Question

1 - Solve the items of applied chemical thermodynamics

1. Determine a relationship between Cp and the PVT properties of any substance. Tip: Start from the definition of Cp and fundamental relationships.
2. If the previous substance behaves as the ideal gas, show that Cp and Cv are independent of the pressure.
3. What is the relationship between Cp and pressure for a compressed liquid if the isobaric expansion coefficient is independent of pressure.
4. If a gas can be described by the Clausius state equation (P(v-b)=RT) derive the expressions of entropy, enthalpy and internal energy as a function of pressure and temperature.
5. Using the information available in webbook.nist.gov, determine the heat and work required to increase the pressure from 1 bar and 20 ưC to 20 bar isothermically

Answer 1

1. i Heat capacity of constant pressure (0) is es define ! es 11:00! Cpl - ogl OT p . OR, OQ= Tas OR, Cp = Tlas OT cast) P NOW, Entropy is) ist Junction of Temp & pressure (P) S = 7 (PT) OT, | . ܙ ; ܀ 3 ds = op + OPT - (2) la (f), 41 From! Egal jį (2), burting, lastele iili 10 Icil T we got, 19.1 ds = o at + as de T OPT (3) Torrent

(3.). Hom Eq? (5.), Spillu es p dT - Co), ap (5.), T en 17.0 Isobaric Expansion coeff cient (B) is define as, B = to) (8-) רן ררווין or, (0) av ƏT ß.v P 79 Filipino From Eq? (5) & (P), (9.01 o.o. els = Cp T DT ß dp (9.). (9.). 97 gap obey Eq? p(v-b) = RT, POART R Poe putting in Eq? (5.), els = ep Т. ат e an

Enthapy, (H.2 definer masla (۱)()۱( Tas t'y dip gH ET plat R de + 동 T 왠 (RI+b) ap 1 From a - (0) OR, 이어 Cp q T RT de Poal TIRT ( + b) de OR, 이 매 드 Cp dT tb dp, (ii), A Interna stiili Ener99, (0) es du = Tds. Pay } OR dua CuaT 2 1부 (as от 케om E97 -10 , () = 우 - (유)

6. (Of) Run = (12) Tlv V-b ni SO, 2 do I las OT Caut lovat OR, I forbe IP from Eq? | low Eq? -(12.1. love similarly, LEA 11 O 1.1 Ini 1 =O, T ร่ง ap MILO Therefore, Internas Energy és és 7" of (T) only, 1 !! (5.), For tolini Isothermal process. du 50 from. Ist law of bermodynamics, dº du + do, do = dw awa pdy for Ideal goy, pu= RT. AUTOPLUSU Toimipiste

SO, Q = W RT enri en ( 2 P2 -- P- I bar, P2 = 20 bar, T = 20°c no 293 K, So, Q = W = (8.314 J J (293) ens mol K-moj OR, DEW = 72 97.6 J/mo, nol yo