(A)
Interpretation:
The rate at which work is produced by the turbine
Concept Introduction:
Write the change in molar enthalpy using the Peng-Robinson equation and residual properties.
Here, molar enthalpy at state 1 and 2 at inert gas is
Write the reduced temperature
Here, critical temperature is
Write the reduced pressure
Here, pressure is
Write the acentric factor in a manner analogous to Soave’s
Write the
Write the Peng-Robinson parameter a at the critical point.
Write the van der Waals parameter
Write the van der Waals parameter
Write the Peng-Robinson equation.
Here, molar volume is
Write the compressibility factor.
Write the residual properties of A.
Write the residual properties of B.
Write the Peng Robinson Equation to calculation for residual molar internal energy.
Here, compressibility factor is Z, constants of residual properties are A and B.
(B)
Interpretation:
The rate of entropy generation
Concept Introduction:
Write the entropy balance equation for the turbine is adiabatic and steady state.
Here, the rate of entropy generation is
Write the change in molar entropy using residuals.
Here, inert gas molar entropy for inlet and outlet streams is
Write the ideal gas change in molar entropy.
Here, ideal gas heat capacity at constant pressure is
Write the residual molar entropy for inlet stream calculated from Peng-Robinson equation.
(C)
Interpretation:
The efficiency of the turbine
Concept Introduction:
Write the change in molar entropy using residuals for a reversible turbine.
Write the residual entropy of the VLE mixture.
Here, quality is q, residual molar entropy for liquid and vapor state is
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