Step 1: Understand intensive and extensive properties.
Thermodynamic properties are classified into two categories:
Intensive properties
and
Extensive properties
Extensive properties depend on the amount or size of the system.
If the quantity of matter changes, these properties also change proportionally.
Examples include:
Mass, volume, enthalpy, internal energy, heat capacity
Intensive properties do not depend on the amount of substance present.
They remain the same even if the system size changes.
Examples include:
Temperature, pressure, density
Step 2: Classify each property given in the question.
Now analyze each property one by one:
(i) Volume
Volume depends on the quantity of matter present.
If the amount of substance doubles, volume also doubles.
Therefore, volume is an extensive property.
(ii) Enthalpy
Enthalpy depends on the size of the system and total energy content.
Hence, enthalpy is an extensive property.
(iii) Density
Density is defined as:
\[
Density=\frac{Mass}{Volume}
\]
It remains constant for a pure substance irrespective of system size.
Thus, density is an intensive property.
(iv) Temperature
Temperature does not depend on the amount of substance.
Hence, it is an intensive property.
(v) Heat Capacity
Heat capacity depends on the amount of matter present.
A larger system requires more heat to raise the temperature.
Therefore, heat capacity is an extensive property.
(vi) Pressure
Pressure remains independent of the size of the system.
Hence, pressure is an intensive property.
(vii) Internal Energy
Internal energy depends on the total amount of substance present.
Therefore, internal energy is an extensive property.
Step 3: Count the extensive properties.
The extensive properties are:
Volume
Enthalpy
Heat Capacity
Internal Energy
Total number of extensive properties:
\[
4
\]
Step 4: Match with the given options.
The correct option is:
\[
(1)\;4
\]
Step 5: Final conclusion.
Hence, the number of extensive properties in the given list is:
\[
\boxed{4}
\]