A power plant is modeled as a closed system operating steadily between the high temperature T H = 1000 K and the ambient at T 0 = 300 K. The heat input is Q̇ H and the power output is Ẇ. Define the...

A power plant is modeled as a closed system operating steadily between the high temperature T_H
= 1000 K and the ambient at T₀
= 300 K. The heat input is Q̇_H
and the power output is Ẇ. Define the power plant efficiency 𝜂_P
and complete the inequality 𝜂_P

A refrigeration plant is modeled as a closed system operating steadily between the cold space T_L
= 280 K and the ambient at T₀
= 300 K. The refrigeration load extracted from the cold space is Q̇_L, and the power input is Ẇ. Define the refrigerator coefficient of performance COP_R
and complete the inequality COP_R