[화공열역학] 10장 연습문제
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[화공열역학] 10장 연습문제에 대한 보고서 자료입니다.

목차

10.1. Assuming the validity of Raoult’s law, do the following calculations for the benzene(1)/toluene(2) system:

10.3. Assuming Raoult’s law to apply to the system n-pentane(1)/n-heptane(2),

10.16. A binary system of species 1 and 2 consists of vapor and liquid phase in equilibrium at temperature T. The overall mole fraction of species 1 in the system is z_1=0.65. At temperature,

10.17. For the system ethyl ethanoate(1)/n-heptane(2) at 343.15K.

10.18. A liquid mixture of cyclohexanone(1)/phenol(2) for x_1=0.6 is in equilibrium with its vapor at 144℃. Determine the equilibrium pressure P and vapor composition y_1 from the following information :

10.19. A binary system of species 1 and 2 consists of vapor and liquid phases in equilibrium at temperature T, for which

10.20. For the acetone(1)/methanol(2) system a vapor mixture for which z_1=0.25 and z_2=0.75 is cooled to temperature T in the two phase region and flows into a separation chamber at a pressure of 1 bar. If the composition of the liquid product is to be x_1=0.175, what is required value of T, and what is the value of y_1? For liquid mixtures of this system to a good approximation :

10.21. The following is a rule of thumb: For a binary system in VLE at low Pressure, the equilibrium vapor-phase mole fraction y_1 corresponding to an equimolar liquid mixture is approximately

10.22. A process stream contains light species 1 and heavy species 2. A relatively pure liquid stream containing mostly 2 is desired, obtained by single-stage liquid/vapor separation. Specifications on the equilibrium composition are : x_1=0.002 and y_1=0.950. Use data given below to determine T(K) and P(bar) for the separator. Assume that Eq. (10.5) applies; the calculated P should validate this assumption. Data:

10.26. Assuming the validity of the De Priester charts, make the following VLE calculations for the ethane(1)/propane(2)/isobutene(3)/isopentane(4) system.

본문내용

PROBLEMS

Solutions to some of the problems this chapter require vapor pressures as function of temperature for species which constitute systems in VLE. Table B.2, Appendix B, lists parameter values for the Antoine equation,

lnP^sat/kPa=A-B/(t/℃+C)

10.1. Assuming the validity of Raoult’s law, do the following calculations for the benzene(1)/toluene(2) system:

Parameter

  ≪ 표 ≫


(a) Given x_1=0.33 and T=100℃, find y_1 and P

Antoine equation

lnP^sat/kPa=A-B/(t/℃+C)

Antoine equation 을 이용한 benzene의 부분 압력 구하기




 ≪ … 중 략 … ≫




10.16. A binary system of species 1 and 2 consists of vapor and liquid phase in equilibrium at temperature T. The overall mole fraction of species 1 in the system is z_1=0.65. At temperature,

    In γ_1=0.67x_2^2    In γ_2=0.67x_1^2

    P_1^sat=32.27kPa    P_2^sat=73.14kPa

Assuming the validity of Eq. (10.5),

(a) Over what range of pressures can this system exist as two phase at given T and z_1?

1. Bubble P


z_1=0.65

x_1=z_1 at bubble P

∴ x_1=0.65

K_i=(γ_i P_i^sat)/P

y_1/x_1 =(γ_1 P_1^sat)/P

y_1/x_1 =(exp⁡(0.67x_2^2 ) P_1^sat)/P




 ≪ … 중 략 … ≫




10.21. The following is a rule of thumb: For a binary system in VLE at low Pressure, the equilibrium vapor-phase mole fraction y_1 corresponding to an equimolar liquid mixture is approximately

y_1=(P_1^sat)/(P_1^sat+P_2^sat )

where P_i^sat is a pure-species vapor pressure. Clearly, this equation is valid if Raoult’s law applies. Prove that it is also valid for VLE described by Eq. (10.5), with

lnγ_1=Ax_2^2 lnγ_2=Ax_1^2

y_i P=x_i γ_i P_i^sat Eq.(10.5)

y_1 P=x_1 γ_1 P_1^sat

y_1 P=x_1 exp⁡(Ax_2^2 ) P_1^sat

y_2 P=x_2 γ_2 P_2^sat

y_2 P=x_2 exp⁡(Ax_1^2 ) P_2^sat
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