7. The exact differential equation of enthalpy can be expressed as below: dH = -μСpdp + СpdT where Cp: constant pressure heat capacity μ: Joule-Thomson coefficient με H a) Derive the exact differential equation of enthalpy from the general exact differential equation of enthalpy: dH = dp + дрт (F), dT 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 atm-1.

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Chapter2: The First Law Of Thermodynamics
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7. The exact differential equation of enthalpy can be expressed as below:
dH = -μСpdp + СpdT
where Cp: constant pressure heat capacity
μ: Joule-Thomson coefficient
με
H
a) Derive the exact differential equation of enthalpy from the general exact differential equation
of enthalpy:
dH =
dp +
дрт
(F),
dT
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 atm-1.
Transcribed Image Text:7. The exact differential equation of enthalpy can be expressed as below: dH = -μСpdp + СpdT where Cp: constant pressure heat capacity μ: Joule-Thomson coefficient με H a) Derive the exact differential equation of enthalpy from the general exact differential equation of enthalpy: dH = dp + дрт (F), dT 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 atm-1.
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