A typical coal-fired power plant generates 1000 MW of usablepower at an overall thermal efficiency of 40%. (a) What is the rateof heat input to the plant? (b) The plant burns anthracite coal, which hasa heat of combustion of 2.65 * 10^7 J/kg. How much coal does the plantuse per day, if it operates continuously? (c) At what rate is heat ejectedinto the cool reservoir, which is the nearby river? (d) The river is at18.0C before it reaches the power plant and 18.5C after it has receivedthe plant’s waste heat. Calculate the river’s flow rate, in cubic meters persecond. (e) By how much does the river’s entropy increase each second?

A typical coal-fired power plant generates 1000 MW of usablepower at an overall thermal efficiency of 40%. (a) What is the rateof heat input to the plant? (b) The plant burns anthracite coal, which hasa heat of combustion of 2.65 * 10^7 J/kg. How much coal does the plantuse per day, if it operates continuously? (c) At what rate is heat ejectedinto the cool reservoir, which is the nearby river? (d) The river is at18.0C before it reaches the power plant and 18.5C after it has receivedthe plant’s waste heat. Calculate the river’s flow rate, in cubic meters persecond. (e) By how much does the river’s entropy increase each second?

Related questions

Q: (a) What is the best coefficient of performance for a refrigerator that cools an environment at…

Q: A heat engine is required to work at 80 per cent efficiency. At what temperature must the hot source…

A: Given data: Efficiency of heat engine,η=80%=0.8 Temperature of the cold sink, T2=20C = 273+20 = 293…

Q: A typical electric refrigerator has a power rating of 600 W, which is the rate (in J/s) at which…

A: Given: The power rating of the refrigerator is 600 W. The heat released into the room is 1000 W.…

Q: Assume that the turbines at a coal-powered power plant were upgraded, resulting in an improvement in…

Q: A coal-fired electrical power station has an efficiency of 38%. The temperature of the steam leaving…

Q: (a) What is the efficiency (in percent) of a cyclical heat engine in which 55.0 kJ of heat transfer…

A: heat transferred to environment = 55 kJ heat transferred to engine = 70kJ

Q: ne of the most efficient engines ever built (actual efficiency 42.0%) operates between 430°C and 1…

A: Actual Efficieny of the engine is e = 42% Highest operating temperature of the Engine is Th = 1870 C…

Q: A reversible engine converts one sixth of heat input into work. When the temperature of the sink is…

Q: (a) How much heat transfer occurs to the environment by an electrical power station that uses…

A: Given data: Heat input, QH=1.25×1014 Efficiency, η=0.44 a) Heat transfers to environment is find…

Q: (a) What is the work output of a cyclical heat engine having a 22.0% efficiency and 6.00×109 J of…

A: a) The expression for the Efficiency is, Therefore

Q: Suppose a woman does 600 J of work and -9400 J of heat transfer occurs into the environment in the…

A: Work, W = 600 JHeat, Q = -9400 JEfficiency, Eff = ?

Q: A steam engine is operated in a cold climate where the exhaust temperature is 0°C. (a) Calculate the…

A: (A) The theoretical maximum efficiency of the engine is given by the following expression: η=1-TLTH…

Q: What is the efficiency of an engine that exhausts 840 J of heat inthe process of doing 360 J of…

A: exhaust heat, Q2 = 840 J Work, W = 360 J

Q: ASK YOUR TI Suppose a woman does 913 J of work and dissipates 8,254 J of heat in the process. (a)…

A: ∆U=Q-W=8254 J-913 J=7341 J2.39×10-4 kcal1 J=1.75 kcal

Q: When a system is takenfrom state a to state b in Fig. along path acb, 90.0 J of heat flowsinto the…

A: (a) The first law of thermodynamics can be written as ΔU=Q-WΔU=90.0 J-60.0 JΔU=30.0 J…

Q: A large electrical power station generates 1000 MW of electricity with an efficiency of 35.0%. (a)…

A: Part (a) Given: The power of electrical energy in one day is P=1000 MW. The efficiency of station…

Q: tor to the turbines at a temperature of 560 ° C. If the turbines release heat at a temperature of…

Q: A heat engine operating between energy reserviors of 123.08 oC and 411.490C has 20.18% of the…

Q: A copper block is removed from 310ºC oven and immediately dropped into 3.75 L of water at 20ºC.in an…

A: Given - Volume of water , V = 3.75 L Initial temperature of water , Ti = 20°C Final temperature of…

Q: 1. Suppose a woman does 600 J of work and -9400 J of heat transfer occurs into the environment in…

Q: If the engine does 5.0 J of work per cycle, how much heat per cycledoes it absorb from the…

Q: To get an idea of how much thermal energy is contained inthe world’s oceans, estimate the heat…

A: To determine: The thermal energy in the world’s ocean by estimating the heat liberated by the cube…

Q: Steam turbine engines are connected in pairs at a power plant so that the heat output of the first…

Q: What is the maximum possible coeffcient of performance of a heat pump that brings energy from…

A: The relation between temperature in kelvin and the temperature in Celsius is: Convert the…

Q: You perform maintenance on an engine, increasing its efficiency by 5 %. How much more work is…

A: Given data : Efficiency, Input heat,

Q: gas enclosed in a chamber absorbs 949.70 J of heat and during the same time does 353.61 J of work on…

A: Heat absorbed = 949.70 J Hence, heat added to system q = - 949.70 J Work done by system W = 353.61…

Q: one cycle of an engine, energy is absorbed fröm å hốt réšérvoir at energy is expelled to a cold…

A: Given data Q1 = 1.71 kJ and Q2 = 1.22 Kj t = 0.295 s

Q: (a) A woman climbing the Washington Monument metabolizes 6.00×102 kJ of food energy. If her…

A: Given data: Energy, E=6.00×102kJ=6×105J Efficiency, η=18%=0.18

Q: A freezer with a coefficient of performance of 3.88 is used toconvert 1.75 kg of water to ice in one…

A: The formula to find the amount of heat removed is QC=mCwTw-T1+mLf+mCiceT1-Tice Here, m is the mass…

Q: A system efficiency 69%, must hit 10 kg of water from 20°C to 100°C within 30 minutes. If the…

A: Given: System Efficiency= 69% Temperature Difference, ∆T=100-20=80 Mass of water, m=10kg Specific…

Q: On a very hot day, could you cool your kitchen by leavingthe refrigerator door open?(a) Yes, but it…

A: Refrigerator door is open

Q: same rate as climbing 116 stairs per minute. Assuming your mass is 76.0 kg and your efficiency is…

A: Answer :- a) The expression to find the power generated in terms of efficiency is: As height of…

Q: A power plant operates with a heat-source reservoir at 350 and a heat-sink reservoir at 30 . It…

Q: (a) What is the efficiency (in percent) of a cyclical heat engine in which 30o.0 kJ of heat transfer…

A: Given: Amount of heat transfer to the environment = 30 KJ Amount of heat transfer to the engine = 50…

Question

A typical coal-fired power plant generates 1000 MW of usable
power at an overall thermal efficiency of 40%. (a) What is the rate
of heat input to the plant? (b) The plant burns anthracite coal, which has
a heat of combustion of 2.65 * 10^7 J/kg. How much coal does the plant
use per day, if it operates continuously? (c) At what rate is heat ejected
into the cool reservoir, which is the nearby river? (d) The river is at
18.0C before it reaches the power plant and 18.5C after it has received
the plant’s waste heat. Calculate the river’s flow rate, in cubic meters per
second. (e) By how much does the river’s entropy increase each second?

Expert Solution