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Chapter 18: Problem 12

Several days after the end of a snowstorm, the roof of one house is still completely covered with snow, and another house's roof has no snow cover. Which house is most likely better insulated?

Short Answer

Expert verified
Explain your reasoning. Answer: The house with snow still on its roof is likely better insulated. This is because less heat has escaped through the roof, and the snow has not melted as rapidly as it did on the other house's roof. Better insulation reduces heat loss, and consequently, there is not enough heat escaping to melt the snow on the roof.

Step by step solution

01

Identify how insulation affects heat transfer

Insulation helps in reducing the rate of heat loss in a house. A better-insulated house will have less heat escaping through its roof.
02

Relate insulation to snow melting

Snow on a roof will melt if there is enough heat escaping from the house through the roof. The heat that escapes the house will warm up the snow, causing it to melt eventually.
03

Compare both houses' insulation effects on snow cover

Since both houses experienced the same snowstorm, different snow covers indicate varying rates of heat transfer through the roofs. The house with snow still on its roof likely has better insulation because less heat has escaped to melt the snow. On the other hand, the house with no snow on its roof may have experienced more heat loss through its roof, causing the snow to melt faster.
04

Determine which house is better insulated

Based on the information provided, we can conclude that the house with snow still on its roof is most likely better insulated. This is because less heat has escaped through the roof, and the snow has not melted as rapidly as it did on the other house's roof.

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Most popular questions from this chapter

The \(R\) factor for housing insulation gives the thermal resistance in units of \(\mathrm{ft}^{2}{ }^{\circ} \mathrm{F} \mathrm{h} / \mathrm{BTU}\). A good wall for harsh climates, corresponding to about 10.0 in of fiberglass, has \(R=40.0 \mathrm{ft}^{2}{ }^{\circ} \mathrm{F} \mathrm{h} / \mathrm{BTU}\) a) Determine the thermal resistance in SI units. b) Find the heat flow per square meter through a wall that has insulation with an \(R\) factor of 40.0 , with an outside temperature of \(-22.0^{\circ} \mathrm{C}\) and an inside temperature of \(23.0^{\circ} \mathrm{C}\)

A material has mass density \(\rho,\) volume \(V\), and specific heat \(c .\) Which of the following is a correct expression for the heat exchange that occurs when the material's temperature changes by \(\Delta T\) in degrees Celsius? a) \((\rho c / V) \Delta T\) b) \((\rho c V)(\Delta T+273.15)\) c) \((\rho c V) / \Delta T\) d) \(\rho c V \Delta T\)

Arthur Clarke wrote an interesting short story called "A Slight Case of Sunstroke." Disgruntled football fans came to the stadium one day equipped with mirrors and were ready to barbecue the referee if he favored one team over the other. Imagine the referee to be a cylinder filled with water of mass \(60.0 \mathrm{~kg}\) at \(35.0^{\circ} \mathrm{C}\). Also imagine that this cylinder absorbs all the light reflected on it from 50,000 mirrors. If the heat capacity of water is \(4.20 \cdot 10^{3} \mathrm{~J} /\left(\mathrm{kg}^{\circ} \mathrm{C}\right),\) how long will it take to raise the temperature of the water to \(100 .{ }^{\circ} \mathrm{C}\) ? Assume that the Sun gives out \(1.00 \cdot 10^{3} \mathrm{~W} / \mathrm{m}^{2},\) the dimensions of each mirror are \(25.0 \mathrm{~cm}\) by \(25.0 \mathrm{~cm},\) and the mirrors are held at an angle of \(45.0^{\circ}\)

You were lost while hiking outside wearing only a bathing suit. a) Calculate the power radiated from your body, assuming that your body's surface area is about \(2.00 \mathrm{~m}^{2}\) and your skin temperature is about \(33.0^{\circ} \mathrm{C} .\) Also, assume that your body has an emissivity of 1.00 . b) Calculate the net radiated power from your body when you were inside a shelter at \(20.0^{\circ} \mathrm{C}\). c) Calculate the net radiated power from your body when your skin temperature dropped to \(27.0^{\circ} \mathrm{C}\).

Which of the following does not radiate heat? a) ice cube b) liquid nitrogen c) liquid helium d) a device at \(T=0.010 \mathrm{~K}\) e) all of the above f) none of the above
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