Question

polytropic process derivation

Answer 1

hiiii mate here your answer ✔️ ✔️
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Stay away from running things by the rule book, you could have done the calculation yourself.

W=∫21pdVW=∫12pdV

pVn=const=CpVn=const=C

W=∫21CVndVW=∫12CVndV

W=[C⋅V1−n1−n]21W=[C⋅V1−n1−n]12

W=C⋅V1−n21−n−C⋅V1−n11−nW=C⋅V21−n1−n−C⋅V11−n1−n

multiply with −1−1−1−1

W=−C⋅V1−n2n−1+C⋅V1−n1n−1W=−C⋅V21−nn−1+C⋅V11−nn−1

W=C⋅V1−n1n−1−C⋅V1−n2n−1W=C⋅V11−nn−1−C⋅V21−nn−1

replace with CV−ni=piCVi−n=pi

W=p1⋅V1−p2⋅V2n−1W=p1⋅V1−p2⋅V2n−1

I went the longer way instead of commenting on the switched denominator to add some value for other readers to this question.

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❤️ I hope you mark as brainlist answer ⭐❤️✨✨✨✨

Answer 2

hi

hope this helps you...