Which of the following reactions in the stratosphere cause an increase in temperature there? \begin{equation}\begin{array}{l}{\text { (a) } \mathrm{O}(g)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{O}_{3}^{*}(g)} \\ {\text { (b) } \mathrm{O}_{3}^{\star}(g)+\mathrm{M}(g) \longrightarrow \mathrm{O}_{3}(g)+\mathrm{M}^{\star}(g)} \\ {\text { (c) } \mathrm{O}_{2}(g)+h \nu \longrightarrow 2 \mathrm{O}(g)}\\\\{\text { (d) } \mathrm{O}(g)+\mathrm{N}_{2}(g) \longrightarrow \mathrm{NO}(g)+\mathrm{N}(g)} \\\ {\text { (e) All of the above }}\end{array}\end{equation}

Short Answer

Expert verified
Reactions (a) and (b) cause an increase in temperature in the stratosphere, as they involve the formation of ozone and the transfer of energy from excited ozone molecules, respectively. Therefore, the answer is (e) All of the above.

Step by step solution

01

Understanding the given reactions

We will analyze each given reaction and determine whether it contributes to an increase in temperature in the stratosphere. (a) O(g) + O2(g) -> O3*(g) In this reaction, an oxygen atom (O) reacts with an oxygen molecule (O2) to form an excited ozone molecule (O3*). (b) O3*(g) + M(g) -> O3(g) + M*(g) In this reaction, an excited ozone molecule (O3*) loses its excess energy by transferring it to another molecule (M), resulting in a non-excited ozone molecule (O3) and an excited molecule (M*). (c) O2(g) + hν -> 2O(g) In this reaction, an oxygen molecule (O2) absorbs ultraviolet radiation (hν) and splits into two oxygen atoms (O). (d) O(g) + N2(g) -> NO(g) + N(g) In this reaction, an oxygen atom (O) reacts with a nitrogen molecule (N2) to form a nitric oxide molecule (NO) and a nitrogen atom (N). Now, we will identify which reactions contribute to an increase in temperature in the stratosphere.
02

Identifying the reactions causing an increase in temperature

Following the analysis, we can conclude: (a) This reaction forms excited ozone (O3*) molecules, which are important for absorbing UV radiation. Thus, it contributes to an increase in temperature in the stratosphere. (b) This reaction involves the transfer of energy from an excited ozone molecule (O3*) to another molecule (M). As a result, the excess energy is dispersed to other molecules, increasing the temperature. Thus, this reaction also contributes to an increase in temperature. (c) In this reaction, an oxygen molecule (O2) absorbs ultraviolet radiation and dissociates into oxygen atoms. While this reaction is crucial for the ozone formation cycle, it does not directly contribute to an increase in temperature, since energy is used to dissociate the molecule rather than being converted to heat. (d) This reaction does not contribute directly to the formation of ozone or involve the absorption of UV radiation. Therefore, it does not contribute to an increase in temperature in the stratosphere.
03

Final Answer

Based on our analysis, reactions (a) and (b) are responsible for causing an increase in temperature in the stratosphere. Thus, the answer to this question is (e) All of the above, considering that there are only two reactions in this particular case, and both contribute to the heating of the stratosphere.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Stratospheric Reactions

Understanding how certain reactions in the stratosphere contribute to temperature changes is crucial for grasping the complex dynamics of Earth's atmosphere. The stratosphere, situated above the troposphere and below the mesosphere, is known for its temperature inversion, where temperature increases with altitude due to the absorption of ultraviolet (UV) radiation by ozone. This is counterintuitive compared to the troposphere, where temperature typically decreases with altitude.

  • When oxygen atoms combine with oxygen molecules, ozone is generated, and this reaction releases energy, thereby warming the surrounding air.
  • The decomposition of ozone by UV light though does not warm the stratosphere meaningfully, as most energy goes into breaking the ozone apart.

Overall, it's the formation and de-excitation of ozone that predominantly contribute to the heating of the stratosphere.

Excited Ozone Molecule

An 'excited' ozone molecule, often denoted as O3*, is an ozone molecule that has absorbed energy but has not yet released it. This excitement is due to the absorption of energy from various reactions in the stratosphere, including the collision between an oxygen atom and an oxygen molecule.

  • When an excited ozone molecule returns to its non-excited state, it releases energy in the form of heat, contributing to the increased temperature in the stratosphere.
  • The presence of other molecules (M), typically nitrogen or oxygen, helps in transferring this energy, stabilizing the excited ozone molecule into a non-excited state.

Recognizing how these molecules release stored energy as heat helps us understand the thermal dynamics within the stratospheric layer.

UV Radiation Absorption

In the stratosphere, UV radiation plays a pivotal role in both temperature regulation and chemical reactions. Absorption of UV radiation happens primarily through ozone molecules, which act as Earth's natural sunscreen, blocking harmful UV rays from reaching the ground level. Here's how the absorption impacts the stratosphere:

  • Ozone molecules absorb UV radiation energy and break down into constituent oxygen atoms and molecules — a process that does not directly heat the stratosphere.
  • However, the formation of ozone from oxygen atoms and molecules (which may have been generated from previous ozone decomposition) releases heat, contributing to the warming of the atmosphere.

This sequence of absorption and release of energy through various reactions keeps the stratosphere warmer than the layers below it.

Ozone Formation Cycle

The ozone formation cycle is a key player in the stratospheric temperature profile. It is a sequence of reactions that lead to the creation and destruction of ozone, which is central to the heat dynamics in the stratosphere.

  • Oxygen molecules are split by UV light into individual oxygen atoms.
  • These atoms then react with oxygen molecules to form ozone, which is often in an excited state and releases energy as it stabilizes.
  • While the initial breaking apart of ozone by UV does not increase temperature, the subsequent recombination into ozone is exothermic and warms the surrounding air.

This cyclical nature of ozone transformation leads to the fluctuation of temperature and stability within the stratosphere's thermal structure.

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Most popular questions from this chapter

As of the writing of this text, EPA standards limit atmospheric ozone levels in urban environments to 84 ppb. How many moles of ozone would there be in the air above Los Angeles County (area about 4000 square miles; consider a height of 100 \(\mathrm{m}\) above the ground) if ozone was at this concentration?

It was estimated that the eruption of the Mount Pinatubo volcano resulted in the injection of 20 million metric tons of \(S O_{2}\) into the atmosphere. Most of this \(S O_{2}\) underwent oxidation to \(S O_{3},\) which reacts with atmospheric water to form an aerosol. (a) Write chemical equations for the processes leading to formation of the aerosol. (b) The aerosols caused a \(0.5-0.6^{\circ} \mathrm{C}\) drop in surface temperature in the northern hemisphere. What is the mechanism by which this occurs? (c) The sulfate aerosols, as they are called, also cause loss of ozone from the stratosphere. How might this occur?

In 1986 an electrical power plant in Taylorsville, Georgia, burned \(8,376,726\) tons of coal, a national record at that time. (a) Assuming that the coal was 83\(\%\) carbon and 2.5\(\%\) sulfur and that combustion was complete, calculate the number of tons of carbon dioxide and sulfur dioxide produced by the plant during the year. (b) If 55\(\%\) of the SO \(_{2}\) could be removed by reaction with powdered CaO to form \(\mathrm{CaSO}_{3},\) how many tons of \(\mathrm{CaSO}_{3}\) would be produced?

The rate of solar energy striking Earth averages 168 watts per square meter. The rate of energy radiated from Earth's surface averages 390 watts per square meter. Comparing these numbers, one might expect that the planet would cool quickly, yet it does not. Why not?

Explain, using Le Chatelier's principle, why the equilibrium constant for the formation of NO from \(\mathrm{N}_{2}\) and \(\mathrm{O}_{2}\) increases with increasing temperature, whereas the equilibrium constant for the formation of \(\mathrm{NO}_{2}\) from \(\mathrm{NO}\) and \(\mathrm{O}_{2}\) decreases with increasing temperature.

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