A room is initially at the outdoor temperature of 25°C. Now a large fan that consumes 400 W of electricity when running is turned on. The heat transfer rate between the room and the outdoor air is given as: Q=UA(Ti-To) where U = 6 W/m2·°C is the overall heat transfer coefficient, A =30 m2 is the exposed surface area of the room, and Ti and To are the indoor and outdoor air temperatures, respectively. Determine the indoor air temperature when steady operating conditions are established.
Added by Mohamed H.
Close
Step 1
This is because, in steady state, the temperature of the room remains constant, which means the heat coming into the system equals the heat going out. The heat generated by the fan is 400 W. The heat transfer rate between the room and the outdoor air is given by Show more…
Show all steps
Your feedback will help us improve your experience
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A room is initially at the outdoor temperature of 25°C. Now a large fan that consumes 200 W of electricity when running is turned on. The heat transfer rate between the room and the outdoor air is given as Q = UA(Ti − To) where U = 6 W/m²·°C is the overall heat transfer coefficient, A = 30 m² is the exposed surface area of the room, and Ti and To are the indoor and outdoor air temperatures, respectively. Determine the indoor air temperature when steady operating conditions are established.
Sri K.
An air conditioner with a coefficient of performance of 6.22 maintains a room at 20°C. The average coefficient of heat transfer to the 50 sq.m. walls is 2.7 W/m^2 K, while the outside temperature is 40°C. For steady operation, determine the rate that energy is removed from the room air by the air conditioner, in kW.
The ventilating fan of the bathroom of a building has a volume flow rate of $30 \mathrm{L} / \mathrm{s}$ and runs continuously. The building is located in San Francisco, California, where the average winter temperature is $12.2^{\circ} \mathrm{C},$ and is maintained at $22^{\circ} \mathrm{C}$ at all times. The building is heated by electricity whose unit cost is $\$ 0.12 / \mathrm{kWh}$. Determine the amount and cost of the heat "vented out" per month in winter.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD