A concave mirror (similar to the shape of a satellite dish) has a diameter of 3.

Question

A concave mirror (similar to the shape of a satellite dish) has a diameter of 3.00 m. (The focal point of such a reflecting surface is the point at which any incident radiation will be focused (concentrated) and is located at a distance of 4.20 m in front of this mirror). The incident infrared solar flux is 527 watts/m^2 at the mirror's location on the surface of the earth. Find the time to raise the temperature of 5.00 liters of liquid water placed at the focal point of the mirror from 20.00 degree C to 100.00 degree C. Give the answer in minutes.

Explanation / Answer

Here ,

area of mirror , A = pi * r^2

A = pi * (3/2)^2

I = 527 W/m^2

let the time taken is t

heat needed = heat gained by water

5 * 1 * 4186 * (100 - 20) = pi * (3/2)^2 * 527 * t

solving for t

t = 449.5 s

the time taken is 449.5 s

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