Solve Entropy Change of Nitrogen in a Polytropic Process

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The discussion revolves around calculating the entropy change of nitrogen gas during a polytropic process in a piston-cylinder device. The gas starts at 1.2 kg, 120 kPa, and 300 K, and is compressed to half its volume under the condition PV^1.3 = constant. Participants are encouraged to provide detailed solutions, as the original poster has struggled to find the necessary formulas in their textbook. The focus is on deriving the entropy change using appropriate thermodynamic principles. A clear solution is sought to resolve the confusion surrounding the calculations.
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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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