Question

Workdone In Polytropic Process

Answer 1

Explanation:

W=∫21pdV

pVn=const=C

W=∫21CVndV

W=[C⋅V1−n1−n]21

W=C⋅V1−n21−n−C⋅V1−n11−n

multiply with −1−1

W=−C⋅V1−n2n−1+C⋅V1−n1n−1

W=C⋅V1−n1n−1−C⋅V1−n2n−1

replace with CV−ni=pi

W=p1⋅V1−p2⋅V2n−1