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Question: In the friction-free piston-cylinder assembly, initially there is a volume of 0.1 m’air at 300 K temperature. The air is heated at a constant pressure of 300 kPa, at a constant piston velocity and a temperature of 600 K for 30 s. In this context, calculate the power to be given to the piston as [kW]. Show the process in the diagram T (°C) - v(m/kg).

Answer 1

Question : : V2 Ti=3ooke -V1=0./m² T2 = 600k Pq=300kPaol ► 2=300k pa. Initial condition Final condition that is supplied at constant pressure P= 300kPa For 30 sec t = 30secs and Piston is moving with constant relocity For Constant Pressure Process & Tz 300 600. = To Vi 1/2 0.1 V2 1/2 = 0.2 m3 Pe Pressure Power Power given To Piston is P x[(ve-w) Box(02-0-1) t Na-V) - Volume Kate Power Power =1kw

. Process in Temperature vs specific Volume graph 327°c (1-2) Poocess ㅟ 2 1 27°C Vi 1=0.287 V2 = 0.574 *** For P=c VaT Kelvin V =¢ T 7 Constant *** Ravi mass of of air en Piston Cylinder 0.287 KI legk m= Piv 300 x0.) RT 0:287x300 m = 0.34843 kg O V;- Vs.0.1 0.2 0.34843 0.34843 V;=0.287 m3/ICS V2=0.574 m3 Ikgo V2 = V2 m