The surface temperature of a swimming pool on a warm day is 25°C and the temperature at the bottom i
The surface temperature of a swimming pool on a warm day is 25°C and the temperature at the bottom is 15°C. If the swimming pool has a surface area of 620 m2 and a depth of 1.5m. Find the rate at which energy is transferred by conduction from the surface to the bottom of the swimming pool. [Thermal conductivity of water (k) = 0.6071 Wm-1K-1]
The formula for heat conduction rate is Q/t = kAΔT/d, where k is thermal conductivity, A is area, ΔT is temperature difference, and d is distance.
Plugging in values: Q/t = (0.6071 × 620 × 10) / 1.5 = 2,509 W, which equals approximately 2.5 kW.
The 10°C temperature difference drives heat flow from the warm surface to the cooler bottom. The large surface area means significant energy transfer occurs through conduction.
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