JEE Chemistry 2023 Question with Solution

Given: The listed properties are Mole, Volume, Molar heat capacity, Molarity, $E^\circ_{\text{cell}}$, Gibbs free energy change, Molar mass, and Mole.

Find: The total number of intensive properties.

Intensive properties do not depend on the amount of substance, while extensive properties depend on the quantity of the substance.

Classification of the given properties:

• Extensive properties: Mole, Volume, Gibbs free energy change $\left(\Delta G\right)$
• Intensive properties: Molar mass, Molar heat capacity, Molarity, Standard cell potential $\left(E^\circ_{\text{cell}}\right)$

Thus, the total number of intensive properties is

Therefore, the total number of intensive properties is $4$.

Given: A mixed list of thermodynamic and solution properties is provided.

Find: Count only those properties that remain unchanged with change in the amount of substance.

Use the definition:

• If a property depends on the amount of substance, it is extensive.
• If a property does not depend on the amount of substance, it is intensive.

Now classify each relevant item from the list:

1. Mole → extensive
2. Volume → extensive
3. Molar heat capacity → intensive
4. Molarity → intensive
5. $E^\circ_{\text{cell}}$ → intensive
6. Gibbs free energy change $\left(\Delta G\right)$ → extensive
7. Molar mass → intensive

So the intensive properties are:

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

Hence, the number of intensive properties is $4$.