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# A typical coal-fired power plant generates 1000 MW of ## Problem 54P Chapter 20

University Physics | 13th Edition

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Problem 54P

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 X 107 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 18.0o C before it reaches the power plant and 18.5o C 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?

Step-by-Step Solution:

Solution 54P Step 1 of 5: a) Q = W so p = pW = 1000 MW = 2.5 × 10 MW H e H e 0.4 Step 2 of 5: 9 4 14 b)The heat input in one day is 2.5 × 10 × 8.64 × 10 = 2.16 × 10 J The mass of the coal used per day is 2.16×104 = 8.15 × 10 kg 2.65×10 J/kg Step 3 of 5: c)pH= 2.5 × 10 MW p = 1000 MW W | | | | |Q H|= W| |Q | C | |Q C| | H | | | so p = p p C H W 3 = 2.5 × 10 1000 = 1.5 × 10 MW

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