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JEE Main 2022 · 26 Jun · Shift 2, Physics question 54

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^{-1}

[Heat of combustion =8×103=8\times10^3 J g−1^{-1}, Specific heat of water =4.2=4.2 J g−1^{-1} °C−1^{-1}]

Answer and worked solution

Official answer: 42

Heat per minute. 2000×4.2×40=3.36×1052000\times4.2\times40=3.36\times10^5 J.

Fuel. 3.36×1058×103=42\dfrac{3.36\times10^5}{8\times10^3}=42 g min−1^{-1}.

Answer: 42

Topics:Calorimetry and specific heat
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