Choose the correct graph for the mixture of the volatile liquid CS$_2$ and acetone.
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In a mixture of volatile liquids, the vapor pressure of each component depends on its mole fraction, and the total vapor pressure is the sum of the partial vapor pressures according to Raoult's Law. Non-ideal behavior might lead to deviations from this relationship.
Step 1: Understanding the behavior of CS$_2$ and acetone.
The given question involves the mixture of two volatile liquids — CS$_2$ and acetone. The correct graph representing the behavior of the mixture should show the relationship between the vapor pressures of the two components and the mole fraction.
Step 2: Ideal solution behavior.
In the case of an ideal solution, the vapor pressure of each component should follow Raoult's Law. The vapor pressures of acetone and CS$_2$ should linearly decrease or increase depending on their mole fraction in the mixture.
Step 3: Analysis of the options.
Option (1) shows a simple linear relationship which is typically not observed for such mixtures.
Option (2) shows an inverse relationship which might represent a different type of mixture behavior.
Option (3) shows the correct behavior where both vapor pressures change smoothly, with CS$_2$ and acetone showing a typical non-ideal solution graph. This is the correct graph.
Option (4) shows an exaggerated difference, which is not correct for this case.
Step 4: Conclusion.
The correct graph is option (3), as it accurately represents the change in vapor pressures of CS$_2$ and acetone in the mixture.
