The Euken coefficient is defined as = (T/V) U . a. Show that the Euken

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The Euken coefficient ξ is defined as ξ = (∂T/∂V)U

a. Show that the Euken factor is also equal to

{= T (OP/OT) - P Cv 

b. What is the value of the Euken coefficient for an ideal gas? 

c. Develop an explicit expression for the Euken coefficient for a gas that is described by the truncated virial equation

PV RT Z=1+ B(T) V

d. Develop an expression for the Euken coefficient for a gas that is described by the Peng-Robinson equation of state.

P = RT aa Vm-b V2+2bVm  b

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