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If a closed system is undergoing an irreversible process, the entropy of the system
  • a)
    Must increase
  • b)
    Always remains constant
  • c)
    Must decrease
  • d)
    Can increase, decrease or remain constant
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If a closed system is undergoing an irreversible process, the entropy ...
If a closed system is undergoing an irreversible process, the change in entropy of the system is given by
dS > 0, or dS = 0, or dS < 0
In an irreversible process in which heat is removed from the system then its entropy can decrease. 
The entropy of a closed system is given by
When the process is irreversible then entropy generation in the system (δs)gen is always positive, the heat transfer will decide whether the entropy will increase or decrease.
When heat is added to the system

When Heat is removed from the system

When the process is adiabatic, dQ = 0,

∴ when a closed system is undergoing an irreversible process the entropy may increase, decrease or remain constant.
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Irreversible Processes and Entropy

Irreversible Processes

• In a closed system, if the process takes place in such a way that it cannot be reversed, it is called an irreversible process.

• An irreversible process is characterized by the fact that it is not possible to restore the system and its surroundings to their initial states by means of infinitesimal changes.

• Examples of irreversible processes include heat flow from a hot body to a cold body, mixing of two gases, and expansion of a gas into a vacuum.

Entropy

• Entropy is a measure of the disorder or randomness of a system.

• It is a thermodynamic property that is related to the number of possible ways in which a system can be arranged.

• The entropy of a closed system can be increased by irreversible processes.

• The change in entropy of a system undergoing an irreversible process is given by the formula ΔS = Qrev/T, where Qrev is the heat transferred in a reversible process and T is the temperature at which the process takes place.

Answer

• If a closed system is undergoing an irreversible process, the entropy of the system can increase, decrease or remain constant.

• This is because the change in entropy of a system undergoing an irreversible process depends on the nature of the process and the initial and final states of the system.

• For example, if a gas is allowed to expand into a vacuum irreversibly, its entropy will increase.

• On the other hand, if a gas is compressed irreversibly, its entropy will decrease.

• If a system undergoes an irreversible process that does not involve any heat transfer, its entropy may remain constant.

• Therefore, it is not correct to say that the entropy of a system undergoing an irreversible process must increase.
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