First slide

Conduction

Question

A room at $20^{0} C$ C is heated by a heater of resistance 20 ohms connected to 200 V mains. The temperature is uniform throughout the room and heat is transmitted through a glass window of area $1 m^{2}$ and thickness 0.2 cm. Calculate the temperature outside [K for glass is 0.2 cal/ $m /^{0} C$ and J = 4.2 J/cal]

Moderate

A

$1 . 524^{0} C$
B

$15 . 24^{0} C$
C

$20^{0} C$
D

$26 . 8^{0} C$

Solution

$\frac{Q}{t} = \frac{K A (θ_{1} - θ_{2})}{x} \frac{v^{2}}{R} = \frac{K A (θ_{1} - θ_{2})}{x} h e r e K = 0.2 x 4.2 A = 1 m^{2} θ_{1} = 20 x = 2 x 10^{- 3} v = 200 a n d R = 20$

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