[화공열역학] 11장 연습문제 풀이

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[화공열역학] 11장 연습문제 풀이에 대한 보고서 자료입니다.

목차

11.5. What is the work required for the separation of air (21-mol-% oxygen and 79-mol-% nitrogen) at 25℃ and 1 bar in a steady-flow process into product streams of the pure oxygen and nitrogen, also at 25℃ and 1 bar, if the thermodynamic efficiency of the process 5% and if T_σ=300K?

11.6. What is the partial molar temperature? What is the partial molar pressure? Express results in relation to the T and P of the mixture.

11.7. Show that:

11.8. If the molar density of a binary mixture is given by the empirical expression:

11.9. For a ternary solution at constant T and P, the composition dependence of molar property M is given by:

11.10. A pure-component pressure p_i for species i in a gas mixture may be defined as the pressure that species i would exert if it alone occupied the mixture volume. Thus,

11.12. With reference to Ex. 11.4,

11.13. The molar volume (cm3mol-1) of a binary liquid mixture at T and P is given by:

11.14. For a particular binary liquid solution at constant T and P, the molar enthalpies of mixtures are represented by the equation:

11.15. Analogous to the conventional partial property M ̅_i, one can define a constant-T, V partial property M ̃_i:

11.16. From the following compressibility-factor data for CO_2 at 150℃ prepare plots of the fugacity and fugacity coefficient of CO_2 vs. P for pressure up to 500 bar. Compare result with those found from the generalized correlation represented by Eq. (11.68).

11.28. The excess Gibbs energy of a binary liquid mixture at T and P is given by:

11.31. The excess Gibbs energy of a particular ternary liquid mixture is represented by the empirical expression, with parameters A_12, A_13, and A_23 functions of T and P only:

본문내용

PROBLEMS

11.5. What is the work required for the separation of air (21-mol-% oxygen and 79-mol-% nitrogen) at 25℃ and 1 bar in a steady-flow process into product streams of the pure oxygen and nitrogen, also at 25℃ and 1 bar, if the thermodynamic efficiency of the process 5% and if T_σ=300K?

The General Energy Balance
(d(mU)_cv)/dt=-∆[(U+1/2 u^2+gz) m ̇ ]_fs+Q ̇+work rate
(d(mU)_cv)/dt=-∆[(U+1/2 u^2+gz) m ̇ ]_fs+Q ̇-∆[(PV) m ̇ ]_fs+(W_s ) ̇
(d(mU)_cv)/dt=-∆[(U+PV+1/2 u^2+gz) m ̇ ]_fs+Q ̇+(W_s ) ̇
(d(mU)_cv)/dt=-∆[(H+1/2 u^2+gz) m ̇ ]_fs+Q ̇+W ̇_S
(d(mU)_cv)/dt+∆[(H+1/2 u^2+gz) m ̇ ]_fs=Q ̇+W ̇_s

m=mass
U=internal energy
cv=constant volume
t=time
u=velocity
g=gravity acceleration
z=height
m ̇=rate of mass
fs=flow stream
Q ̇=rate of flow
W ̇_s=rate of shaft work
P=pressure
V=volume
H=enthalpy




　≪ … 중 략 … ≫




11.8. If the molar density of a binary mixture is given by the empirical expression:
ρ=a_0+a_1 x_1+a_2 x_1^2
find the corresponding expression for V ̅_1 and V ̅_2.


Summability
M=∑_ix_i M ̅_i (11.11)
M=x_1 M ̅_1+x_2 M ̅_2 (A)
dM=d(x_1 M ̅_1 )+d(x_2 M ̅_2 )
dM=x_1 dM ̅_1+M ̅_1 dx_1+x_2 dM ̅_2+M ̅_2 dx_2 (B)

Gibbs/Duhems equation
∑_ix_i dM ̅_i=0 (11.14)
x_1 dM ̅_1+x_2 dM ̅_2=0 (C)




　≪ … 중 략 … ≫




11.16. From the following compressibility-factor data for CO_2 at 150℃ prepare plots of the fugacity and fugacity coefficient of CO_2 vs. P for pressure up to 500 bar. Compare result with those found from the generalized correlation represented by Eq. (11.68).

　　≪ 표 ≫


ln∅=∫_0^P(Z_i-1) dP/P (const T)(11.35)
∅=exp⁡[∫_0^P(Z_i-1) dP/P] (const T)
∅≡f_i/P (11.34)

Introduction to Chemical Engineering Thermodynamics
Appendix B Properties of Pure species, P681
Carbon dioxide

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