A thermally isolated system at constant pressure consists of 10 kg of air at a temperature of1000 K and 10 kg of water at 300 K, connected together by a heat engine. What would be theequilibrium temperature of the system if1. the heat engine has a thermal efficiency of zero;2. the heat engine is reversible?[Hint: consider the definition of equilibrium defined by the entropy change of the system.]Assume[432.4 K; 376.7 K]for water:C₁ = 4.2 kJ/kg K;K = Cp/C₁ = 1.0;for air:Cy = 0.7 kJ/kg K;K = Cp/C₁ = 1.4.

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Answered: A thermally isolated system at constant…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Which of the following statements correctly completes the sentence: "The state postulate..." states that a system in equilibrium can be fully defined if two independent properties of the system are known. O O O O O ... relates the net heat and work inputs to a system to the change in its internal energy. allows calculation of change in entropy from the heat transfers in a system. states that the work done by a system to with a moving boundary is equal to the area under the process line when plotted on a pV diagram. allows us to convert extensive property values to intensive property values.
Identify the working substance, specify the kind of system and sketch the system boundary. PLEASE ANSWER it in 1hr.
i) Use the thermodynamic identity for a P-V-T system and the equation of state to show that the entropy change of one mole of an ideal gas of vibrating diatomic molecules, as volume and temperature are changed, is given by; 7 AS = S(V;,T;) – S(V;, T;) = ;Rln + Rln T ii) The gas undergoes an isobaric compression from V; to V;/2. Evaluate the change in the number of microstates of the system that occurs as a result. ii) Using the equation derived in i), demonstrate that for an ideal gas undergoing an adiabatic expansion from initial volume V; to final volume V; the change in entropy is zero.
An ideal gas with MW of 29 g/mol, cp = 1.044 kJ/kgK and c₁ = 0.745 kJ/kgK contained in a cylinder-piston assembly initially has a pressure of 175 kPa, a temperature of 22°C, and a volume of 0.30 m³. It is heated slowly at constant volume (process 1-2) until the pressure is doubled. It is then expanded slowly at constant pressure (process 2-3) until the volume is doubled. Draw a figure of the system and the PV diagram showing each state and the path each process takes. Determine the total work done by the system and total heat added (J) in the combined process.
A 300-lb iron casting. initially at 600°F, is quenched in a tank filled with 2121 lb of oil, initially at 80°F. The iron casting and oil can be modeled as incompressible with specific heats 0.10 Btu/lb - °R. and 0.45 Btu/lb - °R, respectively. (a) For the iron casting and oil as the system.determine the final equilibrium temperature, in °F. Ignore heat transfer between the system and its surroundings. °F (b) For the iron casting and oil as the system,determine the amount of entropy produced within the tank, in Btu/°R. Ignore heat transfer between the system and its surroundings. Btu/°R
3. Air is contained within a piston-cylinder assembly The cross sectional area of the piston is 0.01 m². Initially the piston is at 1 bar and 25°C, 10 cm above the base of the cylinder. In this state, the spring exerts no force on the piston. The system is then reversibly heated to 100°C. As the spring is compressed, it exerts a force on the piston according to: F=-kx where k= 50,000 N/m and x is the displacement length from its uncompressed position. Determine the work done. a. -166 J b. -216 J c. 166 J d. 216 J
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Question #2 For the following processes, find the changes in h as appropriate. The initial state pressure is p1 = 0.5 MPa. the final state is 2. a. constant volume : v1 = 0.3 m3/kg, p2 = 0.3 MPa; b. constant entropy : s1 = 6.3 kJ/kg K, p2 = 0.15 MPa; c. constant volume : h1 = 2500 kJ/kg, p2 = 0.2 MPa; d. constant enthalpy : s1 = 6.4 kJ/kg K, p2 = 0.2 MPa;
ANSEER C AND D ONLY. SHOW COMPLETE AND LEGIBLE SOLUTION.
find the changes in h as appropriate. The initial state pressure is p1 = 0.5 MPa. the final state is 2. a. constant volume : v1 = 0.3 m3/kg, p2 = 0.3 MPa; b. constant entropy : s1 = 6.3 kJ/kg K, p2 = 0.15 MPa; c. constant volume : h1 = 2500 kJ/kg, p2 = 0.2 MPa; d. constant enthalpy : s1 = 6.4 kJ/kg K, p2 = 0.2 MPa;
This question requires the use of the Thermodynamic Property Tables supplied as additional material.In addition, for steam, the specific ideal gas constant = 461.5 J/kg KA closed system is comprised of pure water substance initially at a temperature of 500 C and a pressure of 20 MPa (state 1).The system undergoes an isochoric process whereby its pressure drops to 0.1 Mpa (state 2).(a) Evaluate the specific entropy and specific volume of the system at state 1.(b) Evaluate the specific entropy, specific volume and temperature of the system at state 2.(c) Sketch the process on a Temperature-specific entropy plot, showing the lines of constant pressure which pass through steps 1 and 2.(d) For state 1 evaluate the specific volume assuming the steam behaves as an ideal gas and comment on your result.
Answer for J and K

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