(Heat transfer) The transfer of heat energy through matter, referred to as heat conduction, is always from a region of higher temperature to one of lower temperature. It occurs by transferring energy from atom to atom within a substance. With uniform temperatures on either side of equal-sized surfaces, the rate of heat flow through a substance is provided by Fouriers law of heat conduction, which becomes the following formula:

a. Write, compile, and run a C++ program that calculates and displays the heat transfer through a substance. The inputs should be the substances thermal conductivity, its width, and temperatures on either side of it. Your program should determine which unit system is used, item by item, and then convert units as necessary so that a consistent unit system (SI or U.S. Customary) is used in the final determination of Q. The output should display the value of Q in both unit systems.

b. Verify that your program is working by hand-calculating the heat transfer through a cement wall with a thermal conductivity of .29 watts/mK and a thickness of 15 cm. One side of thewall is at a constant temperature of 32C, and the other side is -7C.

c. After verifying that your program is working correctly, use the following chart of thermal conductivities to determine the heat transfer rate for the following:

i. A pane of glass thats cm thick and has an inside temperature of 24C and an outside temperature of 15C

ii. A column of air 10 cm thick thats held between two walls, one with a temperature of 23C and the other of 14C