Liquids $A$ and $B$ form ideal solution over the entire range of composition. At temperature $T$, equimolar binary solution of liquids $A$ and $B$ has vapour pressure $45$ Torr. At the same temperature, a new solution of $A$ and $B$ having mole fractions $x_A$ and $x_B$, respectively, has vapour pressure of $22.5$ Torr. The value of $x_A / x_B$ in the new solution is. . . . . (given that the vapour pressure of pure liquid $A$ is $20$ Torr at temperature $T$ )

  • A

    $19$

  • B

    $20$

  • C

    $25$

  • D

    $30$

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