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Ch.11 - Liquids & Phase Changes
Chapter 11, Problem 30

Dichloromethane, CH2Cl2, is an organic solvent used for removing caffeine from coffee beans. The following table gives the vapor pressure of dichloromethane at various tem- peratures. Fill in the rest of the table, and use the data to plot curves of Pvap versus T and ln Pvap versus 1/T.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Vapor Pressure

Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid or solid phase at a given temperature. It reflects the tendency of molecules to escape from the liquid phase into the vapor phase. Higher temperatures generally increase vapor pressure, as more molecules have sufficient energy to overcome intermolecular forces and enter the vapor state.
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Clausius-Clapeyron Equation

The Clausius-Clapeyron equation describes the relationship between vapor pressure and temperature for a substance. It can be expressed as ln(P) = -ΔH_vap/(R*T) + C, where ΔH_vap is the enthalpy of vaporization, R is the gas constant, and T is the temperature in Kelvin. This equation is essential for plotting ln(P) versus 1/T, allowing for the determination of ΔH_vap from the slope of the resulting line.
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Graphing Relationships

Graphing relationships between variables, such as vapor pressure versus temperature and ln(vapor pressure) versus 1/temperature, helps visualize and analyze data. The first graph typically shows a nonlinear relationship, while the second graph, based on the Clausius-Clapeyron equation, should yield a linear plot. Understanding how to interpret these graphs is crucial for deriving thermodynamic properties from experimental data.
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Related Practice
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The viscosity of water at 20 °C is 1.00 * 10-3 1N • s>m2 2 higher than dimethyl sulfide 31CH322 S4 2.8 * 10-4 1N • s>m2 2. Explain the difference in viscosity based on chemical structure.
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Textbook Question
Assume that you have a sample of gas at 350 K in a sealed container, as represented in (a). Which of the drawings (b)–(d) represents the gas after the temperature is lowered from 350 K to 150 K? The boiling point of the gas is 90 K.

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Textbook Question
What is the vapor pressure of SiCl4 in mm Hg at 30.0 °C? (See Problem 11.27.)
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Textbook Question
The following diagram shows a close-up view of part of the vapor-pressure curves for a solvent (red curve) and a solution of the solvent with a second liquid (green curve). Is the second liquid more volatile or less volatile than the solvent?

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Textbook Question
The following phase diagram shows part of the liquid–vapor phase-transition boundaries for two solutions of equal con- centration, one containing a nonvolatile solute and the other containing a volatile solute whose vapor pressure at a given temperature is approximately half that of the pure solvent.

(d) Based on your drawing, what is the approximate normal boiling point of the pure solvent?
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Textbook Question
Choose any two temperatures and corresponding vapor pressures in the table given in Problem 11.30, and use those values to calculate ΔHvap for dichloromethane in kJ/mol. How does the value you calculated compare to the value you read from your plot in Problem 11.32?
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