Concise Thermodynamics: Principles and Applications in by Jeremy Dunning-Davies

By Jeremy Dunning-Davies

This one-semester path textual content introduces simple rules of thermodynamics and considers numerous functions in technology and engineering. the trendy assurance is compact but self contained and holistic, with enough fabric in a concise and economically-priced ebook for complicated undergraduates and postgraduates analyzing for first and better levels, and for execs in study and undefined. The mathematical prerequisite is an knowing of partial differentiation.

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Extra resources for Concise Thermodynamics: Principles and Applications in Physical Science and Engineering, Second Edition

Sample text

Then, the entropy change is M=Sf-Sj' During this process, a temperature change may, or may not, have occurred. Whether it has or not, now suppose the system undergoes a quasistatic adiabatic process f ~ k to bring its temperature to that of some arbitrary heat reservoir at temperature T. Since Sf and Sic are equal, The system may be brought into contact with the reservoir and caused to undergo an isothermal process k ~ j until its entropy is the same as it was initially. A quasistatic adiabatic process j ~ i returns the system to its initial state and, since Sj and S, are equal M=Sk-Sj' The only heat transfer, Q, that has taken place in the cycle is during the isothermal process where Q Also, a net amount of work, ~ = T(Sj - Sd· has been done in the cycle where w= Q.

Holds. If the system is split up into various parts. this equation may be generalised to allow for several pressures Pi and external parameters Vi • since the pressure need not be uniform throughout the volume of the gas. If there are r external parameters. dV. However. as follows immediately from Chapter 5 and using the First Law also. 1) has been used and where the equality sign holds if the process involved is quasistatic. 1) have equilibrium states as end-points and. so far. systems under consideration have been supposed closed that is.

375 22 The First Law [Ch3] In the following examples, only the First Law of Thermodynamics will be required. (4) Consider the equation =a pdt -/(,dp d(log V) (5) (a) how must a p and /(, be defined for this result to hold? (b) interpret (c) show that a p and x, physically in words. p; V,p leads to d'Q = Cydt + lydV = Cpdt + lpdp = mydV + mpdp where Cy =( d'cl Q ) ,Cp y =( d'cl Q are the constant volume and constant ) p pressure heat capacities respectively; ly =( a:) ,Ip =( d'q"Q) are the latent t heats my of =( a:) volume ,m p p and pressure increase respectively; and =( d'f) v .

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