Work done by cyclic process (thermodynamics)

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SUMMARY

The discussion focuses on calculating the work done by a gas during a cyclic process in thermodynamics, specifically using the equations P1V1=P2V2 and PV=nRT. The user seeks clarification on determining the number of moles (n) when temperature (T) is constant during an isothermal process. It is established that n can be calculated using PV=nRT, resulting in n=14.440 when T is set to 1. The conversation emphasizes the importance of integrating the work done from initial to final states and setting the limits correctly for accurate results.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Familiarity with thermodynamic processes, particularly isothermal processes
  • Knowledge of calculus, specifically integration techniques
  • Basic principles of cyclic processes in thermodynamics
NEXT STEPS
  • Study the derivation and applications of the Ideal Gas Law (PV=nRT)
  • Learn about isothermal processes and their characteristics in thermodynamics
  • Explore integration techniques for calculating work done in thermodynamic systems
  • Investigate cyclic processes and their implications in real-world applications
USEFUL FOR

Students studying thermodynamics, engineers working with gas systems, and anyone involved in calculating work done in cyclic processes.

cpatel23
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Homework Statement


http://s9.postimage.org/5iw5rixyl/image.jpg
(sorry doesn't let me embed)

Homework Equations


P1V1=P2V2
and
PV=nRT

I know that Work done by gas from a --> b = (nRT)*Integral(V2/V1)
My question is do i use PV=nRT to find N? and if T is constant (isothermal) what do I plug in for T when evaluating work?

Using PV=nRT I got n= 14.440 when T=constant (1), is this correct?

I appreciate all of your help.
 
Last edited:
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bump. i really need help.
 
n is constant so you shouldn't need to worry about it.
(PV)/(nRT)=1 for both "a" and "b" so we can set them equal since they both equal 1.
=> P_f*V_f = P_i*V_i
Now you can solve for P_f since everything else is given.
At this point you can integrate from each initial to final (remember to set your integrals limits in the correct order). The total work is the sum of the individual work done on/by the system.
 

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