A) i-I, ii-5000 kJ/ kg
B) i-II, ii-8000 kJ/ kg
C) i-II, ii-6000 kJ/ kg
D) i-IV, ii-8000 kJ/ kg
Correct Answer: B
Solution :
The calorific value of fuel is the amount of heat energy produced by complete combustion of 1 kg of fuel. For fuel I: 1.2 kg of I produces 7200 kJ of heat on complete combustion. 1 kg of I will produce\[\frac{7200}{1.2}\]kJ of heat. \[=6000\text{ }kJ\]of heat Hence, the calorific value of I is 6000 kJ/kg. For fuel II: 4 kg of II produces 32000 kJ of heat on complete combustion. 1 kg of II will produce\[\frac{32000}{4.0}\]kJ of heat. \[=8000\text{ }kJ\]of heat Hence, the calorific value of II is 8 000 kJ/kg. For fuel III: 3.2 kg of III produces 12800 kJ of heat on complete combustion. 1 kg of III will produce\[\frac{32000}{4.0}\]kJ of heat. \[=4000\text{ }kJ\]of heat Hence, the calorific value of II is 4000 kJ/ kg. For fuel IV: 2.4 kg of IV produces 16800 kJ of heat on complete combustion. 1 kg of IV will produce\[\frac{16800}{2.4}\]of heat. \[=7000\text{ }kJ\]of heat Hence, the calorific value of III is 7 000 kJ/kg. The higher the calorific value of fuel, the more will be its efficiency. Here, the calorific value of fuel II is the highest (8000 kJ/kJ). Therefore, amongst the fuels that Ravi collected, II is the most efficient fuel. The correct answer is B.
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