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

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Kay's Rule is used to estimate the gas flow rates in turbines by considering the properties of the gas mixture. In this scenario, the product gas consists of 60% CO and 40% H2, and it exits the gasification plant at specific temperature and pressure conditions. To find the inlet flow rate to the turbine in m³/h, one must convert the volumetric flow rate from m³/min and apply Kay's Rule to account for the gas mixture's behavior. Additionally, the percentage error from using the ideal gas equation at the turbine inlet can be calculated by comparing the results from Kay's Rule with those obtained from the ideal gas law. Understanding these calculations is essential for accurate gas flow assessments in turbine operations.
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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