Definition: Heat capacity refers to the amount of heat required to raise the temperature of a substance.
Specific Heat Capacity: Often abbreviated as Cₚ, it is the quantity of heat needed to raise the temperature of one gram of a substance by one degree Celsius at constant pressure.
Specific to Substance: Each substance has its own specific heat capacity (e.g., iron vs. aluminum vs. water).
Units: Specific heat capacity is expressed in joules per gram degree Celsius (J/g°C).
Formula: The formula for calculating the heat (Q) involved is:
Q = mass × specific heat × change in temperature
Where:
Q = heat (in joules)
mass = mass of the substance (in grams)
specific heat = specific heat capacity (in J/g°C)
change in temperature = final temperature - initial temperature (in °C)
Scenario: A piece of zinc weighing 35.8 grams is heated from 20°C to 28°C.
Given Information:
Specific heat of zinc = 0.388 J/g°C
Mass = 35.8 g
Temperature change = 28°C - 20°C = 8.00°C (This is a positive change, indicating heat is added.)
Endothermic Process: Energy is absorbed when heating, leading to a positive enthalpy change.
Calculation:Q = 35.8 g × 0.388 J/g°C × 8.00°C
Result: Q = 111 joules of heat required.
Heat Capacity uses the units of joules per mole degree Celsius (J/mol°C).
The version used in calculations depends on the specific heat given (either in grams or moles).
These concepts relate to energy changes during state changes rather than temperature changes.
Heat of Fusion: Energy required to change a substance from solid to liquid and vice versa.
Heat of Vaporization: Energy required to change a substance from liquid to gas and vice versa.
Specific heat capacity is essential in calorimetry for calculating energy transfers during reactions.
Knowing unit conversions and understanding whether to use grams or moles is critical for accurate calculations.