Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)
Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)
1st Edition
ISBN: 9781111580704
Author: Kevin D. Dahm, Donald P. Visco
Publisher: Cengage Learning
Question
Chapter 8.6, Problem 12P

(A)

Interpretation Introduction

Interpretation:

The best estimate of the triple point pressure and temperature.

Concept Introduction:

The Clausius Clapeyron equation to obtain the value of ΔH_vap using the 3rd and 4th phases is,

ΔH_vap=ln(P3satP4sat)R(1T31T4)

Here, temperature for phases 3 and 4 is T3andT4, gas constant is R, vapor pressure for phases 3 and 4 is P3sat and P4sat respectively, and change in molar enthalpy of vaporization is ΔH_vap.

The Clausius Clapeyron equation to obtain the value of ΔH_sub using the 1st and 2nd phases is,

ΔH_sub=ln(P2satP1sat)R(1T21T1)

Here, temperature for phases 1 and 2 is T1andT2, gas constant is R, vapor pressure for phases 1 and 2 is P1sat and P2sat respectively, and change in molar enthalpy of sublimation is ΔH_sub.

The expression to obtain the pressure at triple point is,

ln(PTP1sat)=ΔH_subR(1TT1T1)

Here, temperature at transition point is TT.

The expression to obtain the pressure at transition point is,

ln(PTP1sat)=ΔH_vapR(1TT1T1)

(B)

Interpretation Introduction

Interpretation:

The best estimate of pressure at which solid-liquid equilibrium occurs at T=50°C.

Concept Introduction:

The Clapeyron Equation to model solid-liquid equilibrium is,

dPsatdT=ΔH_fusT(V_LV_S)dPsat=ΔH_fusT(V_LV_S)dT

Here, molar volume for liquid and solid state is V_L and V_S, temperature is T, change in molar enthalpy of fusion is ΔH_fus, and change in vapor pressure with respect to change in temperature is dPsatdT.

The change in molar enthalpy of sublimation is,

ΔH_sub=ΔH_vap+ΔH_fusΔH_fus=ΔH_subΔH_vap

(C)

Interpretation Introduction

Interpretation:

The best estimate of the temperature at which the liquid vapor equilibrium occurs at P=0.15bar.

Concept Introduction:

The expression to obtain the temperature at which liquid-vapor equilibrium occurs at P=0.15bar is,

ln(PTP1sat)=ΔH_vapR(1TT1T1)

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