You can see the two dimensional heat transfer shown below. There is a pot, made of lucite plexiglass with alpha$=0\mathrm{.}1$ mm$^2/$s and filled with water at $79$ C in a room at $24$ C $.$ Assume the water and room temperatures are constant. Find the temperature change at pot surface while water held inside the carafe after $400$ seconds$($conduction and radiation effects are neglected$).$