What Are the Thermodynamic Processes Involved in This Gas Cycle?

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SUMMARY

The discussion focuses on a thermodynamic cycle involving a gas with a mass of 2.3 kg, characterized by three distinct processes: isobaric expansion from state 1 to 2 at 2.3 bar, isothermal compression from state 2 to 3, and isometric process from state 3 to 1 with a specific energy change of 20.5 kJ/kg. Participants are tasked with calculating the work done and heat transfer for each process. Key calculations include the work done during isobaric expansion and isothermal compression, as well as heat transfer for each segment of the cycle.

PREREQUISITES
  • Understanding of thermodynamic processes, specifically isobaric, isothermal, and isometric.
  • Familiarity with the ideal gas law and its applications.
  • Knowledge of work and heat transfer calculations in thermodynamics.
  • Ability to interpret and sketch thermodynamic cycles.
NEXT STEPS
  • Study the calculations for work done in isobaric and isothermal processes.
  • Learn about the first law of thermodynamics and its application in closed systems.
  • Explore the concept of specific heat capacities and their relevance in thermodynamic cycles.
  • Investigate graphical representations of thermodynamic processes, such as PV diagrams.
USEFUL FOR

This discussion is beneficial for students and professionals in mechanical engineering, thermodynamics, and energy systems, particularly those involved in analyzing gas cycles and performing related calculations.

Jack Easton
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HOMEWORK PROBLEMS REQUIRE USE OF HOMEWORK TEMPLATE. THIS WAS ORIGINALLY POSTED IN WRONG FORUM.
if anyone could answer these questions it would be much appreciated

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Q1.

A gas, with mass of 2.3 kg, undergoes a thermodynamic cycle which consists of the following processes,

1→2 Isobaric expansion, =2.3 bar , 1=4.1 m3 and 2=7.9 m3

2→3 Isothermal compression (=constant) where 3=2

3→1 Isometric process where 3−1=20.5 kJkg⁄

First sketch the process and then neglecting ΔK.E. and ΔP.E., determine

a) The work done when the gas undergoes the isobaric expansion, from state 1 to 2: 1→2 .

b) The work done when the gas undergoes the isothermal compression, from state 2 to 3: 2→3 .

c) The heat transfer when the gas undergoes the isobaric expansion, from state 1 to 2: 1→2 .

d) The heat transfer when the gas undergoes the isothermal compression, from state 2 to 3: 2→3.

e) The heat transfer when the gas undergoes the isometric process, from state 3 to 1: 3→1 .
 
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OK. Please articulate in words how you would begin to solve this homework problem.

Chet
 
Jack Easton said:
3→1 Isometric process where 3−1=20.5 kJkg⁄
"Isometric"? Meaning?
 

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