Question

1. A gas (1.00 mol) obeying the following equation of state (EOS) is compressed from P 1.00 atm to P= 2.00 atm isothermally (300K) and reversibly: n RT P V nb (a) [5 points] Calculate the entropy change, AS. (b) [10 points] Calculate the amount of heat (q) and work (w) involved. What does the total energy change (AU) tell you about the internal energy of this system?

Answer 1

Equation of state, PzMRT V- mb 1 0) AS calculations, Since, as is to be studied as a function of pressure i. We use Maxwell relation from 7 V-nbe net v= nRT tnb lav), nR to ат. Р Cenye me - © as z lav I ap lote last pR Op 1 - 0

Integrate 6 S.S, = nR (lup]² $ nr lul). os= 1 mol *8-314 IK "molt lu (2) AS2 5763 JK- 6) We know, As - 1 - ① q: TAS • Book( 5-763 3 ) 92 1728.9 J 21.73 kJ w=-fext dv wse for reversible process we - Pfinal (V2 - V.) - ① We derined, V = nRT tab - wo -d eti (167 +96-net -96) wo- latu nRT ( - )

W. - 2 atu (Ingól) (0.0821 Latit ymgtt) (30% (Ź - +) set w -2x0.0821 X 300 fo. Lalu u Joule lwe 24.63 J / from first low of Thermodynamice Aue qtw AU. 1728.9 J + 24.63 J AU. 1753-53 Iz 1.753k I