Moderate

How many grams of butane must be burnt to heat 10 kg of water from 30°C to 100°C? (Heat of combustion of butane is −700 kcal/mol and specific heat of water is 1 cal g⁻¹ K⁻¹).

Correct answer: A. 58 gm

  • A. 58 gm
  • B. 56 g
  • C. 54 g
  • D. 52 g

Explanation

First, calculate the heat required to warm the water: Q = mcΔT = (10,000 g)(1 cal/g°C)(70°C) = 700,000 cal = 700 kcal. Since the combustion provides 700 kcal/mol, exactly 1 mole of butane is needed. The mass of 1 mole of butane (C₄H₁₀) is 58 g.

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