thermodynomic first law mathematically
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First Law of Thermodynamics
Heat as energy was not physical law until it was demonstrated by James Prescott Joule. In tying a descending mass to a paddle wheel immersed in water, and measuring the increased temperature of the water as the mass dropped, Joule solidified the first law of thermodynamics: heat and work are forms of energy, and energy is conserved.
Mathematically, the first law can be written as
\Delta U=\Delta Q+\Delta W,
ΔU=ΔQ+ΔW,
where \Delta UΔU is the internal energy of the system, \Delta QΔQ is the heat supplied to the system, and \Delta WΔW is the work done to the system
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∆U=Q-T
energy cannot be gain and cannot be loss but it change from one kind to another
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