Complete the demonstration of the equivalence of the clausius and kelvin-planck statements of the second law given in sec. 5.2 by showing that a violation of the kelvin-planck statement implies a violation of the clausius statement. an inventor claims to have developed a device that undergoes a thermodynamic cycle while communicating thermally with two reservoirs. the system receives energy q c from the cold reservoir and discharges energy q h to the hot reservoir while delivering a net amount of work to its surroundings. there are no other energy transfers between the device and its surroundings. evaluate the inventor's claim using (a) the clausius statement of the second law, and (b) the kelvin-planck statement of the second law.