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If the type of coal used has 40 % carbon content, the annual CO2 emissions is 6.5 tonnes 3.2 tonnes 2.4 tonnes 10.8 tonnes

Question

If the type of coal used has 40% carbon content, the annual CO2 emissions are:

  • 6.5 tonnes
  • 3.2 tonnes
  • 2.4 tonnes
  • 10.8 tonnes
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Solution

To analyze the problem of CO2 emissions from coal with a 40% carbon content, we can break this down into a structured approach to understand the data better.

1. Break Down the Problem

We need to assess the annual CO2 emissions listed (6.5 tonnes, 3.2 tonnes, 2.4 tonnes, and 10.8 tonnes) and relate them to the carbon content of the coal. Since coal has 40% carbon content, we will evaluate how much CO2 can be produced from a certain amount of carbon.

2. Relevant Concepts

To find out how the carbon content translates to CO2 emissions, we use the following concepts:

  • The chemical reaction for combustion of carbon is: C+O2CO2 C + O_2 \rightarrow CO_2
  • The molecular weight:
    • Carbon (C) = 12 g/mol
    • Oxygen (O) = 16 g/mol
    • Therefore, CO2 = 12 + (2 \times 16) = 44 g/mol
  • From the above, 1 tonne (1,000 kg) of carbon produces a specific amount of CO2: CO2 produced from 1 tonne of carbon=4412=3.667 tonnes of CO2 \text{CO2 produced from 1 tonne of carbon} = \frac{44}{12} = 3.667 \text{ tonnes of CO2}

3. Analysis and Detail

With a coal carbon content of 40%, we can say that every 1 tonne of coal contains 0.4 tonnes of carbon, which would produce: CO2 from 0.4 tonnes of carbon=0.4×3.667=1.467 tonnes of CO2 \text{CO2 from 0.4 tonnes of carbon} = 0.4 \times 3.667 = 1.467 \text{ tonnes of CO2}

4. Verify and Summarize

Now we would summarize the emissions indicated:

  • 6.5 tonnes CO2
  • 3.2 tonnes CO2
  • 2.4 tonnes CO2
  • 10.8 tonnes CO2

Each value can be compared to the calculated potential CO2 production per tonne of coal (1.467 tonnes of CO2). We will need additional information about the total amount of coal burned to relate these figures directly to the carbon content.

Final Answer

The CO2 emissions from the listed amounts represent significant contributions to environmental pollution, and understanding how much carbon is present in the coal used will help in moderating the carbon footprint effectively.

This problem has been solved

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