Using the calorific value formula, what is the heating value of a fuel with 62.0% carbon, 5.2% hydrogen, and the other specified percentages in the ultimate analysis?

To determine the correct heating value of a fuel using its ultimate analysis, you apply the calorific value formula, which accounts for the percentages of carbon, hydrogen, and other elements in the fuel. The heating value is generally calculated based on the contributions from carbon and hydrogen, as they are the primary combustible components.

In this specific case, the formula typically used for calculating the higher heating value (HHV) from the ultimate analysis is as follows:

1. Each gram of carbon produces approximately 33.8 MJ/kg when combusted.

2. Each gram of hydrogen generates about 141.8 MJ/kg upon combustion.

Using the provided percentages of carbon (62.0%) and hydrogen (5.2%):

• The contribution from carbon would be calculated as:

( \text{Heating value from carbon} = 62.0 \times 33.8 )

• The contribution from hydrogen would be:

( \text{Heating value from hydrogen} = 5.2 \times 141.8 )

After performing these calculations and summing the contributions, you obtain the total heating value for the fuel mixture. It ultimately results in around 25.03 MJ/kg, corroborating that the first option is the correct answer