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In thermodynamics, state functions (or point functions) are properties that depend only on the current state of the system, such as internal energy, pressure, temperature, and entropy. Their values are independent of the path taken to reach that state.
Heat and work, on the other hand, are not properties of the system — they are energy transfers that occur during a process. Their values depend on the specific path or process by which the system transitions from one state to another. For example, an ideal gas expanding isothermally does different amounts of work compared to an adiabatic expansion between the same two states.
Therefore, heat and work are path functions.
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