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The isothermal Joule-Thomson coefficient is defined as"

A) (dT/dP)_S
B) (dP/dT)_H
C) (dH/dT)_S
D) (dS/dT)_P

1 Answer

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Final answer:

The isothermal Joule-Thomson coefficient indicates the change in temperature of a gas during expansion without heat exchange with the environment, and the closest given option is (dP/dT)_H, describing the change in pressure with temperature at constant enthalpy.

Step-by-step explanation:

The isothermal Joule-Thomson coefficient is not explicitly listed among the choices provided in the question. However, by definition, this coefficient refers to the change in temperature of a real gas as it passes through a porous plug or valve without exchanging heat with its surroundings, which is an isenthalpic process (constant enthalpy, H).

So the closest option would be B) (dP/dT)_H, which describes the rate of change of pressure with respect to temperature at constant enthalpy. The Joule-Thomson coefficient is important in thermodynamics, as it helps predict whether a gas will cool or heat up when allowed to expand without doing any external work.

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