Question
For an equilibrium phase diagram of a binary A-B alloy at a constant pressure as shown in the figure, the degree of freedom at 'X' is (answer in integer) _______________.
Step 1: Identify phases at point XXX
Point XXX lies inside the two-phase region → Liquid + Solid
So, number of phases:
$ P = 2 $
Step 2: Apply Gibbs phase rule (constant pressure)
$ F = C - P + 1 $
For binary system:
$ C = 2 $
So,
$ F = 2 - 2 + 1 = 1 $
Final Answer:
$\boxed{1}$
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Important Questions from Phase Diagrams Gibbs Phase Rule Variance
- In the Fe-C system, the invariant reaction Liquid + $\delta \rightleftharpoons \gamma$ takes place at 1493 °C.
This type of reaction is called __________. Maximum number of phases that can be in equilibrium for a 5-component system at constant temperature and pressure is ________ (in integer).
- Match the names listed in Group I with the reactions listed in Group II
Group I Group II P. Eutectic 1. $\gamma + \beta \rightarrow \alpha$ Q. Peritectic 2. $L \rightarrow \alpha + \beta$ R. Peritectoid 3. $L_1 \rightarrow L_2 + \alpha$ S. Monotectic 4. $L + \beta \rightarrow \alpha$ Identify the type of the following invariant reaction:
$liquid \ 1 + solid \ 1 \rightleftharpoons solid \ 2$
- Two phases $\alpha$ and $\beta$ are in thermodynamic equilibrium. If x and y are the only components present in the phases $\alpha$ and $\beta$ and if $\mu_i^j$ represents the chemical potential of component i in phase j, then the condition for equilibrium is
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