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The first explicit statement of the first law of thermodynamics was apparently byRudolf Clausiusin 1850. With reference to cyclic thermodynamic processes he stated:

"In all cases in which work is produced by the agency of heat, a quantity of heat is consumed which is proportional to the work done; and conversely, by the expenditure of an equal quantity of work an equal quantity of heat is produced."

Clausius later restated the law also in another form, this time referring to the existence of a function of state of the system called the internal energy, and expressed it in terms of a differential equation for the increments of a thermodynamic process. In essence this equation states:

"In a thermodynamic process of a closed system, a differential change in the internal energy is equal to the difference between the increment of heat accumulated by the system and the increment of work done by it."
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