SolutionMedium
Question
5 moles of liquid X and 10 moles of liquid Y make a solution having a vapour pressure of 70 torr. The vapour pressures of pure $X$ and $Y$ are 63 torr and 78 torr respectively. Which of the following is true regarding the described solution?
Options
A.The solution shows positive deviation.
B.The solution shows negative deviation.
C.The solution is ideal.
D.The solution has volume greater than the sum of individual volumes.
Solution
Sol. [Key Concept: Vapour pressure of a solution — Raoult's law and deviations]
$P_{\text{total}\text{~}} = X_{x}P_{x}^{\circ} + X_{y}P_{y}^{\circ}$
$$\begin{matrix} & \ = \frac{5}{15} \times 63 + \frac{10}{15} \times 78 \\ & \ = 21 + 52 \\ & \ = 73\text{~}\text{torr}\text{~} \end{matrix}$$
Observed total pressure of solution is 70 torr.
It is less than calculated total pressure.
Hence, it shows negative deviation.
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