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

Question

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.

Answer 1

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

$T_2=T_1+\frac Q{mC_p}=518~K,$

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

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

a)

$A=\nu R\Delta T=42~kJ,$

b)

$U=Q-A=274~kJ,$

c)

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