First slide

Conduction

Question

1 cm thick layer of ice is formed on a lake. Temperature of air is $- 10^{0} C .$ Coefficient of heat conduction of ice is $4 \times 10^{- 4} k c a l m^{- 1} s^{- 1},$ density of ice = $9 \times 10^{3} k g / m^{3}$ and Latent heat of ice = 80 k cal / kg. Then the rate of conduction of heat through unit area of ice layer is

Moderate

A

$0.4 k c a l / m^{2} - s$
B

$0.6 k c a l / m^{2} - s$
C

$1.2 k c a l / m^{2} - s$
D

$0.8 k c a l / m^{2} - s$

Solution

(1)
Rate of heat conduction through unit area
$\begin{array}{l} = k . \frac{Δ θ}{x} = 4 \times 10^{- 4} \times \frac{[0 - (- 10)]}{10^{- 2}} k c a l / m^{2} - s \\ = 0.4 k c a l / m^{2} - s \end{array}$

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