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The notation dE = d slash Q + d slash W represents changes in heat (Q) and work (W) that are not true differentials in thermodynamics. The slashed 'd' indicates inexact differentials, contrasting with exact differentials denoted by 'd' or δ. This distinction is crucial as the integral of inexact differentials depends on the path taken in thermodynamic processes, while exact differentials depend solely on initial and final states. Understanding this notation is essential for grasping the principles of the First Law of Thermodynamics.
PREREQUISITESStudents of physics, engineers specializing in thermodynamics, and anyone seeking to deepen their understanding of thermodynamic principles and notations.
Wikipedia said:The infinitesimal heat and work in the equations above are denoted by δ, rather than exact differentials denoted by "d", because they do not describe the state of any system. The integral of an inexact differential depends upon the particular path taken through the space of thermodynamic parameters while the integral of an exact differential depends only upon the initial and final states. If the initial and final states are the same, then the integral of an inexact differential may or may not be zero, but the integral of an exact differential will always be zero. The path taken by a thermodynamic system through a chemical or physical change is known as a thermodynamic process.
kloptok said:It looks like you are reading about thermodynamics. The slash signifies that the changes in Q and W are not true differentials. Quoting the Wikipedia article on the First law of thermodynamics which uses a δ rather than the slashed d: