Answer to Question #274658 in Molecular Physics | Thermodynamics for meri

Question #274658

Three kilograms of an ideal gas with R = 204 J/kg-K and k = 1.667 have 316 kJ of heat added during an isobaric process. The initial temperature is 38oC. Determine (a) Wnf, (b) U, (c) S.


1
Expert's answer
2021-12-06T09:40:32-0500

Cp=kRk1=510 JkgK,C_p=\frac{kR}{k-1}=510~\frac{J}{kg\cdot K},

T2=T1+QmCp=518 K,T_2=T_1+\frac Q{mC_p}=518~K,

CV=Rk1=306 JkgK,C_V=\frac{R}{k-1}=306~\frac{J}{kg\cdot K},

ν=CpCVR=1 mol,\nu=\frac{C_p-C_V}{R}=1~mol,

a)

A=νRΔT=42 kJ,A=\nu R\Delta T=42~kJ,

b)

U=QA=274 kJ,U=Q-A=274~kJ,

c)

S=mCplnT2T1=780 JK.S=mC_p\ln\frac{T_2}{T_1}=780~\frac JK.


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