Question

In the friction-free piston-cylinder assembly, initially at a temperature of 300 K 0.1 There is air in m' volume. Air at 300 kPa constant pressure, constant piston speed and 30 s time it is heated to 600 K. In this context, the power to be given to the piston is [kW] You calculate. Show the process in the diagram T (C)-V (m /kg)

Answer 1

Giren cleta i Initial temperature = 300 € Initial volume Oo1 m3 solution: P₂ = 300kpa T=300k a To = 600k va Prz 300 kpa Vi = 0.1 ms Initial condition final condition. Heat is supplied at constant at constant pressure P= 300 lepa) for 30 see So It - 30 sees Piston is moving with constant velocity & for constant pressure process: V. Va 300 Goo 0:1 V₂ Vas 0.9 MB V, 0.2 m Power given to piston is Py Prenure Puver Vy-V, - Volame rate Puwer 0.2-0.1 = woow 1, Ta 3 (N-V) - { t Boox Power 1 kw T 4-2 Process Process in temperature 327 0 Vs specific volume 27.2 Graph V, 0.227 0.574

constant (P=0); For Pressure vat [v=cT Tain belwin (& onstant Mass of air in Piston cylindes, Rain = 0.887 kg liogle. ma P. V 0.247* 300 Boo Ol RT, 0.306883 3 m= 0.34843 kg W = als V₂ = va m 0.2 0.34843 0.1 0,348L3 V, = 0.287 miling V, a 0.575 moliy