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3.32. One mole of an ideal gas, initially at 30°C and 1 bar, is changed to 130°C and 10 bar by three different mechanic...

3.32. One mole of an ideal gas, initially at 30°C and 1 bar, is changed to 130°C and 10 bar by three different mechanically r

3.32. One mole of an ideal gas, initially at 30°C and 1 bar, is changed to 130°C and 10 bar by three different mechanically reversible processes: The gas is first heated at constant volume until its temperature is 130°C; then it is compressed isothermally until its pressure is 10 bar The gas is first heated at constant pressure until its temperature is 130°C; then it is compressed isothermally to 10 bar The gas is first compressed isothermally to 10 bar; then it is heated at constant pressure to 130°C Calculate Q, W, AU, and AH in each case. Take Cp = (7/2)R and Cy = (5/2)R. Alter- natively, take Cp= (5/2)R_and Cy= (3/2)R.
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Solution Answe Tnilia temPe dature and Pdessure of the Sos aje 30 c ond 1 ba Number of moles ot gas is NoU Cadlulate the VoluCalulote the Finas Volume uSing ideal gag equolion nR T2 A P2 3_ x403IS K Imole x 8 314 loxios Pa V2 The cP ssion For u) doneEnthalpyA H = AH-2 + A H2.3 nCpdT to x(loo) molk Xdloul 2 2.9 K Heat AU-CWo7k c 2.079 S-674나 PART 2 is 403.1s K and the The tAt Consta Pdessue POcess DeO-AH AU-AO = 2079 kJ- 2-91k5 O831 K S w3 = nR T, \n mole R8 314 x4o3. 1S xln 83 Kt 3 718 KJ TotalE\Mole * 8 3l4 X 303 15 x In ILad S-803 KJ Intenno요 enengy,au AU2-3 △나-2 C Mole xS x8 3[4 _3 2 x( 10) 기 1ow Enthalfy, AH- ΔW-Tota heat AU-WOd -2.079kJ -4.992 E T Now Peat the CaculaHons Fo Cv R and p 2 te mPenot ue Tniial Prc SSude of the gos op 300he ina Volume using idel S-L eguotion Cal(ulate 2 oxloPa oo335 s The cepession Fa cany done is alfolocus 2 +2.3 w RT n o oO33EnthaPh AH- AH2 +A112-3 nCpd T+o E1mole x £ xg.3|L J Cay 2.0구9 k3 U -wO&k Heat 12 L7 J -6 74 E J .sIS KS Pante The tem PeratuAt Conslant pre ssure Pecess wooK C! 2 - 247 k-2 079 kJ O 832 S 23nT In P2 J mole ¥ 8 3\ 4 03.15IN ban 772 Total codk 6.886 kPA९ त*, ¨Te c.^D «ेo०० `n hc _i So4hen Do9 ?४०(c s:S i S cg-(cts-s g [श) 3 D९ Ta 1n ८०र०. ।० boा - । लo\Q > ४-३\ - X^o३.। ऽ >At constant Pre ssuoa Pdocess Ae- -247 KJ 2.079J -0 831 K T Total co k o83 kJ +5: 803EJ L.92KJ AU - Cwo& k Totul heat -4.972T

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