2 kg of a coal sample was burnt in a bomb calorimeter. The heat liberated was estimated and found to be 14114 kcal. Calculate the calorific value of the coal sample.a.14114 kcal /kgb.7057 kcal/kgc.7057 cal/gd.14114 cal /g
Question
2 kg of a coal sample was burnt in a bomb calorimeter. The heat liberated was estimated and found to be 14114 kcal. Calculate the calorific value of the coal sample.a.14114 kcal /kgb.7057 kcal/kgc.7057 cal/gd.14114 cal /g
Solution
The calorific value of a fuel is the amount of heat energy produced on complete combustion of a given mass of fuel. It is usually expressed in kilocalories per kilogram (kcal/kg) or calories per gram (cal/g).
Given: Mass of coal sample = 2 kg Heat liberated = 14114 kcal
We need to find the calorific value of the coal sample, which is the amount of heat energy produced per kilogram of coal.
Step 1: Calculate the calorific value in kcal/kg Calorific value (kcal/kg) = Heat liberated (kcal) / Mass of coal sample (kg) = 14114 kcal / 2 kg = 7057 kcal/kg
So, the calorific value of the coal sample is 7057 kcal/kg, which corresponds to option b.
Step 2: Convert the calorific value to cal/g 1 kcal = 1000 cal 1 kg = 1000 g
So, 7057 kcal/kg = 7057 * 1000 cal / 1000 g = 7057 cal/g
So, the calorific value of the coal sample is also 7057 cal/g, which corresponds to option c.
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