A high-end gas stove usually has at least one burner rated at 14,000 Btu/h. (a)

Question

A high-end gas stove usually has at least one burner rated at 14,000 Btu/h.
(a) If you place a 0.35-kg aluminum pot containing 1.8 liters of water at 20°C on this burner, how long will it take to bring the water to a boil, assuming all the heat from the burner goes into the pot? (Use 900 J/kg · °C for the specific heat of aluminum and 2.26 106 J/kg for the latent heat of vaporization for water.)
_____ min

(b) Once boiling begins, how much time is required to boil all the water out of the pot?
______ min

Explanation / Answer

Q1 = .22 * 350* 80 + 1800 * 80 = 1.5 * 10E5cal (using .22 cal/(gm deg C) for specific heat of Al
Q2 = 1800 * 540 = 0.972 * 10E6cal to boil all of water out of pot
Since 1 Btu = 252 cal
Q1 = 1.5 * 10E5 / 252 = 595.23 Btu
Q2 = 3857 Btu
14000 Btu / hr / 3600 sec /hr = 3.89 Btu /sec

T1 = 595/ 3.89 = 281 sec = 2.55 min
T2 = 3857 / 3.89 = 1880 sec = 16.52 min

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