Entropy is one of the state functions used to measure the randomness of the thermodynamic system. Entropy is usually measured for a system and surroundings together to calculate the overall change in the Entropy.
∆S = Ssystem – S surroundings
Or
∆S = Sfinal – S initial
Or
∆S = S2-S1
Only the difference between the initial and final state entropy values can be calculated to measure the overall Entropy. Energy and Entropy are related but are different terms. Energy is usually conserved according to the law of conservation of energy. Energy cannot be created and cannot be destroyed but can be converted from one form to the other. Unlike energy, Entropy is not conserved, and there is no principle for the Entropy conservation.
Entropy is a physical property, and its value can change only if the state of the system changes; hence the change in Entropy is zero (∆S = 0) if there is no change in the state of the system.
The Entropy of the system is a measure of disordered ness. The Entropy of the system increases with the increase in the randomness of the system. Entropy can be the least value for solids and the maximum value for gaseous particles.
The zero entropy condition is also called the absolute zero condition. This condition is observed in pure and perfectly crystalline solids at absolute zero temperature. This statement is from the third law of thermodynamics. Absolute zero temperature is the temperature of -273 degrees Celsius or 0 Kelvin where the particles cease to move or freeze with the least motion, then the system is said to be very much ordered, and Entropy is considered to be zero where the state of every particle can be known. But zero entropy condition is not possible because all the natural processes are spontaneous and move towards the increase in entropy direction. The least entropy condition can be attained in many solids where the particles just vibrate in their mean positions without showing movement.
Example: Perfectly crystalline solid at zero Kelvin
Minimum entropy condition: Entropy can take up a minimum value for a system if the system is more ordered and possesses less energy. The processes during which the decrease in Entropy is observed are freezing, condensation, and solidification. All these processes are non-spontaneous.
Maximum entropy condition: Entropy can reach a maximum value in the processes which are spontaneous and naturally occurring on their own without any external assistance. The processes involve melting, vaporisation or evaporation, sublimation.
The Maximum Entropy of the universe can be reached S=10123kB or can reach a factor of a hundred quintillion greater than today’s existing Entropy. There is no such maximum limit for Entropy since its most unusable energy and the quality of energy.
Entropy of a system is a relative value which depends on various factors of matter in the system and surroundings. We cannot say that entropy has a limit. So, entropy can have any value according to the conditions.