Answered: "In a candy company, separate streams…

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

"In a candy company, separate streams of sugar, butter, corn syrup, cocoa, vanilla extract, and milk enter a mixer boiler and come out as fudge. The sugar (sucrose) is purchased from a sugar farmer who used to be a chemist and who packages it by the lbmol, and the process uses 1.75 lbmol/hr. Butter is fed to the process at a rate of 60 lbm/hr, corn syrup is fed at a rate of 3.5 gal/hr, and cocoa is fed at 17 lbm/hr. Finally, vanilla extract is fed at a rate corresponding to 1 lbm of extract for every 30 lbm of sugar. How many gallons of milk per hour must be fed to the process for a total fudge production of 830 lbm/hr

Expert Solution

Step 1

Six different feed streams are entering to produce a fudge at the rate of 830 lbm/hr.

Let sugar is denoted by "S", Butter is denoted by "B", Corn syrup is denoted by "C", cocoa is denoted by "Z", Vanila extract is denoted by "V", Milk is denoted by "M" and Fudge is denoted by "P". (As shown in the diagram)

Given:

S = 1.75 lbmol/hr

B = 60 lbm/hr

C = 3.5 gal/hr

Z = 17 lbm/hr

V = 1 lbm per 30 lbm of "S"

M = ?

P = 830 lbm/hr

The flow rates are given in different units so first convert all the units in same system. Since production rate is given in mass flow rate (lbm/hr), so convert all the flow rates in their respected mass flow rate (lbm/hr) and then calculate the mass flow rate of milk required (in lbm/hr) then convert this mass flow rate into volumetric flow rate (gal/hr)

Density of Milk and corn syrup is assumed to be same as, $ρ$ = 62.4 lbm/ft³

Molecular weight of sugar is, MW_s = 342.3 lbm/lb-mol