Question

Opposite faces of a metal plate of 0.2 cm thickness are at a difference of temperature of 100 deg C and the area of the plate is 200 sq cm. Find the quantity of heat that will flow through the plate in one minute if K=0.2 CGS units​

Answer 1

The quantity of heat that will flow through the plate in one minute is 1.2 × 10⁶ Joules

Explanation:

Given:

Thickness of metal plate d = 0.2 cm

Temperature difference $\Delta T=100$ °C

Area of the plate A = 200 sq cm

Time t = 1 minute = 60 seconds

Thermal conductivity K = 0.2 W/cm-°C

To find out:

Heat transfer in 1 minute

Solution:

If heat transferred is Q then we know the relation

$Q=\frac{KA\Delta Tt}{d}$

$\implies Q=\frac{0.2\times 200\times 100\times 60}{0.2}$ Joules

$\implies Q=1.2\times 10^6$ Joules

Hope this answer is helpful.

Know More:

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