The expression for the Joule Thompson coefficient for a gas described by the van der Waals equation of state, at low pressures, can be expressed as: 1 2a = HJT —— (12²0 T - b) Cp\R*T i) What will be for an ideal gas? Why must this be the case? ii) How does this expression simplify at high temperature? a) Will μ be positive or negative? b) How does temperature change under conditions of low pressure and high temperature, when this gas expands? iii) How does this expression simplify at low temperature? a) Will μ be positive or negative? b) How does temperature change under conditions of low pressure and low temperature, when this gas expands? iv) Calculate the Joule Thompson coefficient of ethane at 300K and 600K. You can find the heat capacity needed at the NIST Webbook. Search for ethane an then go to the "Gas phase thermochemistry data." Use the values for 1 bar. Pay close attention to units. Your answer should have units of K/atm. The vdw parameters for ethane are: a (atm * 1²/mol²) b (1/mol) 5.562 0.0638 v) Determine the temperature at which expansion of ethane will change from cooling to heating.

The expression for the Joule Thompson coefficient for a gas described by the van der Waals equation of state, at low pressures, can be expressed as: 1 2a = HJT —— (12²0 T - b) Cp\RT i) What will be for an ideal gas? Why must this be the case? ii) How does this expression simplify at high temperature? a) Will μ be positive or negative? b) How does temperature change under conditions of low pressure and high temperature, when this gas expands? iii) How does this expression simplify at low temperature? a) Will μ be positive or negative? b) How does temperature change under conditions of low pressure and low temperature, when this gas expands? iv) Calculate the Joule Thompson coefficient of ethane at 300K and 600K. You can find the heat capacity needed at the NIST Webbook. Search for ethane an then go to the "Gas phase thermochemistry data." Use the values for 1 bar. Pay close attention to units. Your answer should have units of K/atm. The vdw parameters for ethane are: a (atm 1²/mol²) b (1/mol) 5.562 0.0638 v) Determine the temperature at which expansion of ethane will change from cooling to heating.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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