Q6: Solution:
According to the given information
Methane:
T = 25o C
P = 1 atm
Heating value of Methane H^ = 801.363 kJ/mol
Water:
T = 15 o C
P = 400 KPa = 3.96 atm
                                                                    T
                                                                                              kJ            kJ
                                                              H^ of + CpidT
                                                                                              mol           mol
Heating value of Water @ 15 oC H^ =                                 25           = -241.83           2.1         =
-243.93 kJ/mol
                                                                         kJ             kJ
Heating value of Water @ 180 oC H^ = -241.83                             mol    + 5.6   mol    = -236.23 kJ/mol
                                           2.5 mol steam
 Ratio before reformer=
                                            mol of CH 4
Applying energy balance for continuous process
                     H + Ek +  E p =QW shaft ,out
As there is no kinetic energy, potential work and shaft work taking place so neglecting these
terms reduce the equation to
Neglecting the terms
                                     E k ,  E p and W shaft,out
So the equation reduced to
  H =Q=  ni H^ i  ni H^ i
                      outlet       inlet                                                        Equation 1
So in the mixer two components are mixed so Heat of reaction for reaction 1 can be calculated
using
Finding the number of moles
 nCH           =          16.814
        4 ,in                        =0.27 mol/ s
                         2980.08206
 n H 2O,in =      3.940.0123
                               =0.0017 0 mol /s
                   2980.08206
At the outlet condition, we have:
 n H 2O,out       2.5 gmol of steam
                                     0.278 gmol of CH 4     = 0.696 gmol of steam/ s
                     gmol of CH 4                 
                                      s
 nCH 4, out       2.5 gmol of steam
                                     s   = 0.276 gmol of CH4/ s
                     gmol of CH 4                 
                     0.69 gm of steam
Substituting the values in Equation 1:
  H = (0.696 gmol of CH 4 * 801.63 kJ +0.276 gmol of H 20 243.93 kJ  -
                               S                gmol              s                     gmol
               gmol of CH 4          kJ    0.00170 gmol of H 20           kJ
(0.276                      801.63      +                      236.23      
                     S              gmol            s                    gmol
  H = Q = 277.36 kJ                 = 277 KW
                                   s
Q7: Solution:
Steam Reformer Power requirement
The reform data is given as
           Moles in        Hin             Moles out     Hout
CH4        1002.7          801.63          43.345        -
H20        2506.88         -236.514        1402.9176     -216.91
CO         0               -               814.85        -89.7
H2         0               -               3022.794      -361.2
CO2        0               -               144.561       19.8
Total 3509.64                              5428.4676
                                                        kJ               kJ
Heating value of Water @ 180 oC H^ = -241.83            mol      + 5.6   mol   = -236.23 kJ/mol
                                                        kJ               kJ
Heating value of Water @ 700 oC H^ = -241.83            mol      + 5.6   mol   = -236.514 kJ/mol
                                2.5 mol steam
 Ratio before reformer=
                                 mol of CH 4
Applying energy balance for continuous process
          H + Ek +  E p=QW shaft ,out
As there is no kinetic energy, potential work and shaft work taking place so neglecting these
terms reduce the equation to
Neglecting the terms
                          E k ,  E p and W shaft,out
So the equation reduced to
  H =Q=  ni H^ i  ni H^ i
           outlet       inlet                                              Equation 1
From the data we have calculated values of number of moles enthalpy
Substituting the values in equation 1
  H = (1402.916*-236.514+814.85*-89.7*3022.794*-361.2*144.561*19.8) -
(1002.756*801.63 + 2506.89*-236.23) = 685.8 KW