This problem uses the Peng$-$Robinson property calculator to evaluate the inlet$/$outlets of a heatThis problem considers an adiabatic turbine$/$expander using the Peng$/$Robinson equation of state.

$($a$)$Using the Peng$-$Robinson equation of state, calculate the change in enthalpy $(\frac{J}{m}ol)$ for a

reversible adiabatic turbine$/$expander when steam is expanded from a pressure of $8$MPa and

temperature of $700K$ to a pressure of $1$MPa. Remember to use the correct sign. Use a reference

state $H_R=0$ for a real fluid in the most stable state of aggregation at $298\mathrm{.}15K$ and $0\mathrm{.}1$MPa. $($Note

that the Peng$-$Robinson is only semi$-$quantitative for water, so the results will differ slightly from

steam table calculations.$)$

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What is the change in enthalpy in $(\frac{J}{m}ol)$ if the turbine$/$expander efficiency is ${}_E=0\mathrm{.}88?$ Remember

to use the correct sign.

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exchanger and find the molar flow ratio of stream B to stream A$.$ The stream A consists of water and

is at a pressure of $0\mathrm{.}24$MPa and it enters at $724K$ and leaves at $526K.$ Stream B is nitrogen gas at a

pressure of $1\mathrm{.}2$MPa and enters at a temperature of $342K$ and exits at $455K.$ The reference state is

$H_R=0$ and $S_R=0$ for the real fluid equilibrium state of aggregation at $298\mathrm{.}15K,0\mathrm{.}1$MPa.

Note: One of your specified streams may be water. The Peng$-$Robinson EOS is not particularly

accurate for water, but if you are assigned water, you are asked here to use the Peng$-$Robinson EOS

as a learning tool for an approximate calculation.

A$)$ What is the enthalpy of water entering the heat exchanger in stream $A(\frac{J}{m}ol)?$

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B$)$ What is the enthalpy of water exiting the heat exchanger in stream $A(\frac{J}{m}ol)?$

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C$)$ What is the enthalpy of nitrogen gas entering the heat exchanger in stream $B(\frac{J}{m}ol)?$

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D$)$ What is the enthalpy of nitrogen gas exiting the heat exchanger in stream $B(\frac{J}{m}ol)?$