SolutionHard

Question

Which of the following behaviour is true about the ideal binary liquid solution of liquids ‘A’ and ‘B’, if $P_{A}^{o}$<$P_{B}^{o}$?

Options

A.Plot of Ptotal vs XA is non-linear.
B.Plot of Ptotal vs XB is linear with slope = 0. (d) Plot of Ptotal vs XB is linear with −ve slope.
C.Plot of Ptotal vs XB is linear with slope = 0.
D.Plot of Ptotal vs XB is linear with −ve slope.

Solution

$P_{\text{total}} = X_{A}.P_{A}^{o} + X_{B}.P_{B}^{o} = \left( 1 - X_{B} \right).P_{A}^{o} + X_{B}.P_{B}^{o} = P_{A}^{o} + X_{B}\left( P_{B}^{o} - P_{A}^{o} \right)$

Graph is a straight line with slope$\left( P_{B}^{o} - P_{A}^{o} \right) = + ve$

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