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Ch.11 - Liquids & Phase Changes
Chapter 11, Problem 52

Water at room temperature is placed in a flask connected by rubber tubing to a vacuum pump, and the pump is turned on. After several minutes, the volume of the water has decreased, and what remains has turned to ice. Explain

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The water is at room temperature, which means it is in liquid form. The flask is connected to a vacuum pump, which will reduce the pressure inside the flask when turned on.
When the vacuum pump is turned on, it decreases the pressure inside the flask. According to the phase diagram of water, reducing the pressure can lower the boiling point of water.
As the pressure decreases, the water begins to boil at a lower temperature. Boiling is an endothermic process, meaning it absorbs heat from the surroundings, which in this case is the remaining water.
The heat absorbed during boiling causes the temperature of the remaining water to drop. If the temperature drops below 0°C, the water will freeze, turning into ice.
The vacuum pump reduces the pressure, causing the water to boil and absorb heat, which cools the remaining water enough to freeze it into ice.>

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Key Concepts

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

Phase Changes

Phase changes refer to the transitions between solid, liquid, and gas states of matter. In this scenario, water initially in the liquid phase undergoes a phase change to ice, which occurs when the temperature drops below the freezing point. Understanding phase changes is crucial for explaining how water can freeze under reduced pressure.
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Vapor Pressure and Boiling Point

Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid or solid form. When the vacuum pump is activated, it lowers the pressure above the water, which can cause the boiling point of water to decrease. This reduction in boiling point can lead to rapid evaporation, which explains the decrease in water volume.
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Cooling Effect of Evaporation

The cooling effect of evaporation occurs because the molecules with the highest kinetic energy escape first, leaving behind cooler molecules. As water evaporates in the vacuum, it absorbs heat from the remaining liquid, leading to a drop in temperature that can cause the remaining water to freeze. This principle is essential for understanding the observed phenomenon in the flask.
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Related Practice
Textbook Question
How much energy in kilojoules is needed to heat 5.00 g of ice from -11.0 °C to °30.0 °C? The heat of fusion of water is 6.01 kJ>mol, and the m# olar heat capacity is 36.01 kJ>mol for ice and 75.4 J/K mol2 for liquid water
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Textbook Question
How much energy in kilojoules is released when 25.0 g of ethanol vapor at 93.0 °C is cooled to -11.0 °C? Ethanol has mp = -114.1 °C, bp = 78.3 °C, ΔHvap = 38.56 kJ>mol, and ΔHfusio#n = 4.93 kJ>mol. The molar heat#capacity is 112.3 J>1K mol2 for the liquid and 65.6 J>1K vapor.
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Textbook Question
When ethyl alcohol, CH3CH2OH, dissolves in water, how many hydrogen bonds are formed between one ethyl alcohol molecule and surrounding water molecules? Sketch the hydro- gen bonding interactions. (Hint: Add lone pairs of electrons to the structure before drawing hydrogen bonds.)
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Textbook Question
Benzene has a melting point of 5.53 °C and a boiling point of 80.09 °C at atmospheric pressure. Its density is0.8787 g>cm3 when liquid and 0.899 g>cm3 when solid; it has Tc = 289.01 °C, Pc = 48.34 atm, Tt = 5.52 °C, and Pt = 0.0473 atm. Starting from a point at 200 K and66.5 atm, trace the following path on a phase diagram. (1) First, increase T to 585 K while keeping P constant.(2) Next, decrease P to 38.5 atm while keeping T constant.(3) Then, decrease T to 278.66 K while keeping P constant.(4) Finally, decrease P to 0.0025 atm while keeping Tconstant.What is your starting phase, and what is your final phase?
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