An engineer designs a machine that in every cycle first absorbs 10kJ of heat from asteam boiler at0400 C . The heat is then used to perform 6kJ of work, and in the finalstage of the cycle, 4kJ of heat is emitted to a room at a temperature of025 C . Usingappropriate calculations determine which of the following is true:a. The machine violates the first law.b. The machine violates the second law.c. The machine violates the first and second lawsd. The machine does not violate the first and second laws

To answer this question, we need to understand the first and second laws of thermodynamics.

The first law of thermodynamics, also known as Law of Conservation of Energy, states that energy cannot be created or destroyed in an isolated system. The total amount of energy and matter in the Universe remains constant, merely changing from one form to another.

The second law of thermodynamics states that the entropy of any isolated system always increases. This law provides an absolute definition of the direction of "time".

Now, let's analyze the machine:

1. The machine absorbs 10kJ of heat from a steam boiler.
2. It then uses this heat to perform 6kJ of work.
3. Finally, it emits 4kJ of heat to a room.

From the first law of thermodynamics (conservation of energy), the energy input should equal the energy output. In this case, the machine absorbs 10kJ of energy and outputs 6kJ of work and 4kJ of heat, which totals 10kJ. Therefore, the machine does not violate the first law of thermodynamics.

However, the second law of thermodynamics states that heat cannot flow from a colder body to a hotter body without the application of work. In this case, the machine is emitting heat to a room that is at a lower temperature than the steam boiler from which it initially absorbed heat. This is a violation of the second law of thermodynamics.

So, the correct answer is: b. The machine violates the second law.