1. Which of the substances listed in the table above would heat up fastest if an equal amount of heat energy were applied to all of the substances at the same time? Explain your answer.

2. Which of the substances listed in the table above would you choose as the best insulator
(substance that requires a lot of heat energy to experience a change in temperature)? Explain your
answer.

3. You work for a design company and have been given the task of designing a pot to boil water
quickly. Which of the materials in the table above would you select for your design and why?

Find the steady-state temperature at the center of the plate = /2, = /2) for sums of w from n=1 to n=19 (only odd values). find the value of n for which the change in /2, /2) is less than 1% from the value at the previous n. at this point, we consider the solution converged. does the value of the temperature at the center seem reasonable? in this part, the values of x and y are constant scalar values. you should produce a plot of the value of n on the horizontal and the estimate of the temperature at the center of the plate on the vertical. b. using the value of n (or larger) that resulted in convergence in part (a), create a contourf plot of the temperature distribution across the entire plate. use enough spatial subdivisions to create a useful plot. comment on the results. hint: you need to determine what “x” and “y” values to use to make your t matrix. i recommend using a different number of x and y values. use enough x and y values so that the plot is “smooth”.