We will use this equation in a slightly different way, since it is difficult to define the volume V of the atmosphere. Instead, we define m = mass of Freon-11 in the global atmosphere V x C. With Vin = O and Vout = 0, we can thus write our mass balance equation as: = dm - = P - km dt where P = 1.2 x 1011 grams/year and k = 0.02 year‍¹.

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
icon
Related questions
Question

Assume the production of Freon-11 stopped after 50 years, in the year 2010, as required by the Montreal Protocol. Solve the same mass balance equation for Period 2, namely 2010-2060, where t = 0 corresponds to 2010, and m(t = 0) for Period 2 is equal to m(t = 50) for Period 1. Note that you cannot use one expression to represent both Period 1 and Period 2; you will need to use separate equations with separate initial conditions. Also note that you cannot have a discontinuity in the curve; m(t) cannot change instantaneously in the switch from Period 1 to Period 2. Thus the initial conditions for Period 2 must equal to the ending value of m(t) at t = 50 years from Period 1.

d. Convert your expressions for m(t) for Period 1 and Period 2 into concentrations in ppb. Show the proper units on every value as you do the conversions. Use the total moles of air in the atmosphere and the molecular weight of Freon-11 to accomplish this. Write the expressions for C(t) for Period 1 and Period 2, and graph them on the same graph, as one continuous curve for 1960 – 2060.

We will use this equation in a slightly different way, since it is difficult to define the
volume V of the atmosphere. Instead, we define m = mass of Freon-11 in the global
atmosphere = V x C. With vin = 0 and vout = 0, we can thus write our mass balance
equation as:
dm
= P – k m
dt
where P = 1.2 x 1011 grams/year and k = 0.02 year-1.
Transcribed Image Text:We will use this equation in a slightly different way, since it is difficult to define the volume V of the atmosphere. Instead, we define m = mass of Freon-11 in the global atmosphere = V x C. With vin = 0 and vout = 0, we can thus write our mass balance equation as: dm = P – k m dt where P = 1.2 x 1011 grams/year and k = 0.02 year-1.
Expert Solution
steps

Step by step

Solved in 3 steps with 17 images

Blurred answer
Similar questions
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The