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One winter day, the climate control system of a large university classroom building malfunctions. As a result, 500$m^{3}$ of excess cold air is brought in each minute. At what rate in kilowatts must heat transfer occur to warm this air by $10.0^{\circ} \mathrm{C}$(that is, to bring the air to room temperature)?
$\frac{Q}{t}=77.5 \mathrm{kW}$
Physics 101 Mechanics
Chapter 14
Heat and Heat Transfer Methods
Thermal Properties of Matter
Madyson L.
June 22, 2021
A 0.4 kg aluminum pan, c a l = 900 , on a stove is used to heat 0.25 liters of water from 22 ºC to 95 ºC.
Simon Fraser University
Hope College
University of Sheffield
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in number 50. There's a malfunction in a heating system where 500 meters cubed of cold air is broken in each minute, and we're justifying what rate of heat transfers needed to raise the temperature by 10 degrees. It's a rate of heat transfer transfer, so that's, um, heat her tongue and we're not having to face change. So it's just changing temperature here. So that's a M C Delta T for the heat for time. So it's a rate. Um, we know of all you and we know that it's air and density of anything is its mass per volume so mass would be density times the volume. So I'm just gonna substitute that in here. So the rate of heat transfer it's gonna be density times, volume time, specifically times the change in temperature per time. I look on table 11.1 and I got the density of air was 1.29 and that was kilograms for meter, cubed I have my volume is in meters cubed specific heat. I looked up on a table for air table 14.1 and for air 721 and the change in temperature want is 10 degrees and that cold air was brought in 500 per minute. So, of course, my time has to be in seconds. I'm gonna make that 60. I multiply and, like, 77,500 And that would be wants. I'm asked to give him my answer and Kilowatts, though. So that would be 77.5 kilowatts.
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