A bakelite coating is to be used with a 10 mm diameter rod, whose surface is maintained at 200 degrees C by passage of an electrical current through it. The rod is in a fluid at 25 degrees C, and the convection coefficient is 140 W/m2-K. a. What is the critical radius associated with the coating? b. What is the heat transfer per unit length for the bare rod (Note: this is before the Bakelite is added)? c. Now, a coating of Bakelite is added to the rod to make the radius equal to the critical radius. What is the heat transfer per unit length for the rod with the coating of Bakelite? d. How much Bakelite should be added to reduce the heat transfer associated with the bare rod by 35 percent? In other words, start with the q' of the bare rod and reduce that by 35 percent by adding Bakelite. Hint: may need to use a root finder or solver in your calculator for this one! Show your general equation and final answer.