Steam turbines, maximum amount of work done?

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SUMMARY

The maximum work output of a steam turbine operating between an input temperature of 800°C and an exhaust temperature of 150°C can be calculated using the Carnot efficiency formula. The relationship established is W = 0.6Q, where Q represents the heat input. The maximum work is achieved under ideal conditions, specifically when the turbine operates as a Carnot engine, which assumes no energy losses.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically the Carnot cycle.
  • Familiarity with the concept of heat input (Q) in thermodynamic systems.
  • Knowledge of efficiency calculations in thermal engines.
  • Basic mathematical skills for manipulating equations.
NEXT STEPS
  • Study the Carnot cycle and its implications for thermal efficiency.
  • Learn about the first and second laws of thermodynamics as they apply to heat engines.
  • Explore the calculations for thermal efficiency in steam turbines.
  • Research real-world applications and limitations of steam turbine technology.
USEFUL FOR

Engineers, thermodynamics students, and professionals involved in energy systems and steam turbine design will benefit from this discussion.

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Steam turbines, maximum amount of work done?

Hi, having a little trouble with this problem, not entierly sure what formula to use, or what value to use for Q.

A steam turbine is operated ith an input temp of 800C and exhaust temp of 150C. What is the maximum amount of work the turbine can do for a given heat input Q? Under what conditions is the maximum achieved?

Thanks in advance
 
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have you tried thinking of the thing as a carnot engine?
 
yeh i have but that would just give me an answer with two undefined variables.

0.6Q=W

in the question it says 'for a given heat input Q' what does that mean exactly, could it mean pick a random value.

Thanks for your reply
 
it means just leave Q in your answer. you've already got it
 

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