Question

Five moles of an ideal gas expands isothermally at 300 K from an initial volume of 100 L to a final volume of 500 L. Calculate: (a) the maximum work the gas can deliver, (b) the heat accompanying the process, (c) AS for the gas.

Answer 1

N . work done in isothermal Expansion of a T an ideal gos fe 1 lets is take ä ges enclosed in a nona insulated cylinder filled with a weightlers and fiction lees pisten P - the Pressure of the gas . -- ff the External Prellore on the piston is equal to the internal Presewe of the gas and the pisten remains stectionary 1 If the Pext is lowered to an amount de ie it falls from pto P.dp. The gas expanded to an amount dv The Bressure of the gas within the cylinden ir Prdp. and ourne changes to from yto redri

- a small amount of coile (8cd) is done by the gas in each step of gupension is given by the product of the external Pressure and increase & toleme ie swa (Po do dy on pdv- dedy fanove the poderce de dv. the sw-pdve Total work done (w) by original colume v the to gas final in expansion fro volume klop pidvidē in for no moles of A PHENRI an idee ges Panel Put op vake in a

colere not be constante .: We mer og tar We noi en W. 2.33 net lag uz ~ This is the expression for an ideal gel in if thermal expansion. Heal absorbed during thermal expansion of an ideal gas is we know that est law of thermo dynamics AC: Qrwi If Qaw ie, heal absorbed is completely used on the expansion woogle. Qe nel 2.33 log 4

I s In the given Problem mdb29) sg ale8 ทะ , 1 = 30016, Ro2 Cal he lool V2=SOOL (о - 2ъзм eq log из U- 2303 X 2x sx 300 x log Sony wa 27303 x 3X163 xlogs was 6.9098103 x logs wa 6r209 Co x 01698 wat u.8 x 13 cal en We und lecal] . . . . .

by teal accompanying in the procees - In clothegraal Procell temperature å constant ie, the change in internal energy of the systems is constant & AGRO All the Heat Wed up in doing expansion of work - from 1st laco . QF AGTW only . Q = 2,303 RT tog 4 ha Q: 2333* s¥ax 300 x loger og Qi 30 3 X 10X360 x 0.69 Q : 468X lo' cali The change in entropy in othermal Procele we know that ASs 2003 nerlog R + 2303 nalogeen Bult for isothermal Brocess sa constant

ay a change in entropy As 2.33 nelog 3 Vie lool, Vasool Robe mas moles OS: 2c 353 275 x log on AS = 2.303 xloģ0.698 Asa 16
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