A ball of iron, which may be used in the "shotput" event at a track meet, has a diameter of 12.50 cm. The density of iron is 7.874 g/cm3. If the ball is at 16.5°C and is heated by the addition of 1255 kJ of energy, what will the final temperature be? The volume of a sphere is equal to (4/3) (π) (r3), where r is the radius of the sphere and the specific heat of iron is 0.451 J/g°C. What the units.

answerlinnaeus;

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.