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A binary solution of \( \mathrm{A} \) and \( \mathrm{B} \) is ideal. If total vapour pressure of this solution is represented as
\[
\mathrm{P}_{\mathrm{S}}(\text { in } \mathrm{mm} \mathrm{Hg})=100-50 \mathrm{X}_{\mathrm{B}}
\]
Here, \( \mathrm{P}_{\mathrm{S}} \Rightarrow \) Total vapour pressure
\( X_{B} \Rightarrow \) Mole fraction of \( \mathrm{B} \) in liquid state
This solution is passed through different distillation stages and at a particular stage, it is found that the mole fraction of \( A \) in vapour phase is \( \frac{4}{7} \). The total vapour pressure of solution at this stage of distillation is (in \( \mathrm{mm} \mathrm{Hg} \) ).
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