Consider two concentric spheres whose radii differ by t = 1 nm, the "thickness" of the interface. at what radius (in nm) of sphere does the volume of a shell equal that of the interior sphere? assume the shell thickness to be t = 1 nm.
b. use software to prepare the figure and make sure all axes and plots are labeled.

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answer: semi-infinite solid initially at a uniform temperature of 400 ◦c is cooled at its surface by convection. the cooling fluid at a constant temperature of 200 ◦c has a convective coefficient (ha) of 250 w/m2.k. the physical properties of the solid: k = 20 w/m.k and α = 4 * 10-5  m2/s. using δx = 0.04 m and δt = 10 s. write the finite difference equations describing the transient heat transfer of the first five δx and the temperature profile after 30 s.