The surface temperature of a swimming pool on a warm day is 25°C and the...
PHYSICS
JAMB 2023
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]
- A. 2.5kw
- B. 250kw
- C. 300kw
- D. 3.0kw
Correct Answer: A. 2.5kw
Explanation
L=1.5m, A=\(620m^2\), ø=25-15=10°c
K=0.6071 , \(Wm^-1k^-1\) , \(\frac{q}{t}\) =?
\(\frac{q}{t}\) =KA, \(\frac{?t}{L}\)
where k is the thermal conductivity constant and \(\frac{q}{t}\) is the rate of heat transfer
=\(\frac{q}{t}\)=0.6071×620×\(\frac{10}{1.5}\)
\(\frac{q}{t}\) = 2509.35w ≈ 2.5kw
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