QUESTION 9 At which temperature will carbon dioxide be in the corresponding state to argon at 32 atm and 340K? Please round to 1 decomal place.

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
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is the temp right, 624.9 

QUESTION 9
At which temperature will carbon dioxide be in the corresponding state to argon at 32 atm and 340K? Please round to 1
decomal place.
Transcribed Image Text:QUESTION 9 At which temperature will carbon dioxide be in the corresponding state to argon at 32 atm and 340K? Please round to 1 decomal place.
Law of Corresponding state: It states that all the fluids when
compared at the same reduced temperature and reduced pressure
have approximately the same compressibility factor and all deviate
from the ideal gas behaviour to the same extent.
Reduced Temperature Tr= (given temperature)/(critical
temperature Tc)
Reduced pressure Pr= (given pressure)/(critical pressure Pc)
So, Carbon dioxide have Tc =304.13 K, Pc = 72.8 atm.
Argon has Tc = 150.8 K, Pc = 48.03 atm,
Then Argon reduced properties: Tr = 340/150.8 = 2.055
Pr = 32/48.07 = 0.6663.
So, Carbon dioxide should have nearly the same reduced
properties values to be in the correspondig state. Now, we take this
reduced values for carbon dioxide to find the required temperature
and pressure.
temperature = Tr*Tc = 2.055*304.13 = 624.987 K.
Pressure = Pr*Pc = 0.6663*72.8= 48.51 atm.
Transcribed Image Text:Law of Corresponding state: It states that all the fluids when compared at the same reduced temperature and reduced pressure have approximately the same compressibility factor and all deviate from the ideal gas behaviour to the same extent. Reduced Temperature Tr= (given temperature)/(critical temperature Tc) Reduced pressure Pr= (given pressure)/(critical pressure Pc) So, Carbon dioxide have Tc =304.13 K, Pc = 72.8 atm. Argon has Tc = 150.8 K, Pc = 48.03 atm, Then Argon reduced properties: Tr = 340/150.8 = 2.055 Pr = 32/48.07 = 0.6663. So, Carbon dioxide should have nearly the same reduced properties values to be in the correspondig state. Now, we take this reduced values for carbon dioxide to find the required temperature and pressure. temperature = Tr*Tc = 2.055*304.13 = 624.987 K. Pressure = Pr*Pc = 0.6663*72.8= 48.51 atm.
Expert Solution
Step 1

It is given that carbon dioxide and argon are in the corresponding state.

Given pressure is 32 atm

Given temperature is 340K.

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