A continuous flow water heater (geyser) has an electrical power rating of 2kW and efficiency of conversion of electrical power into heat is 80% If water is flowing through device at the constant rate of 100cc/s and the inlet temperature is 100C,the outlet temperature will be (assume density remains constant)

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12.2∘C

13.8∘C

20∘C

30∘C

answer is B.

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Detailed Solution

Power P=dQdt⇒P=msdθdt(∵dQ=msdθ)⇒80100×P=dVdt×ρ×s×dθ⇒80100×2000=100×10−6×103×4200×(θ−10)⇒θ−10=3.8∴θ=13.8∘C

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