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humans use a synthetic chemical process to convert n₂ gas into no₃ and no₂.
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plant matter in the soil is fossilized, becoming underground coal.
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minerals in rocks are dissolved by flowing water or rain.
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a plant absorbs ammonia, nitrates, or phosphates through its roots.
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carbon dioxide in the atmosphere dissolves in ocean water as a result of winds and waves.
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water percolates through the soil.
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1. Humans use a synthetic chemical process to convert $\boldsymbol{\ce{N2}}$ gas into $\boldsymbol{\ce{NO3^-}}$ and $\boldsymbol{\ce{NO2^-}}$.
This process is called industrial nitrogen fixation (specifically the Haber - Bosch process for ammonia production, and subsequent oxidation for nitrates/nitrites). Humans artificially convert atmospheric nitrogen ($\ce{N2}$) into reactive nitrogen compounds like nitrates and nitrites, which is industrial nitrogen fixation.
The process of plant matter being buried, subjected to heat and pressure over long periods, and transforming into coal is part of the carbon cycle (specifically the long - term carbon cycle involving fossil fuel formation). It's also related to the process of fossilization of organic matter, but in the context of biogeochemical cycles, it's a key part of the carbon cycle.
This process is weathering (specifically chemical weathering, as water dissolves mineral components of rocks). Chemical weathering involves the breakdown of rocks through chemical reactions, and dissolution by water is a major chemical weathering process.
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Industrial Nitrogen Fixation