Gasoline has an enthalpy of combustion 24000 kJ/mol 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(H_(2)O)=4.18 J//g^(@)C`)
a) 34.45 kg
b) 80.383 kg
c) 22 kg
d) 224 kg

Options

A. 34.45 kg
B. 80.383 kg
C. 22 kg
D. 224 kg

Answer

B

Explanation

`q=mxxcxxDeltaT, m =q//(cxxDeltaT)`
`=(24 xx 10^(6)xx0.7)//(4.18xx50)`
`=80383 " g or "80.383 " kg"`