The change of entropy caused by heat addition to system is defined as:

Question

BlackTom AI · Accepted Answer

The question asks for the definition of the entropy change caused by heat addition to a system.
Option: dS = δQ/T is presented as the definition to evaluate.
To understand this, recall that the infinitesimal change in entropy for a system is defined as dS = δQ_rev / T, where δQ_rev is the reversible heat transfer into the system at temperature T. This expresses the state function nature of entropy and how it accumulates when heat is added reversibly.
It is important to note a subtle but crucial distinction: the expression dS = δQ/T is strictly valid only for a reversible path. If heat is added irreversibly, the instantaneous heat transfer δQ is not related to the temperature by the same simple relation, and one must consider δQ_rev, or compute ΔS from a reversible path between the same initial and final states (ΔS = ∫(δQ_rev/T) along any reversible path between the two states).
Therefore, the statement can be considered correct in the sense that the differential form for entropy change relies on the reversible heat transfer divided by the temperature, dS = δQ_rev / T. If the option uses δQ/T without the rev subscript, it is commonly understood in thermodynamics education as shorthand for the reversible case, but strictly the precise definition uses δQ_rev.
In summary, the entropy change due to heat addition is defined by dS = δQ_rev / T, with the caveat that the subscript rev is essential to specify the reversible heat transfer, and using δQ for an irreversible process does not generally hold.

The change of entropy caused by heat addition to system is defined as:

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