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The surface temperature of a swimming pool on a warm day ...

The surface temperature of a swimming pool on a warm day is 25ºC and the temperature at the bottom is 15ºC. 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 is A

L=1.5m,  A=620m2,  ø=25-15=10°c

K=0.6071 , Wm1k1qt =?

qt =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