Question

An aluminum plate 10 × 10 × 1 cm thick separates a heat source at 300oC from a bath containing 1 liter of water at 25C. Calculate (a) the heat transferred to the water each second and (b) the time required to warm the water to 26C. The thermal conductivity of Al is 238 W/m⋅K over this temperature range.

Answer 1

Answer:- a) The expression for the rate of heat transfer is-

Here length is the thickness i.e. 1 cm = 0.01 m. Keeping all the values, we get-

Answer:- b) To raise the water temperature by 1 ⁰C, we need 4182 Joule of energy. So the time needed is-