Consider two completely isolated thermal energy reservoirs t

Consider two completely isolated thermal energy reservoirs that are allowed to interact. Reservoir A is at 1000K, while reservoir B is at 500K. For each of the cases below, state if the First Law of Thermodynamics is satisfied or violated AND if the Second Law is satisfied or violated. Explain your answer,

#	Qa (kJ)	Qb (kJ)	First Law (Satisfied or Violated)	Second Law (Satisfied or Violated)
1a.	400	-300
1b.	-400	-400
1c.	-400	400
1d.	400	-300
1e.	-400	300
1f.	400	-400

Solution

# Qa (kJ) Qb (kJ) First Law (Satisfied or Violated) Second Law (Satisfied or Violated) 1a. 400 -300 Violated, because heat is transferred from B to A but not of the same magnitude Violated because A is at higher temperature, so it can not receive heat from B 1b. -400 -400 Violated, because heat is transferred from both the system (energy can not be destroyed) Violated because B canot reject heat 1c. -400 400 Satisfied, because same heat is transferred from A to B Satisfied because heat is transferred from higher temperature body to the lower temperature body 1d. 400 -300 Violated, because heat is transferred from B to A but not of the same magnitude Violated because A is at higher temperature, so it can not receive heat from B 1e. -400 300 Violated, because heat is transferred from A to B but not of the same magnitude Satisfied because heat is transferred from higher temperature body to the lower temperature body 1f. 400 -400 Satisfied, because same heat is transferred from B to A Violated because A is at higher temperature, so it can not receive heat from B