You have taken a job as a patent examiner, and your first assignment is to evaluate a "zero-point energy perpetual motion machine." You are skeptical, but after the applicant gives it an initial energy of \(1000 \mathrm{~J}\), the machine starts operating and does not immediately run down. Hours later, tired of waiting for the machine to stop, you use an infrared sensor and determine that the machine is losing thermal energy at an average rate of \(200 \mathrm{\mu J} / \mathrm{s}\). You would like to examine other devices while waiting for the machine to stop, but you do not want to miss its final few minutes of operation, and you are also concerned about its effect on the entropy of the environment.