A solar panel with an area of 25 square meters and an efficiency of 20% is installed in a region receiving an average solar irradiance of 800 W/m². Calculate the total power output of the system in kilowatts (kW).

A wind turbine with a rotor diameter of 50 meters operates at an average wind speed of 12 m/s. The air density is 1.2 kg/m³. Calculate the power available in the wind intercepted by the turbine in watts (W).

A biomass power plant burns 12,000 kg of biomass with an energy content of 17 MJ/kg. If the efficiency of the plant is 28%, calculate the total electrical energy produced in megajoules (MJ).

A hydroelectric dam has a water flow rate of 900 cubic meters per second and a height of 110 meters. If the efficiency of the power generation is 92%, calculate the power output in megawatts (MW). (Use g = 9.8 m/s² for gravitational acceleration and the density of water = 1000 kg/m³)

A household installs an energy-efficient air conditioning unit that consumes 2 kW of power and operates for 8 hours a day. Calculate its annual energy consumption in kilowatt-hours (kWh).

A geothermal power plant extracts 3,000 MJ of heat from a geothermal reservoir. If the plant operates at a thermal efficiency of 18%, calculate the electrical energy produced in megajoules (MJ).

A concentrated solar power (CSP) plant receives 12,000 MJ of solar energy per day and has a thermal efficiency of 22%. Calculate the daily electrical energy output in megajoules (MJ).

A wind turbine with a capacity of 1.5 MW operates at a capacity factor of 40% for 24 hours. Calculate the total energy produced by the turbine in megawatt-hours (MWh).

A biogas plant produces 800 cubic meters of biogas per day with an energy content of 20 MJ per cubic meter. Calculate the total daily energy production in megajoules (MJ).

A hydroelectric plant operates with a head of 130 meters and a flow rate of 650 cubic meters per second. If the plant's efficiency is 87%, calculate the power output in megawatts (MW). (Use g = 9.8 m/s² for gravitational acceleration and the density of water = 1000 kg/m³)

A geothermal power plant operates with an output of 60 MW and runs continuously for a year. Calculate the annual energy production in gigawatt-hours (GWh).

A solar farm has 300 panels, each generating 300 watts. If the farm receives 6 hours of sunlight per day, calculate the total energy produced per day in kilowatt-hours (kWh).

A wind turbine generates 750 kW at wind speeds of 14 m/s. If the wind speed drops to 11 m/s, calculate the new power output assuming the power output is proportional to the cube of the wind speed.

A biogas plant produces 1,500 cubic meters of biogas per day with an energy content of 21 MJ per cubic meter. Calculate the total daily energy production in megajoules (MJ).

A hydroelectric plant operates with a head of 140 meters and a flow rate of 700 cubic meters per second. If the plant's efficiency is 85%, calculate the power output in megawatts (MW). (Use g = 9.8 m/s² for gravitational acceleration and the density of water = 1000 kg/m³)