If the temperature inside a room is 298K and the temperature outside is 263K, calculate the maximum value of r (relative humidity) that can be accommodated inside the room without the windows fogging when (a) the interior part of the windows is not thermally isolated (i.e heat is transferred freely) from the exterior part, and (b) it is thermally isolated. Assume lv (latent heat of vaporization) = 2,500,000 J/kg and cw = 4218 J/kgK. Please show all work.