6.4
Internal energy is defined by the interconversion of heat and work. But how is heat measured?
Every substance possesses thermal energy. When a system experiences a temperature difference with its surroundings, thermal energy flows from the matter of higher temperature to the matter of lower temperature. This thermal energy transfer is also called heat transfer and is measured in Joules.
Temperature, on the other hand, describes a property of thermal energy and is measured in Celsius or Kelvin. Thus, the temperature is substance independent, unlike heat, which depends on the number and type of molecules in a system.
Heat can be measured by a technique called calorimetry, which uses the relationship between the heat and a change in temperature of a system.
When a piece of iron at 114 °C is placed into room temperature water, heat flows from the iron to the water until they are the same temperature. Once there is no net flow of heat, they are in thermal equilibrium.
In an isolated system, the water gains exactly as much heat as the iron loses. But the final temperature is only one degree above the water’s starting temperature, while the iron has cooled by 93 °C.
The amount of heat transferred is proportional to the temperature change ΔT.
The proportionality constant C or the “heat capacity”, is the amount of heat needed to increase a system’s temperature by one kelvin, or one degree Celsius.
Heat capacity depends on the type of the substance: a system with a large heat capacity like water needs to absorb more heat to raise its temperature than a system with a smaller heat capacity, such as iron.
Heat capacity also depends on the mass of the substance. Specific heat capacity, Cs, or molar heat capacity, Cm, describes the amount of heat needed to increase the temperature of 1 gram, or 1 mole of a substance by 1 °C. Thus, the unit is given in either Joules per gram degree Celsius or as Joules per mole degree Celsius.
Thus, if specific heat capacities and temperature change of a system are known, the value for heat can be calculated from their product.
Microscopically, thermal energy is the kinetic energy associated with the random motion of atoms and molecules. Temperature is a quanti…
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