Answered: A stream containing ethane, propane,…

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

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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Question

A stream containing ethane, propane, and butane has a mass flow rate of 100.0 g/s.
a. Write an expression for the mass fraction of propane, x_p , in terms of the mass fractions of
ethane and butane, x_e and x_b .
b. Write an expression for the molar flow rate of ethane,n_E (lb-mole CH /h), in terms of the
mass fraction of this species, x_E .

Expert Solution

Step 1

Answer a) Let us Assume

Basic: 1 s

Mass of ethane in g= M_e

Mass of propane in g = M_p

Mass of butane in g = M_b

Given:

M_e+ M_p+ M_b = 100 -------------(1)

We know that,

$M a s s F r a c t i o n = \frac{M a s s F r a c t i o n o f C o m p o n e n t i}{T o t a l M a s s F r a c t i o n}$

Therefore,

$M a s s F r a c t i o n o f e t h a n e = x_{e} = \frac{M a s s F r a c t i o n o f e t h a n e (M_{e})}{T o t a l M a s s F r a c t i o n} = \frac{M_{e}}{100}$ ----(2)

$M a s s F r a c t i o n o f p r o p a n e = x_{p} = \frac{M a s s F r a c t i o n o f p r o p a n e (M_{p})}{T o t a l M a s s F r a c t i o n} = \frac{M_{p}}{100}$ -----(3)

$M a s s F r a c t i o n o f b u \tan e = x_{b} = \frac{M a s s F r a c t i o n o f b u \tan e (M_{b})}{T o t a l M a s s F r a c t i o n} = \frac{M_{b}}{100}$ ----(4)