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steem enters a turbain operating at steady state at 2 mpa , 350 c of a certain g

ID: 1842125 • Letter: S

Question

steem enters a turbain operating at steady state at 2 mpa , 350 c of a certain gas is contained within a piston-cylinder assembly. The gas undergoes a The initial pressure process for which the pressurevolume relationship is is 0.2 m The change in specific in is 300 kPa, the initial volume is 0.1 m and the final volume 3. changes internal energy of the gas in the process is 55 kJ/kg. There are no significant kinetic or potential energy. Determine: (a) The work done during the process in kJ. (b) The net heat transfer for the process in kJ

Explanation / Answer

(a)

PV^1.5 = constant

3 x 10^5 x .1 ^1.5 = P2 x .2^1.5

P2 = 1.06 x 10^5

Work done during the process:

Work = P2V2 - P1V1 / 1 - n

W = 17573.6 J

(b)

Net Heat Transfer:

Q = U + W

Q = - 55 x 1000 x 0.4 + 17573.6

Q = -4426.4 J