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At the triple point of a pure substance, the number of degrees of freedom is
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?
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Understanding the Triple Point
The triple point of a pure substance is a unique condition where three phases coexist in thermodynamic equilibrium: solid, liquid, and gas. This phenomenon is critical in thermodynamics and helps define the substance's properties.
Degrees of Freedom Explained
In thermodynamics, the number of degrees of freedom refers to the number of independent variables that can be changed without violating the system's equilibrium. The Gibbs phase rule is instrumental in determining this:
- Formula: F = C - P + 2
- F = Degrees of freedom
- C = Number of components
- P = Number of phases
Application to Pure Substances
For a pure substance at its triple point:
- Components (C): 1 (since it's a single substance)
- Phases (P): 3 (solid, liquid, gas)
Using the formula:
F = 1 - 3 + 2 = 0
Conclusion: Zero Degrees of Freedom
At the triple point:
- Equilibrium: All three phases are in equilibrium, meaning that any change in one variable (like pressure or temperature) will affect the others.
- Implication: There are no independent variables that can be altered without disrupting this equilibrium.
Thus, the correct answer is indeed option 'A': the number of degrees of freedom at the triple point of a pure substance is 0. This highlights the unique stability and specific conditions required for a substance to exist simultaneously in all three states.
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At the triple point of a pure substance, the number of degrees of freedom isa)0b)1c)2d)3Correct answer is option 'A'. Can you explain this answer?
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