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Chapter 16: Problem 34

Find the \(\mathcal{R}\) -factor for a wall that loses 0.040 Btu each hour through each square foot for each \(^{\circ} \mathrm{F}\) temperature difference.

Short Answer

Expert verified
The R-factor of the wall is 25 ft虏路掳F路h/Btu.

Step by step solution

01

Identify Given Values

Given the heat loss rate, denoted by U, as 0.040 Btu/hr路ft虏路掳F. Now, the task is to find the R-factor.
02

Understand the Relationship

The R-factor and the heat loss rate (U-factor) have an inverse relationship. That means, when the R-factor increases (better insulating properties), the U-factor decreases (less heat loss). On the other hand, when the R-factor decreases, the U-factor increases. Therefore, R-factor = 1 / U-factor.
03

Calculate the R-Factor

Using the above formula, plug in the given U-factor and calculate the R-factor. So, R-factor = 1 / 0.040 Btu/hr路ft虏路掳F.
04

Compute the Value

Upon performing the division, we find that the R-factor = 25 ft虏路掳F路h/Btu.

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