Waec Model Questions Vol1 2022 Physics Question 8

A solid metal rod 0.50 m long and of mass 2.00 kg is heated uniformly to 150 °C and then placed with one end immersed in a large water bath at 20 °C. The other end of the rod is perfectly insulated. The water bath contains 10.0 kg of water (specific heat capacity 4186 J kg⁻¹ K⁻¹) and its temperature rises to 22 °C after 10 minutes. Assume that no heat is lost to the surroundings and that the heat transferred from the rod to the water is uniform during the 10‑minute interval. Answer the following: a) Determine the specific heat capacity of the metal rod. b) Calculate the average rate of heat transfer from the rod to the water (in joules per second) and express it per metre of rod length. c) If the rod were made of copper (c = 385 J kg⁻¹ K⁻¹) and subjected to the same experimental conditions, what would be its final temperature after 10 minutes, assuming the same amount of heat is transferred to the water as in part (b)?