a. Along wire (D = 1 mm, p = 8000 kg m, c= 500 kg + K+, k = 20 Wm+k) initially at 100 C is quenched in an oil bath (n = 500 W m K', T. = 25C). How long does it take before the hottest location of any part of the wire is equal to 26C? Hint: Part c asks you to investigate the influence of heat capacity on the solution, so use functions in your solution to make this easy. b. Plot the time-dependent temperature distribution at enough times to see the behavior of the system. Comment on the behavior. Explain why this plot would be more complicated if Bi = 0.2. Explain how you would graph such a case. C. Explore the behavior of heat capacity on the solution. Do so with "simple" calculations and plots and explain the behavior