Example Problem with Complete Solution

6C-1 : Is This a Perpetual Motion Machine ? 2 pts
An inventor claims to have developed a resistance heater that supplies 1.2 kW-h of energy to a room for each kW-h of electricity it consumes.  Is this a reasonable claim or has the inventor developed a perpetual motion machine ?  Explain.
               
Read: Short and sweet.
Given: Ws 1 kW-h Find :
QH 1.2 kW-h Is this a PMM ?  Explain
Assumptions: None.
Diagram : Figure 1
Equations / Data / Solve :
Apply the 1st Law to the inventor's process :
Equation 1 Eqn 1
But 1.2 kW-h ¹ 1 kW-h !
Therefore, if the device operates on a true thermodynamic cycle (no change in state after a complete cycle), then it violates the 1st Law.
Verify : No assumptions to verify !
Answer : It is a PMM of the 1st Kind !