A heat engine operates between two reservoirs at 8000 C and 200 C. One-half of the work output of the engine is used to drive a Carnot heat pump that removes heat from the cold surroundings at 20 C and transfers heat to a house maintained at 220 C. If the house is losing heat at a rate of 62,000 kJ/h, determine the minimum rate of heat supply to the heat engine required to keep the house at 220 C

A system executes a power cycle while receiving 900 Btu by heat transfer at a temperature of 900°R and discharging 600 Btu by heat transfer at a temperature of 540°R. There are no other heat transfers. Determine the cycle thermal efficiency. Use the Clausius Inequality to determine ocycle, in Btu/°R. Determine if this cycle is internally reversible, irreversible, or impossible.

A system executes a power cycle while receiving 1000 Btu by heat transfer at a temperature of 900oR and discharging 600 Btu by heat transfer at a temperature of 540oR. There are no other heat transfers.Determine the cycle thermal efficiency.  Use the Clausius Inequality to determine σcycle, in Btu/oR. Determine if this cycle is internally reversible, irreversible, or impossible.

Professor Modyn wants to power his refrigerator with a heat engine. A Carnot heat engine receives heat from a reservoir at 543.0 ∘C543.0 ∘C at a rate of 820 kJ/min820 kJ/min and rejects heat to the ambient air at 31.1 ∘C.31.1 ∘C. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at −3.23 ∘C−3.23 ∘C and transfers it to the same ambient air at 31.1 ∘C.31.1 ∘C. Note: The IUPAC sign conversion for work is used. Work into the system has a positive value. Determine the maximum rate of heat removal from the refrigerated space (kW) Determine the total rate of heat rejection to the ambient air. Heat rejection is a negative value. Account for both the heat engine and refrigerator.