Question

A cylindrical wall has a temperature of 800 °C on the inside and is exposed to air and room surfaces at 20 °C on the outside. If the wall has an inside radius of 0.25 m, thickness of 10 cm, height of 0.5 m, and thermal conductance of 0.5 W (m-K), and the exposed outside surface has an emissivity of 0.8 and convection coefficient of 15 W (m?²K), (i) how much heat is transmitted through the wall, and (ii) what is the temperature of the exposed outside of the wall?

          A cylindrical wall has a temperature of 800 °C on the inside and is exposed to air and room surfaces at 20 °C on the outside. If the wall has an inside radius of 0.25 m, thickness of 10 cm, height of 0.5 m, and thermal conductance of 0.5 W (m-K), and the exposed outside surface has an emissivity of 0.8 and convection coefficient of 15 W (m?²K),
(i) how much heat is transmitted through the wall, and
(ii) what is the temperature of the exposed outside of the wall?

A cylindrical wall has a temperature of 800 °C on the inside and is exposed to air and room surfaces at 20 °C on the outside. If the wall has an inside radius of 0.25 m, thickness of 10 cm, height of 0.5 m, and thermal conductance of 0.5 W (m-K), and the exposed outside surface has an emissivity of 0.8 and convection coefficient of 15 W (m?²K),
(i) how much heat is transmitted through the wall, and
(ii) what is the temperature of the exposed outside of the wall?

Added by Catherine M.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Narayan Hari

03/19/2023

Step 1

The surface area of the wall can be calculated using the formula for the lateral surface area of a cylinder: Surface Area = 2πrh where r is the inside radius of the wall and h is the height of the wall. Given: Inside radius (r) = 0.25 m Height (h) = 0.1 Show more…

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Texts: A cylindrical wall has a temperature of 800°C on the inside and is exposed to air and room surfaces at 0°C on the outside. If the wall has an inside radius of 0.25 m, thickness of 10 cm, height of 0.1 m, and thermal conductance of 0 W/m-K, and the exposed outside surface has an emissivity of 0.5 and convection coefficient of 1 W/(m²-K). (B) (1) How much heat is transmitted through the wall and what is the temperature of the exposed outside of the wall?