Clausius statement of the second law of thermodynamics: no process is possible whose sole result is the transfer of heat from a cooler to a hotter body. kelvin statement of the second law of thermodynamics: no process is possible whose sole result is the absorption of heat from a reservoir and the conversion of this heat into work. a) show that if the clausius statement of the second law of thermodynamics were false, then the kelvin statement of the second law would be false. b) show that if the kelvin statement of the second law of thermodynamics were false, then the clausius statement of the second law would be false. if you can complete parts a) and b), you will have shown that the clausius and kelvin statements of the second law are equivalent.