The change in chemical potential (in J) of one mole of an ideal gas, when it is compressed isothermally at 300 K from 1.0 atm to 2.0 atm, is closest to

(In 2 = 0.69)

Concept:

• Increase of G per mole of component (i) when an infinitesimal of it, is added to the system, keeping T, P, and all other components fixed. Chemical potential is an intensive property.
• The chemical potential is given by,

• The change in chemical potential (), when the pressure of an ideal gas is changed from 1 atm to P atm at constant temperature is given by,

Explanation:

• When one mole of an ideal gas, is compressed isothermally at 300 K from 1.0 atm to 2.0 atm, the change in chemical potential is

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• Thus, the change in chemical potential (in J) is closest to 1725 J

Conclusion:-

Hence, the change in chemical potential (in J) of one mole of an ideal gas, when it is compressed isothermally at 300 K from 1.0 atm to 2.0 atm, is closest to 1725 J