A typical coal-fired power plant has a rated power of 1000 MW. It works at 50% capacity with a thermal efficiency of 40%. It burns coal with a high heating value of 30 MJ/kg, a carbon content of 87% by weight, a sulfur content of 2% by weight, a nitrogen content of 1% by weight, and a mineral content of 10% by weight: (a) What is the average consumption rate of coal (in kg/s) by this power plant? (b) How much coal (in tons) is consumed by this power plant every day? (c) A single rail car can carry 120 tons of coal. How many rail cars loaded with coal does this power plant need every day? (d) What is the average emission rate of CO2 (in kg/s) by this power plant? Assume that all carbon content is emitted as CO2. (e) How much CO (in m at standard temperature and pressure) is emitted by this power plant every day? Assume that CO2 is an ideal gas. (f) What is the average emission rate of SO (in kg/s) by this power plant? Assume that all sulfur content is emitted as SO2. (g) What is the average emission rate of NO (in kg/s) by this power plant? Assume that all nitrogen content is emitted as NO. (h) What is the average emission rate of fly ash (in kg/s) by this power plant? Assume that all mineral content is emitted as fly ash. (i) The average monthly electricity consumption by a household in Los Angeles is about 750 kWh. How many households can this power plant supply in electricity? (j)Los Angeles Department of Water and Power is the largest municipal utility in the country serving 4 million residents. How many coal-fired power plants would LADWP need to provide enough electricity for its residential customers?