Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
The Water Cycle describes the continuous movement of water on, above, and below the surface of the Earth. Key processes include evaporation (), condensation (), and precipitation.
The Carbon Cycle involves the exchange of carbon between the atmosphere, biosphere, oceans, and geosphere. Major processes include photosynthesis, which removes , and cellular respiration/combustion, which release .
Photosynthesis is the process by which autotrophs convert light energy into chemical energy: .
Cellular Respiration is the chemical process that releases energy from glucose: .
The Nitrogen Cycle converts atmospheric nitrogen (), which is unusable by most organisms, into ammonia (), nitrites (), and nitrates () through processes like nitrogen fixation and nitrification.
Nitrogen Fixation occurs via bacteria in soil or legume root nodules, or through lightning: .
Decomposition is a critical stage in nutrient cycles where decomposers (fungi/bacteria) break down organic matter, returning , , and to the soil.
The Law of Conservation of Mass states that matter is neither created nor destroyed in these cycles, only transformed into different chemical states.
📐Formulae
💡Examples
Problem 1:
During the combustion of a simple hydrocarbon like methane () in a forest fire (part of the carbon cycle), how many moles of are required to react with mole of to produce and ?
Solution:
moles of
Explanation:
According to the balanced chemical equation for combustion: The stoichiometric coefficient for is , meaning moles of oxygen gas are needed for every mole of methane.
Problem 2:
A farmer notices that adding clover (a legume) to a field increases the concentration of nitrates () in the soil. If the starting concentration was and it increases by , what is the final concentration?
Solution:
Explanation:
The increase is calculated as . The final concentration is the original plus the increase: .
Problem 3:
In the nitrogen cycle, identify the oxidation state change when ammonium () is converted to nitrite () during nitrification.
Solution:
From to
Explanation:
In , is , so . In , is , so . This is an oxidation process.