In a single component condensed system if degree of freedom is zero maximum number of phase that can co exist

Options

A. 0
B. 1
C. 2
D. 3

Answer

To solve the problem of determining the maximum number of phases that can coexist in a single component condensed system when the degree of freedom is zero, we can use the Gibbs phase rule. Here is a step-by-step solution:

### Step-by-Step Solution:

1. **Understand the Gibbs Phase Rule**: The Gibbs phase rule is given by the formula:
\[ F = C - P + 2 \]
where:
- \( F \) = degree of freedom
- \( C \) = number of components
- \( P \) = number of phases

2. **Identify the Variables**: In this problem:
- The degree of freedom \( F = 0 \) (as given in the question).
- The number of components \( C = 1 \) (since it is a single component system).

3. **Substitute the Known Values**: Plug the values of \( F \) and \( C \) into the Gibbs phase rule equation:
\[ 0 = 1 - P + 2 \]

4. **Simplify the Equation**: Rearranging the equation gives:
\[ 0 = 3 - P \]
This can be rewritten as:
\[ P = 3 \]

5. **Conclusion**: The maximum number of phases \( P \) that can coexist in a single component condensed system with a degree of freedom of zero is **3**.

### Final Answer:
The maximum number of phases that can coexist is **3**.

---