Question

The symbol of F, H, S, ${ V }_{ m }$, and ${ E }^{ 0 }$ denote Helmholtz free energy, enthalpy, entropy, molar volume, and standard electrode potential, respectively. The correct classification of the properties is:
A) F, H, S are intensive, ${ V }_{ m }$ and ${ E }^{ 0 }$ are extensive
B) F, H, S are extensive, ${ V }_{ m }$ and ${ E }^{ 0 }$ are intensive
C) F, H, S, and ${ V }_{ m }$ are intensive and ${ E }^{ 0 }$ is extensive
D) F, H, S, and ${ V }_{ m }$ are extensive and ${ E }^{ 0 }$ is intensive

Answer 1

Hint: We should know that Extensive properties depend on the amount of matter being measured and Intensive properties do not depend on the amount of the substance present. Now try to identify each property given in the question.

Complete answer:
Let’s discuss extensive and intensive properties -
1) Extensive Properties -
We should know that an extensive property is a property that depends on the amount of matter in a sample.
For example, the mass of an object is a measure of the amount of matter that an object contains. A small sample of a certain type of matter will have a smaller mass, and a larger sample will have a larger mass.
2) Intensive Properties -
An intensive property is a property of matter that depends only on the type of matter in a sample and not on the amount.
For example, the electrical conductivity of a substance is an intensive property, it depends only on the type of substance. It is the only reason for Silver, gold, and copper to be excellent conductors of electricity, while glass and plastic are poor conductors.

Now, let’s identify the properties given in the question,
Intensive - molar volume (${ V }_{ m }$) and standard electrode potential (${ E }^{ 0 }$)
Extensive - Helmholtz free energy (F), enthalpy (H), and entropy (S)

Therefore, we can conclude that the correct answer to this question is option B.

Note: You should know that an easy way to tell whether a physical property is intensive or extensive is to take two identical samples of a substance and put them together.
If this doubles the property, it's an extensive property.
If the property is unchanged by, it's an intensive property.