Understanding the Units

\(\text{cal/(g·°C)}\) is the specific heat capacity expressed in calories per gram per degree Celsius. It tells how many calories are needed to raise the temperature of one gram of a substance by one degree Celsius.

\(\text{BTU/(lb·°F)}\) is the same property expressed in British thermal units per pound per degree Fahrenheit. One BTU is the amount of heat required to raise the temperature of one pound of water by one degree Fahrenheit.

Why Convert?

  • Engineering calculations in the United States often use BTU/(lb·°F) while many scientific texts use cal/(g·°C).
  • Accurate conversion is essential for thermal design of heat exchangers, HVAC systems, and material processing.
  • The conversion factor is very close to 1, but the slight difference can matter in high‑precision energy balances.

Conversion Factor

The exact multiplication factor is:

\(1\ \text{cal/(g·°C)} = 0.9993312314894429\ \text{BTU/(lb·°F)}\)

This factor is derived from the relationships:

\(1\ \text{cal} = 4.184\ \text{J}\), \(1\ \text{BTU} = 1055.06\ \text{J}\), \(1\ \text{g} = 0.00220462\ \text{lb}\), and \(1\ °C = 1.8\ °F\).