Explanation Write the expression for the work done per unit mass. W ˙ c v m ˙ = − R T ln f 2 f 1 + [ V 1 2 − V 2 2 2 + g ( Z 1 − Z 2 ) ] (I) Here, rate of work done is W ˙ c v , mass flow rate is m ˙ , enthalpy at state 1 is h 1 , enthalpy at state 2 is h 2 , velocity at state 1 is V 1 ,fugacity at state 1 is f 1 , fugacity at state 2 is f 2 , velocity at state 2 is V 2 , acceleration due to gravity is g and potential height at state 1 is Z 1 and the potential height at state 2 is Z 2 . The change in potential energy and kinetic energy are negligible. Substitute 0 for V 1 2 − V 2 2 and 0 for Z 1 − Z 2 in Equation (I). W ˙ c v m ˙ = − R T ln f 2 f 1 (II) Write the expression for the reduced temperature. T R = T T c (III) Here, critical temperature is T c and temperature is T . Write the expression for the reduced pressure. p R = p p c (IV) Here, critical pressure is p c and pressure is p . Write the expression of fugacity. ( f p ) i = C i (V) Here, fugacity coefficient is C i and general pressure is p i . Write the expression for the energy balance equation. Q ˙ c v m ˙ = W ˙ c v m ˙ + ( h 2 − h 1 ) (VI) Write the expression for the change in enthalpy between two states. h 2 − h 1 = h 2 ∗ ( T 2 ) − h 1 ∗ ( T 1 ) − R ¯ T c [ ( h ¯ ∗ − h ¯ R T c ) 1 − ( h ¯ ∗ − h ¯ R T c ) 2 ] Here, specific enthalpy of ideal gas is h ¯ ∗ , specific enthalpy of a gas is h ¯ , specific enthalpy at state 1 is h 1 , specific enthalpy at state 2 is h 2 , universal gas constant is R ¯ , specific enthalpy of ideal gas at state 1 is h 1 ∗ and specific enthalpy of ideal gas at state 2 is h 2 ∗ . As the specific enthalpy is dependent on the temperature ( T ) and the temperature is constant, therefore h 1 ∗ ( T 1 ) = h 2 ∗ ( T 2 ) . Write the expression for the change in enthalpy between two states. h 2 − h 1 = R ¯ T c M [ [ ( h ¯ ∗ − h ¯ R T c ) 2 − ( h ¯ ∗ − h ¯ R T c ) 1 ] ] (VII) Conclusion: Refer to table A-1 “Atomic and critical properties of selected elements and compounds” to obtain molecular weight M as 30.07 kg / kmol , critical temperature T c as 305 K and critical pressure p c as 48.8 bar for Ethane. Substitute 5 bar for p 1 and 48.8 bar for p c in Equation (IV). p R 1 = 5 bar 48.8 bar = 5 48.8 = 0.1 Substitute 40 bar for p 2 and 48.8 bar for p c in Equation (IV). p R 2 = 40 bar 48

Appendices to accompany Fundamentals of Engineering Thermodynamics, 8e

8th Edition

ISBN: 9781118957219

Author: Michael J. Moran, Howard N. Shapiro

Publisher: WILEY

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Chapter 11.9, Problem 118P

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The compression work.

The heat transfer.

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Chapter 11.9, Problem 117P

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Steam enters the high-pressure turbine of a steam power plant that operates on the ideal reheat Rankine cycle at 700 psia and 900°F and leaves as saturated vapor. Steam is then reheated to 800°F before it expands to a pressure of 1 psia. Heat is transferred to the steam in the boiler at a rate of 6 × 104 Btu/s. Steam is cooled in the condenser by the cooling water from a nearby river, which enters the condenser at 45°F. Use steam tables. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the pressure at which reheating takes place. Use steam tables. Find: The reheat pressure is psia. (P4)Find thermal efficiencyFind m dot

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Appendices to accompany Fundamentals of Engineering Thermodynamics, 8e

Ch. 11.9 - Prob. 1E Ch. 11.9 - Prob. 2E Ch. 11.9 - 3. What is an advantage of using the Redlich–Kwong...Ch. 11.9 - To determine the specific volume of superheated...Ch. 11.9 - Prob. 5E Ch. 11.9 - Prob. 6E Ch. 11.9 - Prob. 7E Ch. 11.9 - Prob. 8E Ch. 11.9 - Prob. 9E Ch. 11.9 - Prob. 10E

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The compression work. The heat transfer.