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

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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