.

How to Use This Calculator

1. Choose what to solve for: heat energy (Q), mass (m), specific heat (c), or the final temperature. The field for the unknown is hidden automatically.
2. Pick a substance or enter c: select a material from the library to auto-fill its specific heat, or type your own value and unit.
3. Enter the known values: fill in the remaining fields (mass, heat energy, initial and final temperatures) using whatever units you prefer.
4. Click Calculate: read the answer, watch the thermometer animate the temperature change, and follow the step-by-step solution.

Frequently Asked Questions

What is the specific heat capacity formula?

The formula is Q = m × c × ΔT, where Q is the heat energy in joules, m is the mass in kilograms, c is the specific heat capacity in joules per kilogram per degree Celsius, and ΔT is the change in temperature (final minus initial). Rearranging it lets you solve for any one of the four quantities when the other three are known.

What is specific heat capacity?

Specific heat capacity (c) is the amount of energy needed to raise the temperature of one kilogram of a substance by one degree Celsius (or one kelvin). Water has a very high specific heat of about 4186 J/(kg·°C), which is why it heats and cools slowly compared with metals like copper at 385 J/(kg·°C).

What units does this calculator use?

You can enter mass in grams, kilograms, pounds or ounces; temperature in Celsius, Fahrenheit or Kelvin; specific heat in J/(kg·°C), J/(g·°C), kJ/(kg·°C), cal/(g·°C) or BTU/(lb·°F); and heat energy in joules, kilojoules, calories, kilocalories, watt-hours or BTU. The calculator converts everything to SI units internally and shows the result in your chosen unit.

What is the specific heat of water?

Liquid water has a specific heat capacity of approximately 4186 J/(kg·°C), or equivalently 1 calorie per gram per degree Celsius. Ice is about 2090 J/(kg·°C) and steam is about 2010 J/(kg·°C).

Does a negative Q mean anything?

Yes. When the final temperature is lower than the initial temperature, ΔT is negative and Q comes out negative. A negative Q means heat is being released (the substance is cooling down) rather than absorbed. The magnitude is the amount of energy removed.

Why does the temperature change use the same value in Celsius and Kelvin?

A change of one degree Celsius is exactly the same size as a change of one kelvin, so ΔT is numerically identical in both units. Fahrenheit degrees are smaller, so a Fahrenheit temperature change is multiplied by 5/9 to convert it to Celsius before using the formula.

Additional Resources

• Specific Heat Capacity - Wikipedia
• Heat Capacity - Wikipedia