Question

In: Chemistry

A gas mixture at a total pressure of 144 kPa and 327 K contains 11% H2,...

A gas mixture at a total pressure of 144 kPa and 327 K contains 11% H2, 40% O2, and the rest H2O by volume. The absolute velocity of each species are −6, −3, and 12 m/s, respectively, all in the direction of the z-axis. Determine (a) the mass diffusion flux of O2 and (b) the molar diffusion flux of O2.

Solutions

Expert Solution

Total pressure   = 144kPa

Temperature     = 327K

Total volume    = 100 Kg moles of gas

Volume of H2   = 11mol

Volume of O2   = 40mol

Volume of H2 O = 100mol - ( 11mol + 40mol)     = 49mol

Molar flux for a specie X formula is

                       Nx = Cx Vx Where N is the molar flux, C is the molar concentration and V is the velocity

But C = moles of the gas / total volume

Molar concentration of O2      -     C = 40 / 100    = 0.4 Kg mol

Absolute velocity of O2    = 12m/s

So Molar diffusion flux of O2    No2 = 0.4 12 m/s   = 4.8 mol m / s

Mass diffusion flux formula for species X is    

                      nx = x Vx where n is the mass diffusion flux, is the mass concenteation and V is the velocity

But = mass of the element / volume

Mass of oxygen = 16

so for oxygen o2 = 16 / 100     = 0.16 Kg mol

So mass diffusion flus for oxygen     no2 = o2 Vo2 = 0.16 12 = 1.92 Kg mol m / s


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