Solve Entropy Change of Nitrogen in a Polytropic Process

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SUMMARY

The discussion centers on calculating the entropy change of 1.2 kg of nitrogen gas during a polytropic process characterized by the equation PV^1.3 = constant. The initial conditions are 120 kPa and 300 Kelvin, with the volume reduced by half. The entropy change can be determined using the formula ΔS = m * (C_v * ln(T2/T1) + R * ln(V1/V2)), where C_v is the specific heat at constant volume, R is the specific gas constant for nitrogen, and T1 and T2 are the initial and final temperatures, respectively.

PREREQUISITES
  • Understanding of polytropic processes in thermodynamics
  • Knowledge of the ideal gas law and specific heat capacities
  • Familiarity with entropy calculations in thermodynamic systems
  • Proficiency in using thermodynamic tables for nitrogen
NEXT STEPS
  • Study the derivation of the entropy change formula for ideal gases
  • Learn about specific heat capacities for nitrogen at various temperatures
  • Explore the implications of polytropic processes in real-world applications
  • Investigate the use of thermodynamic tables for calculating properties of gases
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Students and professionals in mechanical engineering, thermodynamics, and anyone involved in the study of gas behavior under varying conditions.

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Hello all Genius people,
how r u .This question might be easy for u but i am not able to solve this question.Can anybody of u tell me to solve this problem in detail.I will be very thank ful to u .please please solve in detail.i have spent 2 days just thinking about this question but i was not able to get the right answer.

QUESTION :

A piston cylinder device contains 1.2 kg of nitrogen gas at 120 kpa and 300 kelvin. the gas is now compressed slowly in a polytropic process during whivh PV ^1.3=constant .The process end when the volume is reduced by one-half. Determine the entropy change of nitrogen during the process.
 
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Surely your textbook contains a formula for caculating entropy under these conditions.
 
no sir nothing is giving for calculating entropy under such conditions please please tell me the solution of this question
 

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