Specific Heat Calculator

About Specific Heat Calculator

q = mcΔT relates heat transfer to mass, specific heat capacity, and temperature change. Water: c = 4.184 J/(g·°C).

How to use this calculator

1. Enter the mass \(m\) of the substance.
2. Enter the specific heat capacity \(c\).
3. Enter the temperature change \(\Delta T\), or use final minus initial temperature if needed.
4. Read the heat transfer \(q\). A positive value means heat was added, and a negative value means heat was removed.

The formula explained

The formula \(q = mc\Delta T\) computes the heat energy transferred to or from a substance. It combines mass, material properties, and temperature change to give the total heat \(q\).

• q = heat transferred
• m = mass of the substance
• c = specific heat capacity
• \(\Delta T\) = change in temperature, found by \(T_{\text{final}} - T_{\text{initial}}\)

Step by step method

1. Find the mass \(m\), specific heat \(c\), and temperature change \(\Delta T\).
2. Substitute the values into \(q = mc\Delta T\).
3. Multiply to get \(q\), keeping track of the sign for heating or cooling.

Worked example

Problem. How much heat is needed to raise \(\,2\\,\text{kg}\) of water from \(20^\circ\text{C}\) to \(30^\circ\text{C}\)? Use \(c = 4186 \\text{J/(kg}\\cdot\\text{°C)}\).

1. Compute the temperature change, \(\Delta T = 30 - 20 = 10^\circ\text{C}\).
2. Substitute into the formula, \(q = mc\Delta T = 2 \times 4186 \times 10\).
3. Calculate \(q = 83{,}720\\text{ J}\).

Tips and common mistakes

• Be careful to use \(\Delta T = T_{\text{final}} - T_{\text{initial}}\), not just the final temperature.
• If \(\Delta T\) is negative, the result for \(q\) is negative, which means the substance lost heat.

Frequently asked questions