Understanding Heat Capacity and Specific Heat Capacity
Heat capacity is defined as the amount of heat required to raise the temperature of an object by 1 degree Celsius (°C). It is an extensive property, meaning it depends on the mass of the substance. The formula for heat capacity (C) is:
C = Q / ΔT
where Q is the heat added and ΔT is the change in temperature.
Specific heat capacity (c) is the amount of heat required to raise the temperature of 1 kilogram of a substance by 1°C. It is an intensive property, independent of mass. The formula for specific heat capacity is:
c = Q / (m × ΔT)
where m is the mass of the substance.
To determine heat capacity and specific heat capacity experimentally, you can conduct a simple experiment using a calorimeter. Measure the mass of the substance, heat it with a known quantity of heat (Q), and measure the temperature change (ΔT). Then apply the formulas above to calculate both capacities.
Key points to remember
- Heat capacity is the heat needed to raise temperature by 1°C.
- Specific heat capacity is heat needed for 1 kg to change by 1°C.
- Heat capacity is extensive; specific heat capacity is intensive.
- Use calorimeter for experimental determination of capacities.
- Formulas: C = Q / ΔT, c = Q / (m × ΔT).
Worked example
Define heat capacity and specific heat capacity.
- Heat capacity is the heat needed to increase temperature by 1°C.
- Specific heat capacity is the heat needed to raise 1 kg by 1°C.