Question

The heat produced by the complete combustion of 2.5 kg of a fuel is 1,50,000 kJ. The calorific value of the fuel is?

a) 60,000 kJ/kg
b) 40,000 kJ/kg
c) 30,000 kJ/kg
d) 25,000 kJ/kg

Answer 1

To find the calorific value of the fuel, divide the total heat produced by the mass of fuel burnt. A total heat of 150,000 kJ produced by burning 2.5 kg of fuel results in a calorific value of 60,000 kJ/kg. Option (a) is the correct answer.

Step-by-step explanation:

The question asks to determine the calorific value of a fuel given that the complete combustion of 2.5 kg of the fuel produces 150,000 kJ of heat. The calorific value is defined as the amount of heat energy produced on complete combustion of 1 kg of fuel. Therefore, to find the calorific value, we divide the total amount of heat produced by the total mass of the fuel burnt.

To calculate the calorific value:

1. Use the formula Calorific Value (kJ/kg) = Total Heat Produced (kJ) / Mass of Fuel (kg).
2. Substitute the known values into the formula: 150,000 kJ / 2.5 kg.
3. Perform the division to find the calorific value: 150,000 kJ / 2.5 kg = 60,000 kJ/kg.

Thus, the calorific value of the fuel is 60,000 kJ/kg, which corresponds to option (a).