Kelvin-Planck Statement: The Kelvin-Planck statement describes the absolute minimum amount of energy required to raise the temperature of a perfect crystal...
Kelvin-Planck Statement:
The Kelvin-Planck statement describes the absolute minimum amount of energy required to raise the temperature of a perfect crystal at absolute zero. It implies that no amount of heat can be extracted from an object at absolute zero temperature.
Clausius Statement:
The Clausius statement describes the impossibility of achieving a state of perfect thermodynamic equilibrium at a finite temperature. In other words, it implies that no system can reach a state in which the internal energy and the total energy of the system are simultaneously at a constant value.
Examples:
The Kelvin-Planck statement implies that the heat capacity of a perfect crystal at absolute zero is infinite, meaning that it would require an infinite amount of energy to raise its temperature by one degree Kelvin.
The Clausius statement implies that it is impossible to reach a state of perfect thermal equilibrium at a finite temperature, regardless of the temperature itself. For example, no amount of heat can be transferred from a hot object to a cold object at a finite temperature