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In a bomb calorimeter 0.8 g of fuel raises the temperature of a water equivalent of 2500 g by 2.6 degrees. The gross calorific value is

  • A.812.5 kcal/kg
  • B.3250 kcal/kg
  • C.6500 kcal/kg
  • D.8125 kcal/kg

Answer: D

Correct answer: 8125 kcal/kg

The heat released equals the water equivalent times the temperature rise, and the calorific value is that heat per unit mass of fuel: \[ \frac{2500 \times 2.6}{0.8} = \frac{6500}{0.8} = 8125\ \text{kcal/kg.} \] Note the units - the water equivalent is in grams and the fuel in grams, so the quotient is kcal per gram only if the 2500 is read as cal/°C; taken as given the answer comes out directly in kcal/kg. The distractor 6500 omits the division by the fuel mass.

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