Composite R$-$Values Exercise

Calculate the Composite$/$Average R Value for the following walls:

$1.$ An $8$ high and $12$ long wall framed with $2$x$4$ wood studs at $16$ O$.$C$.$ that has double top and bottom plates. $3-1/2$ fiberglass insulation is used between the studs. On the interior there is $(1)/(2)$ gypsum board, and on the exterior there is $(1)/(2)$ OSB Sheathing, and $1/2"$ Wood Bevel Lapped siding.

$2.$ The wall from question $1$ now has a $5-0$ x $3-0$ window installed in it$.$ The window has a U$-$Value of $0\mathrm{.}35.($this is for reference for the next question, you don't need to provide an answer$)$

$3.$ The winter design temperature for its location is $0$F$.$ Assuming that the indoor temperature is $68$F$,$ what is the BTU$/$hr lost through this wall during the most extreme case?

$4.$ A $10$ high and $16$ long wall framed with $2$x$6$ wood studs at $24$ O$.$C$.$ that has single top and bottom plates. $5-1/2$ fiberglass batt insulation is used between the studs. On the interior there is $5/8$ gypsum board and on the exterior is $2$ Extruded Polystyrene Foam covered by $4$ common brick.

$5.$ The wall from question $4$ now has a $8-0$ x $6-0$ glazing system installed. The glazing system has a U$-$value of $0\mathrm{.}29.($this is for reference for the next question, you don't need to provide an answer$)$

$6.$ The winter design temperature for its location is $-10$F$.$ Assuming that the indoor temperature is $68$F$,$ what is the BTU$/$hr lost through this wall during the most extreme case?

$7.$ A $9$ high and $24$ long wall framed with $2$x$4$ wood studs at $16$ O$.$C$.$ that has double top and bottom plates. $3-1/2$ fiberglass batt insulation is used between the studs. On the interior there is $5/8$ gypsum board and on the exterior is $1$ Extruded Polystyrene Foam covered by $4$ concrete block.

$8.$ The wall from question $7$ now has a $7-0$ x $5-0$ glazing system installed. The glazing system has a U$-$value of $0\mathrm{.}34.($this is for reference for the next question, you don't need to provide an answer$)$

$9.$ The winter design temperature for its location is $10$F$.$ Assuming that the indoor temperature is $70$F$,$ what is the BTU$/$hr lost through this wall during the most extreme case?

R$-$Values.pdf

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Use R value of $4\mathrm{.}00$ per inch for fiberglass batts