Daniel López Gaxiola Jason M. Keith Student View Supplemental Material for Elementary Principles of Chemical Processes Example 3.1-2 Effect of Temperature on Liquid Density Liquid methanol can be used in portable fuel cell applications for items such as cell phones or laptop computers. Table 3-147 of Perry's Chemical Engineers Handbook 6 Edition lists the volume expansion of methanol with temperature in degrees Celsius according to: VD1+1.1342x10'T+1.3635×10*T" +0.8741×10*r V. where V, is the volume at O'C. (a) Determine the fractional increase in volume when the temperature changes from 20°C to a temperature of 40°C. Strategy V(T) We can apply the given correlation to determine the fractional increase V, Solution Using the correlation we find at 20°C and 40'C, respectively: V(20) 2-[1+1.1342x10*( – )+1.3635×10*(- +0.8741x10*( – Y] V such that V(20) = V, Also, , v(40) [1+1.1342x10"(_ )+1.3635x10*( Y +0.8741×10*(- '] such that V(40) V, - v, Thus, Daniel López Gaxiola Jason M. Keith Student View Supplemental Material for Elementary Principles of Chemical Processes V(40) V(20) (b) Although the correlation is only valid above 0°C, estimate the fractional increase in volume when the temperature changes from 20°C to a temperature of -20°c. Strategy V(T) We can apply the given correlation to determine the fractional increase- Solution Using the correlation we find at-20°C: V-20 -[1+1.1342x10"(– +1.3635x10*(- +0.8741x10*(- ] V. such that V(-20) - V, Thus, V(-20) V(20)
Daniel López Gaxiola Jason M. Keith Student View Supplemental Material for Elementary Principles of Chemical Processes Example 3.1-2 Effect of Temperature on Liquid Density Liquid methanol can be used in portable fuel cell applications for items such as cell phones or laptop computers. Table 3-147 of Perry's Chemical Engineers Handbook 6 Edition lists the volume expansion of methanol with temperature in degrees Celsius according to: VD1+1.1342x10'T+1.3635×10*T" +0.8741×10*r V. where V, is the volume at O'C. (a) Determine the fractional increase in volume when the temperature changes from 20°C to a temperature of 40°C. Strategy V(T) We can apply the given correlation to determine the fractional increase V, Solution Using the correlation we find at 20°C and 40'C, respectively: V(20) 2-[1+1.1342x10*( – )+1.3635×10*(- +0.8741x10*( – Y] V such that V(20) = V, Also, , v(40) [1+1.1342x10"(_ )+1.3635x10*( Y +0.8741×10*(- '] such that V(40) V, - v, Thus, Daniel López Gaxiola Jason M. Keith Student View Supplemental Material for Elementary Principles of Chemical Processes V(40) V(20) (b) Although the correlation is only valid above 0°C, estimate the fractional increase in volume when the temperature changes from 20°C to a temperature of -20°c. Strategy V(T) We can apply the given correlation to determine the fractional increase- Solution Using the correlation we find at-20°C: V-20 -[1+1.1342x10"(– +1.3635x10*(- +0.8741x10*(- ] V. such that V(-20) - V, Thus, V(-20) V(20)
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
Related questions
Question
Answer the blank in a and b. Show solutins. This is about chemical engineering calculations.
![Daniel López Gaxiola
Student View
Jason M. Keith
Supplemental Material for Elementary Principles of Chemical Processes
Example 3.1-2 Effect of Temperature on Liquid Density
Liquid methanol can be used in portable fuel cell applications for items such as cell phones
or laptop computers.
Table 3-147 of Perry's Chemical Engineers' Handbook 6h Edition lists the volume
expansion of methanol with temperature in degrees Celsius according to:
V(T)
=[1+1.1342x10 T+1.3635x10*T°+0.8741x10"T"
V.
where V, is the volume at 0°C.
(a) Determine the fractional increase in volume when the temperature changes from 20°C to
a temperature of 40°C.
Strategy
V(T)
We can apply the given correlation to determine the fractional increase
V.
Solution
Using the correlation we find at 20°C and 40°C, respectively:
V(20)
2=[1+1.1342x10(_)+1.3635x10
V.
+0.8741x10* ]
such that
V(20) =
Also,
V(40)
2=[1+1.1342x10 (_ )+1,3635x10 +0.8741x10* 1
V,
such that
- v.
V(40)=
Thus,
Daniel López Gaxiola
Jason M. Keith
Student View
Supplemental Material for Elementary Principles of Chemical Processes
V(40)
V(20)
(b) Although the correlation is only valid above 0°C, estimate the fractional increase in
volume when the temperature changes from 20°C to a temperature of -20°C.
Strategy
V(T)
We can apply the given correlation to determine the fractional increase
V.
Solution
Using the correlation we find at -20°C:
V(-20) –[1+1.1342x10°( – )+1.3635×10*(_ )' +0.8741x10"(– ']
such that
V(-20) =
Thus,
V(-20)
V(20)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd23b7518-d16a-4116-9407-3f4960d1db55%2Fb626a2e6-82e6-43a4-839e-e71726113e79%2Fas18b2e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Daniel López Gaxiola
Student View
Jason M. Keith
Supplemental Material for Elementary Principles of Chemical Processes
Example 3.1-2 Effect of Temperature on Liquid Density
Liquid methanol can be used in portable fuel cell applications for items such as cell phones
or laptop computers.
Table 3-147 of Perry's Chemical Engineers' Handbook 6h Edition lists the volume
expansion of methanol with temperature in degrees Celsius according to:
V(T)
=[1+1.1342x10 T+1.3635x10*T°+0.8741x10"T"
V.
where V, is the volume at 0°C.
(a) Determine the fractional increase in volume when the temperature changes from 20°C to
a temperature of 40°C.
Strategy
V(T)
We can apply the given correlation to determine the fractional increase
V.
Solution
Using the correlation we find at 20°C and 40°C, respectively:
V(20)
2=[1+1.1342x10(_)+1.3635x10
V.
+0.8741x10* ]
such that
V(20) =
Also,
V(40)
2=[1+1.1342x10 (_ )+1,3635x10 +0.8741x10* 1
V,
such that
- v.
V(40)=
Thus,
Daniel López Gaxiola
Jason M. Keith
Student View
Supplemental Material for Elementary Principles of Chemical Processes
V(40)
V(20)
(b) Although the correlation is only valid above 0°C, estimate the fractional increase in
volume when the temperature changes from 20°C to a temperature of -20°C.
Strategy
V(T)
We can apply the given correlation to determine the fractional increase
V.
Solution
Using the correlation we find at -20°C:
V(-20) –[1+1.1342x10°( – )+1.3635×10*(_ )' +0.8741x10"(– ']
such that
V(-20) =
Thus,
V(-20)
V(20)
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