Please develop a question for each below and solve the math. Show steps. You can make it as simple as possible.

a] need a question about the heat energy conduction rate of an insulating container with an internal temperature of 4 degrees Celsius and an external temperature of 55 degrees Celsius. Then answer it. Feel free to use reasonable values for the sizes and materials of the container. [b] need a question about the amount heat carried away by convection after you have taken 4 breaths on a cold day. Then answer it. Feel free to look up reasonable estimates of temperature, the heat capacity of air, and your lung capacity. [c] need a question on how much more heat radiates away from a metal teapot that contains boiling water compared to one that contains water at 4 degrees Celsius. Then answer the question.