A thick metal plate (alpha = 3.3333 x 10^-6 m^2/s and k = 0.69 W/m-K), initially at a uniform temperature of 100°C, is suddenly exposed to a convection environment of water at 20°C, giving a very large convection coefficient. Required:a. Sketch the surface heat flux, q", as a function of time. b. Using an explicit numerical scheme with a time step of 60 s, calculate the time required for the temperature to change 80 mm from the surface.