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JEE Main 2022 (26 Jun, Shift 2) · Calorimetry, Latent Heat & Mechanical Equivalent of Heat

Calorimetry, Latent Heat & Mechanical Equivalent of Heat question from JEE Main 2022 (26 Jun, Shift 2)

Q23JEE Main 2022 · 26 JUN · SHIFT 2Medium

Calorimetry, Latent Heat & Mechanical Equivalent of Heat

A geyser heats water flowing at a rate of 2.0 kg per minute from 30∘^{\circ}C to 70∘^{\circ} C. If geyser operates on a gas burner, the rate of combustion of fuel will be ___________ g min−^{-}1.

[Heat of combustion = 8 ×\times 103 Jg−^{-}1, Specific heat of water = 4.2 Jg−^{-}1 ∘C−^{\circ}\text{C}^{-}1]

Numerical answer type. Work it out, then open the answer.

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Answer: 42

  1. Heat per minute =2000×4.2×40=3.36×105 J/min= 2000 \times 4.2 \times 40 = 3.36 \times 10^5\text{ J/min}
  2. Fuel rate =3.36×1058×103=42 g min−1= \dfrac{3.36 \times 10^5}{8 \times 10^3} = 42\text{ g min}^{-1}
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