The differentials for heat and work need to be changed to inexact differentials
The differentials for heat and work need to be changed to inexact differentials
:Explain the differentials. [[User:Karajou|Karajou]] ([[User talk:Karajou|talk]]) 12:28, 20 November 2016 (EST)
:Explain the differentials. [[User:Karajou|Karajou]] ([[User talk:Karajou|talk]]) 12:28, 20 November 2016 (EST)
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::The internal energy is an exact differential as internal energy is a function of state. That is to say that how it changes is independent of the path taken between two states.
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::Heat and work are inexact differentials as they do depend on the paths taken.
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::Consider this diagram [[click here|http://www.antonine-education.co.uk/Image_library/Physics_5_Options/Applied_Physics/App_04/Cycle_1.gif]]
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::The work done on the gas is proportional the area under the path taken. You can see that going from b to c directly more work is done that if we go from b to a to d to c.
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::Basically, for heat and work, the <math>\,d</math> need to be changed to <math>\delta</math>