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THE ENERGY OF HEAT, PART ONE: HEAT CAPACITY
dU = mCmdT (change in energy = mass * heat capacity per unit mass * change in temperature) dU = VCVdT (change in energy = volume * heat capacity per unit volume) All matter stores energy in the form of heat. When a substance is not near its phase boundaries (the lines on its phase diagram that separate solid, liquid and gas), the amount of energy stored is proportional to the temperature of the substance. It is also proportional to the heat capacity of the substance, as described by the equations above. (Sometimes chemists will refer to the change in heat energy as dQ rather than dU, but the ideas are the same.) The first equation describes the heat capacity of a substance as it relates to mass, and is usually used for solid or liquid phases. The MKS unit of this heat capacity is "Joules per kg per degree K." The second equation describes the heat capacity of a substance as it relates to volume, and is usually used for the gaseous phase. In that case, the MKS unit is Sometimes, "Joules per cubic meter per degree K." Heat energy is often expressed in a unit called a calorie. One calorie is equal to 4.2 Joules. The heat energy stored in the food you eat is labeled as "Calories," which is actually 1,000 "calories." Scientists usually refer to the food "Calorie" as a "kilocalorie," or Kcal for short. |