How Does Kay's Rule Affect Gas Flow Calculations in Turbines?

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SUMMARY

This discussion focuses on applying Kay's Rule to estimate the inlet flow rate of gas to a turbine in a coal gasification process. The product gas composition is 60.0 mol% CO and 40.0 mol% H2, exiting the plant at 423.14 K and 2,000 psia. The gas expands to a boiler furnace at 373.15 K and 101.325 kPa, with a volumetric flow rate of 424.75 m³/min. The discussion also addresses the percentage error when using the ideal gas equation at the turbine inlet.

PREREQUISITES
  • Understanding of Kay's Rule for gas mixtures
  • Knowledge of gas behavior under varying temperature and pressure conditions
  • Familiarity with volumetric flow rate calculations
  • Basic principles of thermodynamics related to gas expansion
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  • Study Kay's Rule in detail and its application in gas flow calculations
  • Learn about the ideal gas law and its limitations in real-world applications
  • Research methods for calculating volumetric flow rates in gas systems
  • Explore thermodynamic properties of CO and H2 under varying conditions
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Engineers, process designers, and students involved in chemical engineering, particularly those focusing on gas flow calculations and thermodynamic processes in turbines and gasification plants.

Smitts
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Hi I was wondering if anyone could help me with this material balance/gas behaviour question.

"The product gas from a coal gasification plant consists of 60.0 mol% CO and the balance H2. It leaves the plant at 423.14 kelvins and 2,000 psia. The gas expands through a turbine and is fed to a boiler furnace at 373.15 kelvins and 101.325 kPa at a rate of 424.75 m3/min. Estimate the inlet flow rate to the turbine in m3/h, using Kay’s rule.
What percentage error would result from the use of the ideal gas equation at the turbine inlet? "

I have no idea how to start so any help would be much appreciated!
 
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To start, how about writing Kay's rule.

Also right the values given, such as temperature, pressure, volumetric flow rate, and gas composition. The determine the unknown value for which one is solving.
 

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