What is the molar flow rate of C5H12 entering the furnace? What is the molar flo
ID: 1054724 • Letter: W
Question
What is the molar flow rate of C5H12 entering the furnace?
What is the molar flow rate of the theoretical air required for the complete combustion of the fuel?
What is the actual molar flow rate of air added to the furnace?
What is the volumetric flow rate of air added to the furnace in standard cubic feet per minute?
A mixture of fuel containing 0.510 mol CH4/mol, 0.330 mol C3H8/mol, and 0.160 mol C5H12/ml at 55.0°C and 129 kPa (gauge) enters a furnace at a rate of 72.0 L/min where it reacts with 14.2% excess air. Determine the volumetric flow rate of air to the furnace in SCFM (standard cubic feet per minute) by following the steps below. Assume that the gases behave ideally What is the molar flow rate of fuel entering the furnace? Number mol fuel/min What is the molar flow rate of CH4 entering the furnace? Number mol CH,/min What is the molar flow rate of C3Hs entering the furnace? Number mol C3H, / minExplanation / Answer
Temperature in K, T = 55+273= 329K, V= 72L/min and P= 129 Kpa ( gauge)= 129+101.3 =230.3 Kpa=230.3/101.3 =2.27 atm, R =0.0821 L.atm/mole.K
Numner of moles of fuel , n= PV/RT = 2.27*72/(0.0821*329) =6.05 moles/min
The fuel contains : CH4= 6.05*0.51=3.09 moles/min, C3H8= 0.33*6.05=2 moles/min, C5H12= 6.05-3.09-2 = .96 moles/min
The combustion reactions when balanced CH4+2O2-àCO2 + 2H2O, moles of oxygen required= 2times moles of CH4= 2*3.09= 6.18 moles
C3H8+ 5O2-à 3CO2 + 4H2O, moles of oxygen required = 5*2= 10 moles/min
C5H12+ 8O2---à 5CO2 + 6H2O, moles of oxygen required = 8*0.96= 7.68 moles/min
Total oxygen required = 6.18+10+7.68= 23.86 moles/min
Air contains 21% O2 and 79%N2, moles of Air to be supplied = 23.86/0.21 =113.62 moles/min
Air requried to be supplied =1.142*113.62=129.75 moles/min
1 mole of any substance at STP occupies 359 ft3
129.75 moles/min occupies 129.75*359 ft3/min=40528 ft3/min
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