Consider the following mixture going into a water-gas shift reactor to make hydrogen for the hydrogen economy. CO, 630; H2O, 1130; CO2, 189; H2, 63...

1.    Consider the following mixture going into a water-gas shift reactor to make hydrogen for the hydrogen economy. CO, 630; H2O, 1130; CO2, 189; H2, 63 kmol/h. The gas is at 1 atm and 500 K. Use MATLAB and at least three iterations manually to compute the specific volume using

(a) ideal gas law

(b) Redlich-Kwong equation of state

(c) Redlich-Kwong-Soave equation of state.

The acentric factors for the RK-Soave method are: CO, 0.049; water, 0.344; CO2,

0.225; Hydrogen, −0.22.

Where did you get the other data you needed? How do the three answers compare? Is the gas ideal or not? Comment. Then redo the calculations for a pressure of 200 atm and comment on the results.

2.    Barron (1985) lists the specific volume of nitrogen at 5 MPa and 150 K as 0.116 m3/kmol. The gas constant in these units is 8317 Pa m3/kmol K.

(a) Use the Redlich-Kwong equation of state to calculate the specific volume and compare with this value. The critical constants for nitrogen are 126.2 K and 3.4 MPa.

(b) Do the same thing with the Redlich-Kwong-Soave equation of state. The acentric factor for nitrogen is 0.040. Is this molecule symmetric or asymmetric? Is the Soave version necessary?

(c) Barron (1985) gives the Dieterici equation of state for high pressures.

p(v − b) exp(a/vRT) = RT 

For nitrogen, a = 1.754 • 105 Pa m6/kmol2; b = 0.04182 m3/kmol. Compute the specific volume from this equation of state and compare with parts (a) and (b).