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Chemistry: Environmental Systems - Carbon, Nitrogen, Water, and Nutrient Cycles

Grade 8IB

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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The Water Cycle describes the continuous movement of water on, above, and below the surface of the Earth. Key processes include evaporation (H2O(l)→H2O(g)H_2O(l) \rightarrow H_2O(g)), condensation (H2O(g)→H2O(l)H_2O(g) \rightarrow H_2O(l)), and precipitation.

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The Carbon Cycle involves the exchange of carbon between the atmosphere, biosphere, oceans, and geosphere. Major processes include photosynthesis, which removes CO2CO_2, and cellular respiration/combustion, which release CO2CO_2.

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Photosynthesis is the process by which autotrophs convert light energy into chemical energy: 6CO2+6H2O+light energy→C6H12O6+6O26CO_2 + 6H_2O + \text{light energy} \rightarrow C_6H_{12}O_6 + 6O_2.

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Cellular Respiration is the chemical process that releases energy from glucose: C6H12O6+6O2→6CO2+6H2O+ATP (energy)C_6H_{12}O_6 + 6O_2 \rightarrow 6CO_2 + 6H_2O + \text{ATP (energy)}.

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The Nitrogen Cycle converts atmospheric nitrogen (N2N_2), which is unusable by most organisms, into ammonia (NH3NH_3), nitrites (NO2−NO_2^-), and nitrates (NO3−NO_3^-) through processes like nitrogen fixation and nitrification.

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Nitrogen Fixation occurs via bacteria in soil or legume root nodules, or through lightning: N2+8H++8e−→2NH3+H2N_2 + 8H^+ + 8e^- \rightarrow 2NH_3 + H_2.

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Decomposition is a critical stage in nutrient cycles where decomposers (fungi/bacteria) break down organic matter, returning CC, NN, and PP to the soil.

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The Law of Conservation of Mass states that matter is neither created nor destroyed in these cycles, only transformed into different chemical states.

📐Formulae

6CO2+6H2O→lightC6H12O6+6O26CO_2 + 6H_2O \xrightarrow{\text{light}} C_6H_{12}O_6 + 6O_2

C6H12O6+6O2→6CO2+6H2O+energyC_6H_{12}O_6 + 6O_2 \rightarrow 6CO_2 + 6H_2O + \text{energy}

CH4+2O2→CO2+2H2O+heatCH_4 + 2O_2 \rightarrow CO_2 + 2H_2O + \text{heat}

NH4+→NO2−→NO3−NH_4^+ \rightarrow NO_2^- \rightarrow NO_3^-

N2 (atmospheric)→fixationNH3/NH4+ (ammonium)N_2 \text{ (atmospheric)} \xrightarrow{\text{fixation}} NH_3 / NH_4^+ \text{ (ammonium)}

💡Examples

Problem 1:

During the combustion of a simple hydrocarbon like methane (CH4CH_4) in a forest fire (part of the carbon cycle), how many moles of O2O_2 are required to react with 11 mole of CH4CH_4 to produce CO2CO_2 and H2OH_2O?

Solution:

22 moles of O2O_2

Explanation:

According to the balanced chemical equation for combustion: CH4+2O2→CO2+2H2OCH_4 + 2O_2 \rightarrow CO_2 + 2H_2O The stoichiometric coefficient for O2O_2 is 22, meaning 22 moles of oxygen gas are needed for every 11 mole of methane.

Problem 2:

A farmer notices that adding clover (a legume) to a field increases the concentration of nitrates (NO3−NO_3^-) in the soil. If the starting concentration was 15 mg/kg15\text{ mg/kg} and it increases by 120%120\%, what is the final concentration?

Solution:

33 mg/kg33\text{ mg/kg}

Explanation:

The increase is calculated as 15×1.20=18 mg/kg15 \times 1.20 = 18\text{ mg/kg}. The final concentration is the original plus the increase: 15+18=33 mg/kg15 + 18 = 33\text{ mg/kg}.

Problem 3:

In the nitrogen cycle, identify the oxidation state change when ammonium (NH4+NH_4^+) is converted to nitrite (NO2−NO_2^-) during nitrification.

Solution:

From −3-3 to +3+3

Explanation:

In NH4+NH_4^+, HH is +1+1, so N+4(1)=+1⇒N=−3N + 4(1) = +1 \Rightarrow N = -3. In NO2−NO_2^-, OO is −2-2, so N+2(−2)=−1⇒N=+3N + 2(-2) = -1 \Rightarrow N = +3. This is an oxidation process.