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 \(m^2\) 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=\(620m^2\),  ø=25-15=10°c

K=0.6071 , \(Wm^{-1}k^{-1}\) ,  \(\frac{q}{t}\) =?

\(\frac{q}{t}\) =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