a. (10 points) Describe the Kelvin-Planck Statement of the Second Law of Thermodynamics b. (10 points) Describe the Clausius Statement of the Second Law of Thermodynamics c. (10 extra points)

Prove the Clausius Statement using the Kelvin-Planck Statement. (Hint:The strategy is to reveal the fallacy of an assumption by showing its logical consequence is absurd, which is also known as reductio ad absurdum).