An advanced coal-fired power plant has a heat rate of 9,000 Btu/kWh (this is the amount of heat needed from coal to produce each kWh of electricity). The total capacity of the plant is 640 MW, and it produces 4.5 billion kWh of electricity annually. The combustion chamber of this plant has a temperature of 1200C, and waste heat is rejected to a river at a temperature of 20C. The plant combusts coal (CH0.8O0.2) with an energy content of 29 MJ/kg.

1. What is the capacity factor of the plant?

2. What is the First-Law efficiency of this plant?

3. What is the Second-Law efficiency of this plant?

4. Suppose that the waste heat from the power plant is rejected into a nearby stream that flows at a rate of 20,000 L/sec. What is the temperature downstream from the plant when it is operational?

5. Show the balanced equation for the combustion of coal (CH0.8O0.2) in pure oxygen

6. How many kg of CO2will this plant emit for every 1.0 kg of coal that it burns?