Statement (I): The three phase (triple State/point) of a single component system possesses a single set of properties. Statement (II): For a single component system, the Gibbs phase rule, F = C + 2 - P (where F is number of independent intensive properties, C is number of components in the system and P is number of phases), reduces to F = 3 - P.

Statement (I): The three phase (triple State/point) of a single component system possesses a single set of properties. Statement (II): For a single component system, the Gibbs phase rule, F = C + 2 - P (where F is number of independent intensive properties, C is number of components in the system and P is number of phases), reduces to F = 3 - P. Correct Answer Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)

Statement (i) As per Gibb’s phase rule

F = C + 2 – P

Where F = Degree of freedom

C = Number of components and

P = Number of phases in the system,

At triple point of a system

No of phases present = 3,

C = 1

Then from Gibb’s Phase rule

F = 1 + 2 - 3 = 0

Since the degree of freedom at triple point of a system is zero, it means that it is a fixed point, therefore it will possess a single set of properties i.e. pressure temperature and volume will be fixed for triple point of a single component system

Statement (ii)

For a single component C = 1

So Gibbs phase rule, F = C + 2 - P  

⇒ F = 1 + 2 - P

∴ F = 3 – P

So, both the statements are correct and the result of first statement is extension  of the second statement, therefore option 1 is correct.