A radiator by steam is used to heat a closed room. Heat is lost from the room to the outside at a rate of heat transfer by Newton Law. The outside temperature of the room is 5 C and dimensions of room are 3 m x 4 mx 5 m. Saturated steam at 4.0 bar condenses in the radiator and emerges as a liquid at the saturation temperature. The temperature inside the room at the initial radiator is turned on is 18 C. The overall heat transfer coefficient between inside and outside room is 28 W/m² C. The heat capacity of air to be constant is 36 J/(mol C). (a) Write a differential energy balance on the room air. (b) Integrate the unsteady-state balance to calculate the time required to achieve a temperature of 22 C.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A radiator by steam is used to heat a closed room. Heat is lost from the room to the outside at a
rate of heat transfer by Newton Law. The outside temperature of the room is 5 C and dimensions
of room are 3 mx 4 m × 5 m. Saturated steam at 4.0 bar condenses in the radiator and emerges
as a liquid at the saturation temperature. The temperature inside the room at the initial radiator is
turned on is 18 C. The overall heat transfer coefficient between inside and outside room is 28
W/m² C. The heat capacity of air to be constant is 36 J/(mol C).
(a) Write a differential energy balance on the room air.
(b) Integrate the unsteady-state balance to calculate the time required to achieve a
temperature of 22 C.
Transcribed Image Text:A radiator by steam is used to heat a closed room. Heat is lost from the room to the outside at a rate of heat transfer by Newton Law. The outside temperature of the room is 5 C and dimensions of room are 3 mx 4 m × 5 m. Saturated steam at 4.0 bar condenses in the radiator and emerges as a liquid at the saturation temperature. The temperature inside the room at the initial radiator is turned on is 18 C. The overall heat transfer coefficient between inside and outside room is 28 W/m² C. The heat capacity of air to be constant is 36 J/(mol C). (a) Write a differential energy balance on the room air. (b) Integrate the unsteady-state balance to calculate the time required to achieve a temperature of 22 C.
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