The exact differential equation of enthalpy can be expressed as below: dH=-uCpdp + CdT where C: constant pressure heat capacity u: Joule-Thomson coefficient μl= H a) Derive the exact differential equation of enthalpy from the general exact differential equation of enthalpy: dp + (7) dr T dH= Р b) Considering that you use nitrogen gas to make a temperature drop to an isenthalpic system, how much pressure drop is required to cool the system by 20 K? The Joule-Thomson coefficient of nitrogen is µ = 0.27 K atm¹. c) Prove that the Joule-Thomson expansion can occur without change of enthalpy (isenthalpic process).

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Chapter10: Heat Exchangers
Section: Chapter Questions
Problem 10.19P
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8. The exact differential equation of enthalpy can be expressed as below:
dH=-uCpdp + C₂dT where C: constant pressure heat capacity
u: Joule-Thomson coefficient
μl=
a) Derive the exact differential equation of enthalpy from the general exact differential equation of
enthalpy:
= (3), dp + (7) dr
T
dH =
b) Considering that you use nitrogen gas to make a temperature drop to an isenthalpic system, how
much pressure drop is required to cool the system by 20 K? The Joule-Thomson coefficient of
nitrogen is u 3 0.27 K atm¹.
c) Prove that the Joule-Thomson expansion can occur without change of enthalpy (isenthalpic
process).
Transcribed Image Text:8. The exact differential equation of enthalpy can be expressed as below: dH=-uCpdp + C₂dT where C: constant pressure heat capacity u: Joule-Thomson coefficient μl= a) Derive the exact differential equation of enthalpy from the general exact differential equation of enthalpy: = (3), dp + (7) dr T dH = b) Considering that you use nitrogen gas to make a temperature drop to an isenthalpic system, how much pressure drop is required to cool the system by 20 K? The Joule-Thomson coefficient of nitrogen is u 3 0.27 K atm¹. c) Prove that the Joule-Thomson expansion can occur without change of enthalpy (isenthalpic process).
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