Insulation $\delta$ $U$ $T_0$ $2l$ $T_\infty$ $u'''$ $2b$ $h_1$ $h_2$ $L$ Insulation
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The thermal insulation used in building is commonly rated in terms of its $R$ -value, defined as $d / k,$ where $d$ is the thickness of the insulation in inches and $k$ is its thermal conductivity. (See Insight 11.2 on $\mathrm{p} .403 .$ In the United States, R-values are expressed in British units. For example, 3.0 in. of foam plastic would have an $\mathrm{R}$ -value of $3.0 / 0.30=10,$ where $k=0.30 \mathrm{Btu} \cdot \mathrm{in} . /\left(\mathrm{ft}^{2} \cdot \mathrm{h} \cdot{ }^{\circ} \mathrm{F}\right) .$ This (a) Better insulation has a value is expressed as $\mathrm{R}-10 .$ (1) high, (2) low, or (3) zero R-value. Explain. (b) What thicknesses of (1) styrofoam and (2) brick would give an R-value of $R-10 ?$
The R-factor of home insulation is directly proportional to its thickness $T$. a) Find an equation of variation if $R=12.51$ when $T=3$ in. b) What is the R-factor for insulation that is 6 in. thick?
Kyle S.
The R-factor of home insulation is directly proportional to its thickness $T.$ a) Find an equation of variation if $R=12.51$ when $T=3$ in. b) What is the R-factor for insulation that is 6 in. thick?
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