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 , we will substitute the given values into the provided formula:
Given values are:
Substituting these into the formula:
Now, let's perform the calculation:
The total project emissions are per year.
Do you want more details or have any questions about this calculation?
Here are some related questions to consider:
- How would the project emissions change if the net calorific value increased?
- What impact does a change in the CO₂ emission factor have on the overall emissions?
- How does the emissions calculation change if there are multiple types of fuels () used in the project?
- How can we reduce the project emissions based on this formula?
- 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
-
Suitable Grade Level
Advanced
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