$($b$)[5$ pts$]$ The wooden frame of a window is $2$ in thick; see figure below. The bottom of the window closes against the sill with a space between frame and sill of $0$ window $($distance perpendicular to the paper in the figure$)$ is $3ft.$ When the wind $)=(1\mathrm{.}80{10}^{-5}(Pa).s$ is blowing toward the window and creating a pressure difference of $140Pa$ across the window, what is the volumetric flow rate of air through the space between frame and sill?