free energy is extensive property while chemical potential is an intensive property
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An intensive property is a bulk property meaning that it is a local physical property of a system that does not depend on the system size or the amount of material system.
By contrast extensive properties as the mass, volume of system are additive for subsystem because they increase or decrease they grow larger and smaller respectively
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∆rG that is free energy of cell reaction is an extensive property, whereas ECell that is chemical potential is an intensive property. This is so because an intensive property is a physical property that does not depend on the size or quantity of the system.
Explanation :
Intensive property :
- We know that an intense property of matter is any property of matter that is independent of the size or amount of the material in any way.
- Temperatures, densities, colours, melting and boiling points, and other characteristics are all intense features because they are unaffected by changes in the size or quantity of the material.
- Since it is an intense property, the density of one litre of water or one hundred litres of water won't change.
- The size or quantity of matter in a system affects a system's comprehensive properties.
Extensive property :
- A property is referred to as extensive if its value is equal to the total of the values for all of the system's components.
- Examples of comprehensive attributes are volume, energy, and mass.
- Extensive qualities of matter are those that change in value as the size or quantity of the matter changes.
- Examples of extensive properties of matter include length, mass, volume, weight, and others that depend on the quantity or size of the matter.
- Consider two boxes constructed of the same material, one with a four-liter capacity and the other with a ten-liter capacity.
- In comparison to a box with a four-litre size, the ten-litre box will hold more material.
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