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A 50-L electrical radiator containing heating oil is placed in a 50-m³ room. Both the room and the oil in the radiator are initially at 5°C. The radiator with a rating of 3 kW is now turned on. At the same time, heat is lost from the room at an average rate of 0.3 kJ/s. After some time, the average temperature is measured to be 20°C for the air in the room, and 60°C for the oil in the radiator. Taking the density and the specific heat of the oil to be 950kg/m³ and 2.2kJ/(kg °C), respectively, determine how long the heater is kept on. Assume the room is well-sealed so that there are no air leaks.

A 50-L electrical radiator containing heating oil is placed in a 50-m³ room. Both the room and the oil in the radiator are initially at 5°C. The radiator with a rating of 3 kW is now turned on. At the same time, heat is lost from the room at an average rate of 0.3 kJ/s. After some time, the average temperature is measured to be 20°C for the air in the room, and 60°C for the oil in the radiator. Taking the density and the specific heat of the oil to be 950kg/m³ and 2.2kJ/(kg °C), respectively, determine how long the heater is kept on. Assume the room is well-sealed so that there are no air leaks.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A 50-L electrical radiator containing heating oil is placed in a 50-m³ room. Both the room and the oil in the radiator are initially at 5°C. The radiator with a rating of 3 kW is now turned on. At the same time, heat is lost from the room at an average rate of 0.3 kJ/s. After some time, the average temperature is measured to be 20°C for the air in the room, and 60°C for the oil in the radiator. Taking the density and the specific heat of the oil to be 950kg/m³ and 2.2kJ/(kg °C), respectively, determine how long the heater is kept on. Assume the room is well-sealed so that there are no air leaks.
Transcribed Image Text:A 50-L electrical radiator containing heating oil is placed in a 50-m³ room. Both the room and the oil in the radiator are initially at 5°C. The radiator with a rating of 3 kW is now turned on. At the same time, heat is lost from the room at an average rate of 0.3 kJ/s. After some time, the average temperature is measured to be 20°C for the air in the room, and 60°C for the oil in the radiator. Taking the density and the specific heat of the oil to be 950kg/m³ and 2.2kJ/(kg °C), respectively, determine how long the heater is kept on. Assume the room is well-sealed so that there are no air leaks.
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