Basic Thermodynamics ~ J. Pohl © | www.THERMOspokenhere.com |
The equation of state of an Ideal Gas is analytic (as opposed to being graphical or tabular). As a consequence, Ideal Gas analysis is greatly expedited; given two of the three properties, p, v and T, the third can be readily obtained. When, in an event, the states of the gas change in an assumed frictionless and prescribed way, that event is called a process. Real processes are complicated and ideal processes (events assumed to be frictionless) never happen. However the idealized frictionless process of an Ideal Gas can be modeled and studied as approximations of reality. Also - the analysic is analytic.
The Idea: In the design of a process (with the system being an Ideal Gas) the initial state of the gas is known and identified as (1). To make specific a process originating at that state and proceeding to some second state we might (i) identify the second state or (ii) make some condition on the manner or path of the process from the initial state.
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We begin (as good a place as any) with the idea of an ideal gas with its two states of an event being initially (1) and finally (2).
We represent these states on a p-v projection of the gases behavior in p-v-T space
(see the sketch).
The states indicated are generally labeled (1) and (2) or thought of as the "initial" and "final" states of the gas as it undergoes some process. It is logical to seek an equation form based upon these states but usable for all states of the process intermediate or "in between." Indeed, a powerful relation has been discovered.
It is logical to suppose the states might be connected by a curve having the following functional form.
![]() | (1) ♦ |
![]() | (2) ♦ |
(pv = (R/M)T simple idea brings many features and aspects of ideal gas processes together into an understandable whole.