Bubble point temperature (P and x¡ are known): 1. Estimate T. Note: When Raoult's law is applicable, select a temperature between (Tsat)min and (Tşat)max. )тах- vap 2. Rewrite Equation 10 (P = E¡x;P"dP) as a function of T using Antonie Equations and calculate Pcalc- 3. Compare Pcalc with the specified P. If Pcalc >P, assumed T is too high; if Pcalc

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Chapter1: Introduction
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**Bubble Point Temperature (P and x<sub>i</sub> are known):**

1. **Estimate T.**

   *Note: When Raoult’s law is applicable, select a temperature between (T<sub>i</sub><sup>sat</sup>)<sub>min</sub> and (T<sub>i</sub><sup>sat</sup>)<sub>max</sub>.*

2. **Rewrite Equation 10 (P = Σ x<sub>i</sub>P<sub>i</sub><sup>vap</sup>)** as a function of T using Antoine Equations and calculate P<sub>calc</sub>.

3. **Compare P<sub>calc</sub> with the specified P.** If P<sub>calc</sub> > P, assume T is too high; if P<sub>calc</sub> < P, assume T is too low. When the calculated pressure matches the specified pressure, determine vapor pressures of pure components from Antoine equations.

4. **Mole fractions in the vapor phase are calculated** from Equation 5 (y<sub>i</sub>P = x<sub>i</sub>P<sub>i</sub><sup>vap</sup>).

---

**Example 3:**

Estimate the bubble point temperature of a liquid mixture consisting of 50% n-pentane (1), 45% n-hexane (2), and 5% n-heptane (3) at 0.8 bar. Also calculate the composition of the first bubble of vapor.
Transcribed Image Text:**Bubble Point Temperature (P and x<sub>i</sub> are known):** 1. **Estimate T.** *Note: When Raoult’s law is applicable, select a temperature between (T<sub>i</sub><sup>sat</sup>)<sub>min</sub> and (T<sub>i</sub><sup>sat</sup>)<sub>max</sub>.* 2. **Rewrite Equation 10 (P = Σ x<sub>i</sub>P<sub>i</sub><sup>vap</sup>)** as a function of T using Antoine Equations and calculate P<sub>calc</sub>. 3. **Compare P<sub>calc</sub> with the specified P.** If P<sub>calc</sub> > P, assume T is too high; if P<sub>calc</sub> < P, assume T is too low. When the calculated pressure matches the specified pressure, determine vapor pressures of pure components from Antoine equations. 4. **Mole fractions in the vapor phase are calculated** from Equation 5 (y<sub>i</sub>P = x<sub>i</sub>P<sub>i</sub><sup>vap</sup>). --- **Example 3:** Estimate the bubble point temperature of a liquid mixture consisting of 50% n-pentane (1), 45% n-hexane (2), and 5% n-heptane (3) at 0.8 bar. Also calculate the composition of the first bubble of vapor.
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