2. Natural gas containing a mixture of methane, ethane, propane, and butane is burned in a...
2. Natural gas containing a mixture of methane, ethane, propane, and butane is burned in a furnace with excess air. One hundred kmol/h of a gas containing 94.4 mole% methane, 3.40% ethane, 0.60% propane, and 0.50% butane is to be burned with 17% excess air.
a) Calculate the molar flow rate of the air.
b) Now instead of using numerical values, we will work the problem by deriving an equation. Define the following variables:
i.molar flow of the fuel gas: ṅf (kmol/h)
ii. respective mole fractions of methane, ethane, propane, and butane in the fuel: x1,x2,x3, and x4.
iii.percent excess air: Pxs
iv.molar flow rate of air fed to the furnace: ṅa(kmol/h)
Derive an expression for ṅa in terms of the other variables.
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