The fuel mixer in a natural gas burner mixes methane (CH4) with air to form a combustible mixture at the outlet.
Determine the mass flow rates at the two inlets needed to produce 0.5 kg/s of an ideal combustion mixture at the outlet. Use data from the tables.

Respuesta :

Answer:

The mass flow rate of CHâ‚„ is 0.0275 kg/s and the mass flow rate of air is 0.4725 kg/s

Explanation:

The molar masses are equal to:

MCHâ‚„ = 16.043 kg/kmol

MNâ‚‚ = 28.01 kg/kmol

MOâ‚‚ = 32 kg/kmol

MHâ‚‚O = 18.01 kg/kmol

MCOâ‚‚ = 44.01 kg/kmol

The combustion reaction is:

CHâ‚„ + a(Oâ‚‚ + 3.76Nâ‚‚) = COâ‚‚ + 2Hâ‚‚O + 3.76aNâ‚‚

The Oâ‚‚ balance is:

a = 1 + 1 = 2

CHâ‚„ + 2(Oâ‚‚ + 3.76Nâ‚‚) = COâ‚‚ + 2Hâ‚‚O + 7.52Nâ‚‚

The masses of the reactants are equal to:

mCHâ‚„ = nCHâ‚„ * MCHâ‚„ = 1 * 16.043 = 16.043 kg

mOâ‚‚ = nOâ‚‚ * MOâ‚‚ = 2 * 32 = 64 kg

mNâ‚‚ = nNâ‚‚ * MNâ‚‚ = 2 * 3.76 * 28.01 = 210.64 kg

mtotal = 16.043 + 64 + 210.64 = 290.683 kg

The masses fractions are equal to:

mfCHâ‚„ = 16.043/290.683 = 0.055

mfOâ‚‚ = 64/290.683 = 0.22

mfNâ‚‚ = 210.64/290.683 = 0.724

The mass flow rates of the reactants are equal to:

mfrCHâ‚„ = 0.055 * 0.5 = 0.0275 kg/s

mfrair = 0.5 - 0.0275 = 0.4725 kg/s

good job