1. Identify each given property as intensive or extensive

An intensive property does not depend on the amount of substance. An extensive property does depend on the amount of substance.

Given list:

• Volume
• Molar heat capacity
• Molarity
• $E^\theta_{\text{cell}}$
• Gibbs free energy change
• Molar mass
• Mole

2. Check each one

(i) Volume

Volume increases with amount of substance, so it is extensive.

(ii) Molar heat capacity

This is heat capacity per mole. Since it is expressed per unit amount, it is intensive.

(iii) Molarity

Molarity $= \dfrac{\text{moles of solute}}{\text{volume of solution}}$. It is a concentration term, so it is intensive.

(iv) $E^\theta_{\text{cell}}$

Standard cell potential does not depend on how much material is taken; it depends on the nature of the reaction. Hence it is intensive.

(v) Gibbs free energy change

$\Delta G$ for a process scales with the amount of substance, so it is extensive.

(vi) Molar mass

Molar mass $= \dfrac{\text{mass}}{\text{moles}}$. It is characteristic of a substance and does not depend on sample size, so it is intensive.

(vii) Mole

Number of moles depends on the amount of substance, so it is extensive.

3. Count intensive properties

Intensive properties are:

• Molar heat capacity
• Molarity
• $E^\theta_{\text{cell}}$
• Molar mass

So, total number of intensive properties is

$4$

4. Comparison with stored correct answer

Stored correct answer = $4$

Our derived answer = $4$

So they agree.