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Suppose the feed to a continuous reactor for ammonia synthesis consists of 100 mol/s of nitrogen,...

Suppose the feed to a continuous reactor for ammonia synthesis consists of 100 mol/s of nitrogen, 300 mol.s-1 of hydrogen, and 1 mol/s of argon. For a fractional hydrogen conversion of 0.6, calculate the outlet flow rate of hydrogen, the extent of reaction, and the outlet flow rates of nitrogen and ammonia.

N2+3H2=2NH3

Solutions

Expert Solution

Reaction: N2+3H2=2NH3

where NH3 is the Molar flow rate of ammonia at exit

N2, H2 and Ar is the Molar flow rates of nitrogen, hydrogen and argon, respectively at the exit

Molar flow rate at exit can be expressed in terms of extent of reaction as

where i0 and i is the Molar flow rate at inlet and outlet, respectively

is the Extent of reaction

v is the stoichiometric coefficient. It is positive for products and negative for reactants.

The outlet flow rates are

For a fractional hydrogen conversion, f=0.6, the fraction of H2 unreacted is 1-f=1-0.6=0.4.

Thus the molar flow rate of H2 at exit, H2, is

Substitute the value of  H2 in Equation 3

Substitute the value of   in Equation 1

Substitute the value of   in Equation 2

Thus the outlet flow rate of hydrogen is H2=120 mol/s, extent of reaction is =60 mol/s, outlet flow rate of nitrogen is N2=40 mol/s and outlet flow rate of ammonia is NH3=120 mol/s

Amanda K answered 2 years ago
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