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Question

A producer has 5000 J of energy. If only 10% of energy is transferred between trophic levels, how much energy will be available to the secondary consumer?

The correct answer is
50 J

Energy Transfer Explained

In an ecosystem, energy flows from one trophic level to the next. A trophic level refers to the position an organism occupies in a food chain.

  • Producers: Organisms that produce their own food, usually through photosynthesis (like plants).
  • Primary Consumers: Herbivores that eat producers.
  • Secondary Consumers: Carnivores or omnivores that eat primary consumers.
  • Tertiary Consumers: Carnivores or omnivores that eat secondary consumers.

A fundamental concept in ecology is the 10% rule, which states that only about 10% of the energy from one trophic level is transferred to the next. The remaining energy is lost as heat, used for metabolic processes, or remains unconsumed.

Calculating Secondary Consumer Energy

We are given:

  • Energy available at the producer level = 5000 J
  • Energy transfer efficiency between trophic levels = 10%

To find the energy available to the secondary consumer, we first need to calculate the energy available to the primary consumer.

Step 1: Energy for Primary Consumer

The primary consumers feed on producers. According to the 10% rule:

Energy for Primary Consumer = 10% of Producer Energy

Using LaTeX notation:

$ \text{Energy}_{\text{Primary}} = 10\% \times \text{Energy}_{\text{Producer}} $

$ \text{Energy}_{\text{Primary}} = \frac{10}{100} \times 5000 \text{ J} $

$ \text{Energy}_{\text{Primary}} = 0.10 \times 5000 \text{ J} $

$ \text{Energy}_{\text{Primary}} = 500 \text{ J} $

Step 2: Energy for Secondary Consumer

The secondary consumers feed on primary consumers. Applying the 10% rule again:

Energy for Secondary Consumer = 10% of Primary Consumer Energy

Using LaTeX notation:

$ \text{Energy}_{\text{Secondary}} = 10\% \times \text{Energy}_{\text{Primary}} $

$ \text{Energy}_{\text{Secondary}} = \frac{10}{100} \times 500 \text{ J} $

$ \text{Energy}_{\text{Secondary}} = 0.10 \times 500 \text{ J} $

$ \text{Energy}_{\text{Secondary}} = 50 \text{ J} $

Summary Table

Trophic Level Available Energy (J)
Producer 5000
Primary Consumer 500 (10% of Producer)
Secondary Consumer 50 (10% of Primary Consumer)

Therefore, 50 Joules of energy will be available to the secondary consumer.

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Important Questions from Miscellaneous

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