A 4-m room is heated by the radiator of a steam-heating

Chapter 4, Problem 65P

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QUESTION:

A \94-\mathrm{m} \times 5-\mathrm{m} \times 7-\mathrm{m}\) room is heated by the radiator of a steam-heating system. The steam radiator transfers heat at a rate of \(10,000 \mathrm{~kJ} / \mathrm{h}\), and a \(100-\mathrm{W}\) fan is used to distribute the warm air in the room. The rate of heat loss from the room is estimated to be about \(5000 \mathrm{~kJ} / \mathrm{h}\). If the initial temperature of the room air is \(10^{\circ} \mathrm{C}\), determine how long it will take for the air temperature to rise to \(20^{\circ} \mathrm{C}\). Assume constant specific heats at room temperature.

Equation Transcription:

10°C

20°C

Text Transcription:

4-m times 5-m times 7-m

10,000 kJ/h

100-W

5000 kJ/h

10 degree celsius

20 degree celsius

Questions & Answers

QUESTION:

A \94-\mathrm{m} \times 5-\mathrm{m} \times 7-\mathrm{m}\) room is heated by the radiator of a steam-heating system. The steam radiator transfers heat at a rate of \(10,000 \mathrm{~kJ} / \mathrm{h}\), and a \(100-\mathrm{W}\) fan is used to distribute the warm air in the room. The rate of heat loss from the room is estimated to be about \(5000 \mathrm{~kJ} / \mathrm{h}\). If the initial temperature of the room air is \(10^{\circ} \mathrm{C}\), determine how long it will take for the air temperature to rise to \(20^{\circ} \mathrm{C}\). Assume constant specific heats at room temperature.

Equation Transcription:

10°C

20°C

Text Transcription:

4-m times 5-m times 7-m

10,000 kJ/h

100-W

5000 kJ/h

10 degree celsius

20 degree celsius

ANSWER:

Step 1 of 3

Given Data:

The local atmospheric pressure is .

The initial temperature is .

The final temperature is .

The volume of the room is

The gas constant of air is .

The power of fan is as,

 

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