The first law of thermodynamics is a generalization of the conservation of energy that
encompasses changes in internal energy. This is universally valid law and can be applied to many
processes and provides a connection between the microscopic and macroscopic
worlds.
There are two ways in which energy can be transferred between a system and its
surroundings. One is through the work done by the system and other is through heat. Both
mechanisms result in a change in the internal energy of the system and therefore usually result in
measurable changes in the macroscopic variables of the system, such as the pressure,
temperature, and volume of a gas.
If a system undergoes a change from initial state to final state so that an amount of energy Q
is transferred to the system and an amount of work W is done by the system, then the change in
internal energy is nothing but Q-W:
When the system undergoes an infinitesimal change in state in which a small amount of energy
dQ is transferred by heat and a small amount of work dW
is done , the internal energy changes by
an amount dE int
This is the first law of thermodynamics which is basically an energy conservation equation.
Heat Capacity and Specific Heat:
Heat capacity (C) for a particular sample of a substance is defined as the amount of energy
needed to raise the temperature of that substance by 1oC
If an amount of heat energy Q produces
a change in temperature of a substance by ΔT, then it can be written as:
The specific heat c of a substance is the heat capacity per unit mass. Thus, if energy Q is
transferred by heat to mass m of a substance changes the temperature of the sample by ΔT, then
the specific heat of the substance is: