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The product gas from a coal gasification plant consists of 60.0 mole% CO and the balance
Chapter 5, Problem 5.98(choose chapter or problem)
The product gas from a coal gasification plant consists of 60.0 mole% CO and the balance \(\mathrm{H}_{2}\); it leaves the plant at \(150^{\circ} \mathrm{C}\) and 135 bar absolute. The gas expands through a turbine, and the outlet gas from the turbine is fed to a boiler furnace at \(100^{\circ} \mathrm{C}\) and 1 atm at a rate of \(425 \mathrm{~m}^{3} / \mathrm{min}\). Estimate the inlet flow rate to the turbine in \(\mathrm{ft}^{3} / \mathrm{min}\), using Kay’s rule. What percentage error would result from the use of the ideal-gas equation of state at the turbine inlet?
Questions & Answers
QUESTION:
The product gas from a coal gasification plant consists of 60.0 mole% CO and the balance \(\mathrm{H}_{2}\); it leaves the plant at \(150^{\circ} \mathrm{C}\) and 135 bar absolute. The gas expands through a turbine, and the outlet gas from the turbine is fed to a boiler furnace at \(100^{\circ} \mathrm{C}\) and 1 atm at a rate of \(425 \mathrm{~m}^{3} / \mathrm{min}\). Estimate the inlet flow rate to the turbine in \(\mathrm{ft}^{3} / \mathrm{min}\), using Kay’s rule. What percentage error would result from the use of the ideal-gas equation of state at the turbine inlet?
ANSWER:Step 1 of 3
Given:
\(\begin{array}{ll}
\mathrm{T}_{1}=150^{\circ} \mathrm{C} & \mathrm{T}_{2}=100^{\circ} \mathrm{C} \\
\mathrm{P}_{1}=135 \mathrm{bar}=1958.01 \mathrm{psia} & \mathrm{P}_{2}=1 \mathrm{~atm}=14.69 \mathrm{psia} \\
\mathrm{V}_{1}=? & \mathrm{~V}_{2}=425 \mathrm{~m}^{3} / \mathrm{min}=15,000 \mathrm{ft}^{3} / \mathrm{min}
\end{array}\)
\(\begin{array}{l}\text{Amount of } \mathrm{CO}=60.0 \text{ mole } \%\\
\text{Amount of } \mathrm{H}_{2}=40 \%\end{array}\)