Thermodynamics, Finding Work and Heat transfer

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SUMMARY

The discussion focuses on calculating work and heat transfer for a piston-cylinder assembly containing 2 Kmol of nitrogen gas undergoing two thermodynamic processes. The first process is a constant pressure process at 5 bar, transitioning from a volume of 1.33 m³ to 1 m³, while the second process is a constant volume process leading to a pressure of 4 bar. The user initially calculated work (W) as -1.65 KJ but sought clarification on the appropriate equations to use, specifically whether to apply the ideal gas law or the pV^n = constant equation, which is applicable only in adiabatic conditions.

PREREQUISITES
  • Understanding of ideal gas behavior and equations of state
  • Knowledge of thermodynamic processes, specifically constant pressure and constant volume
  • Familiarity with the first law of thermodynamics (ΔU = Q + W)
  • Ability to perform calculations involving work and heat transfer in thermodynamic systems
NEXT STEPS
  • Calculate the change in internal energy (ΔU) for each process using temperature data
  • Learn about the application of the ideal gas law in thermodynamic calculations
  • Study the implications of adiabatic versus non-adiabatic processes in thermodynamics
  • Explore the relationship between pressure, volume, and temperature in ideal gases
USEFUL FOR

Students studying thermodynamics, engineers working with gas systems, and anyone involved in energy transfer calculations in mechanical systems.

crazyhiindu25
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Homework Statement


Two-tenghts Kmol of Nitrogen in a piston cylinder assembly undergoes two processes in a series as follows...

Process 1-2: Constant pressure at 5 bar from V1=1.33m^3 to V2 = 1m^2
Process 2-3: Constant volume to P3=4bar

Assuming ideal gas behavior and neglecting kinetic and potential energy effects, determine the work and heat transfer for each process in KJ

The Attempt at a Solution



What i have so far is W = f(5 dV, v, 1,1.33) = -1.65KJ. -f=integral

and then Q = ^U + W and I can figure out ^U. The problem i have is with my answer for W. Do i use the equation i presented, or am i suppose to use pV^n = constant. I guess i am just a little confused on what equation is used when.

Thank You
 
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crazyhiindu25 said:

Homework Statement


Two-tenghts Kmol of Nitrogen in a piston cylinder assembly undergoes two processes in a series as follows...

Process 1-2: Constant pressure at 5 bar from V1=1.33m^3 to V2 = 1m^2
Process 2-3: Constant volume to P3=4bar

Assuming ideal gas behavior and neglecting kinetic and potential energy effects, determine the work and heat transfer for each process in KJ

The Attempt at a Solution



What i have so far is W = f(5 dV, v, 1,1.33) = -1.65KJ. -f=integral

and then Q = ^U + W and I can figure out ^U. The problem i have is with my answer for W. Do i use the equation i presented, or am i suppose to use pV^n = constant. I guess i am just a little confused on what equation is used when.

Thank You
pV^n = constant is only used when Q=0, i.e. for adiabatic processes. That is not the case here -- these paths follow either p=constant or V=constant.

Okay, you got W. So if you calculate ΔU, then you can get Q.

What are the temperatures at the three points 1, 2, and 3? That would help you calculate U at each point, and therefore ΔU for each path.
 

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