Study the given food chain represented by a flowchart: According to...

According to the $10\%$ law of energy transfer, only $10\%$ of the energy available at one trophic level is passed on to the next.

The given food chain can be categorized into the following trophic levels:
Grass (Producer) $\rightarrow$ Grasshopper (Primary Consumer) $\rightarrow$ Frog (Secondary Consumer) $\rightarrow$ Snake (Tertiary Consumer) $\rightarrow$ Hawk (Top Carnivore)

Given that the energy at the top carnivore level (Hawk) is $5 \text{ J}$.

Working backwards to find the energy at previous levels:
Energy at the Snake level $= 5 \text{ J} \times 10 = 50 \text{ J}$

Energy at the Frog level $= 50 \text{ J} \times 10 = 500 \text{ J}$

Energy at the Grasshopper (Primary Consumer) level $= 500 \text{ J} \times 10 = 5000 \text{ J}$

Thus, the amount of energy available at the primary consumer level is $5000 \text{ J}$.

Answer: $5,000 \text{ J}$