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Question

An agricultural land can support energy crops yield to produce 7000 L of bioethanol per hectare and energy content of bioethanol is 21 MJ/L. This bioethanol displaces fossil-based petrol.
The CO$_2$ offset potential of land used for growing energy crops as a bioethanol feedstock is ______ $\times 10^6$ g of CO$_2$ /hectare (rounded off to one decimal place).
Consider CO$_2$ footprints of 10 g and 80 g of CO$_2$ per MJ for bioethanol and petrol, respectively.

Calculating CO$_2$ Offset Potential for Bioethanol

This calculation determines the CO$_2$ offset potential per hectare by comparing the carbon footprint of producing bioethanol with the footprint of the fossil-based petrol it displaces.

Step 1: Calculate Total Energy Produced Per Hectare

First, find the total energy yield from bioethanol grown on one hectare.

  • Energy Content: 21 MJ/L
  • Yield: 7000 L/hectare
  • Total Energy = Energy Content $\times$ Yield
  • Total Energy = 21 MJ/L $\times$ 7000 L/hectare = 147000 MJ/hectare

Step 2: Calculate CO$_2$ Footprint of Bioethanol Production

Next, calculate the CO$_2$ emitted during the production of this bioethanol.

  • CO$_2$ Footprint of Bioethanol: 10 g CO$_2$/MJ
  • Total Bioethanol CO$_2$ Footprint = Total Energy $\times$ CO$_2$ Footprint of Bioethanol
  • Total Bioethanol CO$_2$ Footprint = 147000 MJ/hectare $\times$ 10 g CO$_2$/MJ = 1470000 g CO$_2$/hectare

Step 3: Calculate CO$_2$ Footprint of Displaced Petrol

Determine the CO$_2$ emissions that would have occurred if the equivalent energy was derived from petrol.

  • CO$_2$ Footprint of Petrol: 80 g CO$_2$/MJ
  • Total Petrol CO$_2$ Footprint = Total Energy $\times$ CO$_2$ Footprint of Petrol
  • Total Petrol CO$_2$ Footprint = 147000 MJ/hectare $\times$ 80 g CO$_2$/MJ = 11760000 g CO$_2$/hectare

Step 4: Determine Net CO$_2$ Offset Potential

The offset potential is the difference between the CO$_2$ emissions avoided (from petrol) and the CO$_2$ emitted (from bioethanol production).

  • CO$_2$ Offset Potential = Total Petrol CO$_2$ Footprint - Total Bioethanol CO$_2$ Footprint
  • CO$_2$ Offset Potential = 11760000 g CO$_2$/hectare - 1470000 g CO$_2$/hectare
  • CO$_2$ Offset Potential = 10290000 g CO$_2$/hectare

Step 5: Format the Final Answer

Convert the result to the required format ($\text{______} \times 10^6$ g CO$_2$ / hectare) and round to one decimal place.

  • 10290000 g CO$_2$/hectare = 10.29 $\times 10^6$ g CO$_2$/hectare
  • Rounded to one decimal place: 10.3 $\times 10^6$ g CO$_2$/hectare

The CO$_2$ offset potential is 10.3 $\times 10^6$ g of CO$_2$ /hectare.

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