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Question

For an ideal solution of A and B, YA is the mole fraction of A in the vapour phase at equilibrium. Which of the following plot should be linear?

Options

A.Ptotal vs YA
B.Ptotal vs YB
C.(1/Ptotal) vs YA
D.(1/Ptotal) vs (1/YA)

Solution

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

Hence, the graph of $\frac{1}{P_{\text{total}}}vsY_{A}$is a straight line

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