# 6 - 6) E quations of state: For a simple compressible...

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6) E quations of state: For a simple compressible substance (e.g., air, water) we need to know two properties to set the state. Thus: P = P ( v,T ), or v = v ( P, T ), or T = T ( P,v ) where v is the volume per unit mass, 1/ . Any of these is equivalent to an equation f ( P,v,T ) = 0 which is known as an equation of state. The equation of state for an ideal gas, which is a very good approximation to real gases at conditions that are typically of interest for aerospace applications is: Pv– = R T , where v – is the volume per mol of gas and R is the "Universal Gas Constant", 8.31 kJ/kmol-K. A form of this equation which is more useful in fluid flow problems is obtained if we divide by the molecular weight, M : Pv = RT , or P = RT where R is R / M , which has a different value for different gases. For air at room conditions, R is 0.287 kJ/kg-K. 7) Q u asi-equilibrium processes: A system in thermodynamic equilibrium satisfies: a) mechanical equilibrium (no unbalanced forces) b) thermal equilibrium (no temperature differences)

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## This note was uploaded on 11/22/2011 for the course ANT ANT2000 taught by Professor Monicaoyola during the Fall '10 term at Broward College.

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6 - 6) E quations of state: For a simple compressible...

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