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Gasoline has an enthalpy of combustion 24000 kJ/ gallon. When gasoline burns in an automobile engine, approximately 30% of the energy released is used to produce mechanical work.

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Gasoline has an enthalpy of combustion 24000 kJ/ gallon. When gasoline burns in an automobile engine, approximately 30% of the energy released is used to produce mechanical work. The remainder is lost as heat transfer to the engine's cooling system. As a start on estimating how much heat transfer is required, calculate what mass of water could be heated from 25°C to 75°C by the combustion of 1.0 gallon of gasoline in an automobile?

(Given : C (H2O) = 4.18 J/g°C)

(a) 34.45 kg

(b) 80.383 kg

(c) 22 kg

(d) 224 kg

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Correct answer: (b) 80.383 kg

Explanation:

q = m x c x ΔT,

m = \frac{q}{c \times \Delta T}

= \frac{24 \times 10^6 \times 0.7}{4.18 \times 50}

= 80383 g or 80.383 kg

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