Answer to Question #324554 in Molecular Physics | Thermodynamics for Wrya shwani

Question

xygen ( molecular weight 32) is compressed reversibly and polytropically in a

cylinder from 1.05 bar, 15oC to 4.2bar in such a way that one- third of the work input

is rejected as heat to the cylinder walls . calculate the final temperature of the oxygen.

Assume oxygen to be aperfect gas and take Cv = 0.649kJ/kg.K

Answer 1

Answer

Temperature is given

$T'=T*(\frac{P'}{P}) ^(\frac{n-1}{n} ) \\=288*(\frac{420}{105}) ^(\frac{1.267-1}{1.267} ) \\=386K\\=113°C$