6-125 A heat pump designer claims to have an air-source heat pump whose coefficient of performance is 1.8 when heating a building whose interior temperature is 300K and when the atmospheric air surrounding the building is at 260K. Is this claim valid?

Asking second time , Strictly don't use chatgpt. I need to understand the concept,give detailed solution in Handwritten format.

Heat Engine you are an engineering consultant who has been tasked with providing power to a remote village. After some initial evaluation it was determined that a simple four-device heat engine with water as the working fluid is the best option to produce electricity at the location. Natural gas and wood are abundantly available as a fuel source and 400 kW of power is needed. Design a heat engine to meet the stated requirements.

A "cold room" used for low-temperature research is maintained at a constant temperature of 7.00°C. The refrigeration unit vents to outdoor air which is at 27.0°C. The rate at which energy is exhausted to the outdoors is 18.0 kW. The coefficient of performance (COP) of the refrigeration unit is equal to 40.0% of the COP of an ideal Carnot refrigerator. (a) At what rate (in kW) does the refrigeration unit remove energy from the room? (Round your answer to at least two decimal places.) kW (b) What is the power input (in kW) required by the refrigeration unit? kW (c) What is the entropy change of the Universe (in J/K) produced by the refrigeration unit after it operates for 3.00 h? J/K (d) If the outside temperature increases to 33.0°C, what is the percent change in the COP of the refrigeration unit? (Include the sign of the value in your answer.) % Need Help? Read It