Final answer:
The rate of heat flow through a wall construction can be calculated using the temperature difference, wall area, and combined R-values. Adjustments need to be made for wooden studs when calculating part (b).
Step-by-step explanation:
The subject of the question pertains to the heat flow through a wall of specific construction and materials. Firstly, the rate of heat flow through the wall can be calculated using the formula Q = (\(\Delta T\))/R \(\times\) A, where \(\Delta T\) is the temperature difference across the wall (22 ℃ - (-2 ℃) = 24 ℃), R is the total R-value of the wall's insulation, and A is the area of the wall. In this case, A is 3 m tall and 10 m wide, thus A = 30 m\(^2\), while R is the sum of R-values for the drywall, fiberglass batts (we'd need to know its R-value), and insulated siding.
For part (b), the R-value of the wall must be adjusted to account for the thermal properties of the wooden studs, which have an R-value lower than that of insulation. The new rate of heat flow can be calculated using the same formula, taking into account the proportion of the wall area taken by the studs and the remaining area occupied by the insulation.