Math Problem Statement

The equation for calculating the project emissions ( PE_y ) is given as:

[ PE_y = \sum_{j,x} FC_{j,x,y} \times NCV_j \times EF_{\text{CO}_2,j} ]

Where:

  • ( PE_y ): Total project emissions in year ( y ) (tCO₂/year).
  • ( FC_{j,x,y} ): Consumption of fuel by vehicle ( j ) in year ( y ) (quantity of fuel).
  • ( NCV_j ): Net calorific value of fuel ( j ) (MJ/unit of fuel).
  • ( EF_{\text{CO}_2,j} ): CO₂ emission factor of fuel ( j ) (tCO₂/MJ).

Given:

  • ( NCV_j = 37 , \text{MJ/m}^3 )
  • ( EF_{\text{CO}_2,j} = 0.055 , \text{tCO}_2/\text{MJ} )

the value of ( FC_{j,x,y} ) is 142976m³

Solution

To calculate the project emissions PEyPE_y, we will substitute the given values into the provided formula:

PEy=j,xFCj,x,y×NCVj×EFCO2,jPE_y = \sum_{j,x} FC_{j,x,y} \times NCV_j \times EF_{\text{CO}_2,j}

Given values are:

  • FCj,x,y=142,976m3FC_{j,x,y} = 142,976 \, \text{m}^3
  • NCVj=37MJ/m3NCV_j = 37 \, \text{MJ/m}^3
  • EFCO2,j=0.055tCO2/MJEF_{\text{CO}_2,j} = 0.055 \, \text{tCO}_2/\text{MJ}

Substituting these into the formula:

PEy=142,976m3×37MJ/m3×0.055tCO2/MJPE_y = 142,976 \, \text{m}^3 \times 37 \, \text{MJ/m}^3 \times 0.055 \, \text{tCO}_2/\text{MJ}

Now, let's perform the calculation:

PEy=142,976×37×0.055PE_y = 142,976 \times 37 \times 0.055The total project emissions PEyPE_y are 290,956.16tCO2290,956.16 \, \text{tCO}_2 per year.

Do you want more details or have any questions about this calculation?

Here are some related questions to consider:

  1. How would the project emissions change if the net calorific value NCVjNCV_j increased?
  2. What impact does a change in the CO₂ emission factor EFCO2,jEF_{\text{CO}_2,j} have on the overall emissions?
  3. How does the emissions calculation change if there are multiple types of fuels (jj) used in the project?
  4. How can we reduce the project emissions based on this formula?
  5. What other greenhouse gases besides CO₂ might need to be considered in a comprehensive emissions analysis?

Tip: Always check the units of the input values to ensure they are consistent with the formula requirements!

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Math Problem Analysis

Mathematical Concepts

Summation
Multiplication of variables

Formulas

PE_y = \sum_{j,x} FC_{j,x,y} \times NCV_j \times EF_{\text{CO}_2,j}

Theorems

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Suitable Grade Level

Advanced