Lecture 13 Use of the Air Tables.

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Presentation transcript:

Lecture 13 Use of the Air Tables

The Air Tables A section of Table C.16a is shown below ... According to this table, in order to determine the internal energy and enthalpy of air, all we need is temperature. How can this be? I thought two independent intensive properties fixed the state? What is going on?

The Air Tables Recall that for an ideal gas, Since Table C.16 only requires temperature to determine u and h, these must be ideal gas properties! OK. But, I recall from past reading and homework assignments,

The Air Tables If we can consider the heat capacity constant (at an average value between the two temperatures,) So, what is the purpose of Table C.16? Consider the case where the heat capacity cannot assumed to be constant ...

The Air Tables Consider the following integration scheme ... In this equation, Tref is an arbitrary reference temperature. It is arbitrary, because it cancels out of the calculation above! Therefore ... looking up an enthalpy value in Table C.16 is like performing one of the integrations above! The effect of the variable heat capacity is included!

Example (w/Air Tables) Given: Air is compressed in a piston-cylinder assembly from 10 psia, 500 R to a final volume of 1 ft3. The process is polytropic with n = 1.25. The mass of the air in the cylinder is 0.5 lbm. Assuming that the air properties can be modeled using the ideal gas law, determine the work and heat transfer (both in Btu). Use the Air Tables (C.16) to get the properties of the air. Find: The work and heat transferred in this process.