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  • First Law of Thermodynamics: Mathematical Expression & Explanation
    The first law of thermodynamics can be expressed mathematically as:

    ΔU = Q - W

    Where:

    * ΔU represents the change in internal energy of a system.

    * Q represents the heat added to the system.

    * W represents the work done by the system.

    Explanation:

    * Internal Energy (U): This is the total energy contained within a system, including kinetic and potential energy of its molecules.

    * Heat (Q): This is the energy transferred between the system and its surroundings due to a temperature difference.

    * Work (W): This is the energy transferred between the system and its surroundings due to a force acting over a distance.

    Key Points:

    * The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed.

    * The equation expresses that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.

    * If heat is added to the system (Q > 0), the internal energy increases (ΔU > 0).

    * If work is done by the system (W > 0), the internal energy decreases (ΔU < 0).

    Note:

    * The sign convention for work can be reversed depending on the definition used. Some sources define work done *on* the system as positive, while others define work done *by* the system as positive.

    * The first law of thermodynamics is a fundamental principle in physics and has wide-ranging applications in various fields, including engineering, chemistry, and biology.

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