Question $2(25$ points$)$ : The passenger compartment of a minivan traveling at $95k\frac{m}{h}$can be modeled as a $1$ m high, $1\mathrm{.}8$ m wide, and $3\mathrm{.}4$ m long rectangular box whose walls have an insulating value of R$-0\mathrm{.}5($i$.$e$.,$ a wall thickness to thermal conductivity ratio of $0\mathrm{.}5m^2.\frac{C}{W}).$ The interior of a minivan is maintained at an average temperature of $20C$ during a trip at night while the outside air temperature is $30C.$ The average heat transfer coefficient on the interior surfaces of the van is $6\mathrm{.}8\frac{W}{m^2}.C.$ The air flow over the exterior surfaces can be assumed to be turbulent because of the intense vibrations involved, and the heat transfer coefficient on the front and back surfaces can be taken to be equal to that on the top surface. Disregarding any heat gain or loss by radiation, determine the rate of heat transfer from the ambient air to the van.