In a factory, various metal pieces are forged and then plunged into a cool liquid to quickly cool the metal. The types of metals produced, as well as their specific heat capacity, are listed in the table below.

Material Specific Heat [J/(g C)]

Aluminum 0.897

Cadmium 0.231

Iron 0.450

Tungsten 0.134

The metal pieces vary in mass, and are produced at a temperature of 300 degrees Celsius. The ideal process lowers the temperature of the material to 50 degrees Celsius. The liquid used to cool the metal is glycerol. The properties of glycerol are listed below.

Material Property Value [Units]

Specific heat 2.4 J/(g C)

Specific gravity 1.261

Initial temperature 25 C

There are data sets from four different data collection sessions. In the first data collection session, a lab technician collected seven different measurements and recorded mass in grams of aluminum rods. The second data set contains cadmium rods; the third data set contains iron rods, and the fourth data set contains tungsten rods.

Mass of Object [g]

Aluminum Cadmium Iron Tungsten

2,000 3,000 2,500 4,800

2,500 4,000 3,500 6,400

3,000 6,500 4,500 10,400

4,000 8,000 5,000 12,800

5,500 10,000 5,500 16,000

7,500 11,000 7,500 17,600

8,000 15,000 9,000 24,000

Write a code in MATLAB that can calculate the thermal energy in joules that must be removed for each rod to cool it from 300 to 50 degrees Celsius for each mass and (2) to determine the volume of fluid needed in gallons to properly cool the rod for each mass. The result from the second function should be a matrix with the first column being the mass of the rod, and the second column the volume of fluid needed.

Our instructor does not want us to use functions for this question in MATLAB.