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A two-phase $(\alpha+\beta)$ mixture of an $\text{A-B}$ binary system has the following properties:

  1. Phase $\alpha$ has equal weight percentages of $\mathrm{A}$ and $\mathrm{B}$.
  2. Phase $\beta$ has twice the mole fraction of $\mathrm{A}$ compared to $\mathrm{B}$.
  3. The two-phase mixture has equal amounts of $\alpha$ and $\beta$.
  4. Atomic mass of $\mathrm{A}$ is twice that of $\mathrm{B}$.

The mole fraction of $\mathrm{A}$ in the resultant two-phase mixture is

$\text{(Round off to one decimal)}$

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