How Much Coal Must Be Burned in a Steam Power Plant to Generate 900 MW?

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SUMMARY

The discussion centers on calculating the amount of coal required to generate 900 MW of power in a steam power plant using two steam engines. The first engine operates at 680°C and 430°C, while the second operates at 415°C and 280°C. The heat of combustion of coal is given as 2.8 x 108 J/kg, and the efficiency of the engines is 65% of the ideal Carnot efficiency. The final calculations indicate that approximately 116 kg of coal must be burned per second to achieve the desired power output.

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  • Familiarity with the principles of steam engines and heat transfer
  • Basic knowledge of power calculations (P = W/t)
  • Ability to convert temperatures between Celsius and Kelvin
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  • #31
ok i get 12.8

what were you saying about the first one not taking into account that it was .65 Carnot efficiency because I don't see how this is so
 
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  • #32
ideasrule said:
I'm getting tired of pointing out careless mistakes.

In the first post you said the power plant puts out 900 MW of power. Alright, great. In post #17 you used 500 MW. In the answer in post #20, it's 600 MW. I mean, what the heck?

Also, I'm disappointed at the answer in post #20. It's wrong, period. They took into consideration the fact that the second engine is 0.65 times the Carnot efficiency, but didn't do the same for the first. I mean, what the heck?

i don't see how

e (Carnot) = 1 - 703.16 K/953.16 K = .2623
e = .65 e Carnot = .65(.2633) = .1705

what am I doing wrong
 
  • #33
Sorry, my mistake. Ignore that comment; the answer's correct.
 
  • #34
Wait so then...

I got e_system to be .0217
because I did

e_system = e_first intersection e_second = .1705(.1275) = .0217

now

e_system = |W|/|Q_H|

Therefore

|Q_H|= |W|/e_system
= (900 MJ)/.0217
= 4.147 E 10 J
what am I doing wrong now
 
  • #35
So I got the wrong input heat and don't see why...
 
  • #36
please anyone
 
  • #37
OH. So this is what's happening.

The first engine spits out some work, which is part of the electricity generated. It also spits out waste heat, which is used to power the second engine. I thought the first engine's work was used to power the second engine; in fact, it's the waste heat.
 
  • #38
so what do i do
 

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