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A geyser heats water flowing at a rate of 2.0 kg per minute from 30°C to 70°C. If geyser operates on a gas burner, the rate of combustion of fuel will be ____________g min^–1
[Heat of combustion = 8 × 103 Jg^–1Specific heat of water = 4.2 Jg^–1 °C^–1]

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answer is 42.

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Detailed Solution

m = 2000 gm/min
Heat required by water/min = mS $∆$ T
= (2000) × 4.2 × 40 J/min
= 336000 J/min
The rate of combustion $= (\frac{dm}{dt} L) = 336000 J / \min$
$\frac{dm}{dt} = \frac{336000}{8 \times 10^{3}} g / \min$
= 42 gm/min

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