The best answer to the question of how soil formation would differ between a temperate deciduous forest and a tropical rainforest, considering the conditions of soil formation, would be option C: "The increased precipitation in the tropical rainforest would weather parent material at a faster rate but it would also erode faster."
Here's why:
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Temperature and Precipitation: Tropical rainforests experience higher temperatures and significantly more rainfall compared to temperate deciduous forests. This combination accelerates the weathering process of parent material due to chemical weathering, which is enhanced by heat and moisture.
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Erosion Rates: While the rapid weathering occurs, the high rainfall can also lead to increased erosion rates in the tropical rainforest. This is because the abundant rainfall can wash away the soil more easily, especially if it's not well anchored by plant roots.
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Biological Activity: While it's true that biological activity can be high in both biomes, the sheer volume of vegetation and microorganisms in a tropical rainforest leads to rapid decomposition and nutrient cycling; however, it ultimately does not mitigate the faster weathering and erosion processes compared to temperate forests.
In summary, option C accurately captures the interaction of climatic conditions and soil formation processes in these distinct biomes.