Double-paned thermal insulating windows consist of two glass panels separated by a narrow gap from which most of the air has been removed to create a near vacuum in the space between the panes. Explain how this design helps to better insulate a home than a window that is made from a single sheet of glass. a) The double-paned window allows for less heat loss through conduction. b) The vacuum between the two panes of glass acts as a very efficient insulator. c) The double-paned window allows for less heat loss through convection. d) The vacuum between the two panes of glass acts as a very efficient conductor.

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x, y,t)along the plate at any time t. b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax