(Originais Teachy 2023) - Question Medium of Physics

Imagine that a company wants to develop a thermal machine project that uses the energy generated by a power plant and ensures sustainable efficiency. This machine will operate in a Carnot cycle with temperatures at its hot and cold sources being Th and Tc, respectively. The company expects the machine to achieve the maximum possible efficiency, considering the laws of Thermodynamics. (a) Determine the maximum percentage efficiency of this thermal machine, using the relationship between the temperatures of the hot and cold sources. (b) Suppose the machine uses 4000 J of heat taken from the hot source. Calculate the amount of useful energy in the form of work done by the machine and the amount of heat released to the cold source. (c) To ensure the sustainability of the project, the company has decided to use digital technologies to improve the calculation of estimates and support in the construction of prototypes. Comment on the importance of using these technologies in the development of this thermal machine.