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Ch.11 - Liquids and Intermolecular Forces
Chapter 11, Problem 54

You are high up in the mountains and boil water to make some tea. However, when you drink your tea, it is not as hot as it should be. You try again and again, but the water is just not hot enough to make a hot cup of tea. Which is the best explanation for this result? (a) High in the mountains, it is probably very dry, and so the water is rapidly evaporating from your cup and cooling it. (b) High in the mountains, it is probably very windy, and so the water is rapidly evaporating from your cup and cooling it. (c) High in the mountains, the air pressure is significantly less than 1 atm, so the boiling point of water is much lower than at sea level. (d) High in the mountains, the air pressure is significantly less than 1 atm, so the boiling point of water is much higher than at sea level.

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Key Concepts

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

Boiling Point and Atmospheric Pressure

The boiling point of a liquid is the temperature at which its vapor pressure equals the surrounding atmospheric pressure. At higher altitudes, such as in the mountains, the atmospheric pressure is lower than at sea level, which decreases the boiling point of water. This means that water will boil at a lower temperature, resulting in less heat available for making hot tea.
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Vapor Pressure

Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid or solid form. As temperature increases, the vapor pressure of a liquid also increases, leading to boiling. In high-altitude conditions, the lower atmospheric pressure allows water to reach its boiling point at a lower temperature, which can affect the temperature of the water used for brewing tea.
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Heat Transfer and Evaporation

Heat transfer occurs when thermal energy moves from a hotter object to a cooler one. Evaporation is a cooling process where molecules at the surface of a liquid gain enough energy to escape into the vapor phase. In high-altitude environments, rapid evaporation can occur, which may further cool the remaining liquid, making it difficult to achieve the desired temperature for hot tea.
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Related Practice
Textbook Question

The critical temperatures and pressures of a series of halogenated methanes are as follows: (c) Predict the critical temperature and pressure for CCl4 based on the trends in this table. Look up the experimentally determined critical temperatures and pressures for CCl4, using a source such as the CRC Handbook of Chemistry and Physics, and suggest a reason for any discrepancies.

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Textbook Question

(a) Place the following substances in order of increasing volatility: CH4, CBr4, CH2Cl2, CH3Cl, CHBr3, and CH2Br2. (b) How do the boiling points vary through this series? (c) Explain your answer to part (b) in terms of intermolecular forces.

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Textbook Question

(a)Two pans of water are on different burners of a stove.One pan of water is boiling vigorously, while the other is boiling gently. What can be said about the temperature of the water in the two pans?

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Textbook Question

Using the vapor-pressure curves in Figure 11.25, (d) estimate the external pressure at which diethyl ether will boil at 40 °C.

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Textbook Question

Appendix B lists the vapor pressure of water at various external pressures. (c) A city at an altitude of 5000 ft above sea level has a barometric pressure of 633 torr. To what temperature would you have to heat water to boil it in this city?

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Textbook Question
(b) Could you measure the triple point of water by measuring the temperature in a vessel in which water vapor, liquid water, and ice are in equilibrium under 1 atm of air? Explain.
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