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The total amount of heat produced by a fuel having a calorific value of 20 kJ kg 1 was found to be 50,000 joules. How much fuel was burnt?
- a)2500 kg
- b)250 kg
- c)25 kg
- d)2.5 kg
Correct answer is option 'D'. Can you explain this answer?
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The total amount of heat produced by a fuel having a calorific value o...
1 kg of fuel when burnt gives 20,000 joules of heat energy. 50,000 joules of heat energy will be produced by 2.5 kg of fuel as given below. 1 kg fuel produces 20kJkg−1 heat ? fuel produces 50kJkg−1 heat 
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The total amount of heat produced by a fuel having a calorific value o...
Given:
Calorific value of fuel = 20 kJ/kg
Total heat produced = 50,000 J
To find:
Amount of fuel burned
Solution:
The calorific value of a fuel is the amount of heat energy produced when a unit mass of fuel is burned completely. It is expressed in units of energy per unit mass (kJ/kg in this case).
To find the amount of fuel burned, we can use the formula:
Amount of fuel burned = Total heat produced / Calorific value of fuel
Substituting the given values:
Amount of fuel burned = 50,000 J / 20 kJ/kg
To simplify the calculation, we need to convert the units of the total heat produced to kJ:
50,000 J = 50 kJ
Amount of fuel burned = 50 kJ / 20 kJ/kg
Cancelling the units:
The unit "kJ" in the numerator cancels out with the unit "kJ" in the denominator, leaving us with the unit "kg" for the amount of fuel burned.
Amount of fuel burned = 50/20 kg
Simplifying the division:
Amount of fuel burned = 2.5 kg
Therefore, the correct answer is option D) 2.5 kg.
Calorific value of fuel = 20 kJ/kg
Total heat produced = 50,000 J
To find:
Amount of fuel burned
Solution:
The calorific value of a fuel is the amount of heat energy produced when a unit mass of fuel is burned completely. It is expressed in units of energy per unit mass (kJ/kg in this case).
To find the amount of fuel burned, we can use the formula:
Amount of fuel burned = Total heat produced / Calorific value of fuel
Substituting the given values:
Amount of fuel burned = 50,000 J / 20 kJ/kg
To simplify the calculation, we need to convert the units of the total heat produced to kJ:
50,000 J = 50 kJ
Amount of fuel burned = 50 kJ / 20 kJ/kg
Cancelling the units:
The unit "kJ" in the numerator cancels out with the unit "kJ" in the denominator, leaving us with the unit "kg" for the amount of fuel burned.
Amount of fuel burned = 50/20 kg
Simplifying the division:
Amount of fuel burned = 2.5 kg
Therefore, the correct answer is option D) 2.5 kg.
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The total amount of heat produced by a fuel having a calorific value of 20 kJ kg 1 was found to be 50,000 joules. How much fuel was burnt?a)2500 kgb)250 kgc)25 kgd)2.5 kgCorrect answer is option 'D'. Can you explain this answer?
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