One kilogram of Air contained in a piston-cylinder assembly undergoes the power cycle consisting of the following processes: Process 1-2: Isothermal (T1=T2= 300 K) compression from state 1 at p1= 1 bar and T1=300 K to P2= 3 bar and T2= 300 K. Process 2-3: Constant (specific) volume (υ3 = υ2) heating from P2= 3 bar and T2= 300 K to T3= 1200 K and υ3 = υ2 (to be determined). Process 3-4: Polytropic expansion with exponent n (to be determined) from state 3 at T3= 1200 K and υ3 = υ2 (to be determined) to state 4 at T4= 820 K and υ4 = υ1 (to be determined). Process 4-1: Constant (specific) volume (υ4 = υ1, to be determined) cooling from state 4 at T4= 820 K and υ4 = υ1 (to be determined) to state 1 at p1= 1 bar and T1=300 K. . Complete the following tasks under the assumption of ideal gas behavior for air and negligible changes in kinetic and potential energy in all processes. Find all the properties of the four states: T, p, υ, u, and h; Sketch the thermodynamic cycle in the p-υ and T-υ diagrams; Calculate the change in internal energy, work and heat of all four processes; Calculate the net total work (Wcycle) and heat (Qcycle), the heat entering (Qin) and exiting (Qout) the system, and the thermodynamic efficiency (η) of the power cycle

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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One kilogram of Air contained in a piston-cylinder assembly undergoes the power cycle consisting of the following processes:

Process 1-2: Isothermal (T₁=T₂= 300 K) compression from state 1 at p₁= 1 bar and T₁=300 K to P₂= 3 bar and T₂= 300 K.

Process 2-3: Constant (specific) volume (υ₃ = υ₂) heating from P₂= 3 bar and T₂= 300 K to T₃= 1200 K and υ₃ = υ₂(to be determined).

Process 3-4: Polytropic expansion with exponent n (to be determined) from state 3 at T₃= 1200 K and υ₃ = υ₂(to be determined) to state 4 at T₄= 820 K and υ₄ = υ₁(to be determined).

Process 4-1: Constant (specific) volume (υ₄ = υ₁, to be determined) cooling from state 4 at T₄= 820 K and υ₄ = υ₁(to be determined) to state 1 at p₁= 1 bar and T₁=300 K. .

Complete the following tasks under the assumption of ideal gas behavior for air and negligible changes in kinetic and potential energy in all processes.

Find all the properties of the four states: T, p, υ, u, and h;
Sketch the thermodynamic cycle in the p-υ and T-υ diagrams;
Calculate the change in internal energy, work and heat of all four processes;
Calculate the net total work (W_cycle) and heat (Q_cycle), the heat entering (Q_in) and exiting (Q_out) the system, and the thermodynamic efficiency (η) of the power cycle

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