Question

Public concern abut the increase in the carbon dioxide in the atmosphere has led to numerous proposals to sequester or eliminate the carbon dioxide. An inventor believes he has developed a new catalyst that can make the gas phase reaction $CO_2(g) + 4H_2(g) \rightarrow 2H_2O(g) + CH_4(g)$ processed with 40% conversion of CO2. The source of the hydrogen would be formed the electrolysis of water using electricity generated from solar cells. Assume that 1.5 mol of CO2 enter the reactor at 700°C together with 4 mol of H2 at 100°C. Determine the heat of reaction if the exit gases leaves at 1 atm and 500°C. [60 pts] (a) Draw and fully label a flow chart of the process. [10 pts] (b) Write down the material balances and solve those to find the related unknowns along with the extent of reaction. [10 pts] (c) Is the system open or closed? Please derive an energy balance for the given system at a steady-state. You need to start from the very beginning of the energy balance equation. Do not forget to mark all the assumptions and given conditions that used to reach the final equation. [10 pts] (d) Calculate the standard heat of reaction. Please provide the formula you used and the values for each term. [10 pts] (e) Please draw the hypothetical process path that you use to calculate the enthalpy change in the system. Specify values for each process. [15 pts] (f) Finally, provide the amount of heat transfer to/from the reactor. [5 pts]

          Public concern abut the increase in the carbon dioxide in the atmosphere has led to numerous proposals
to sequester or eliminate the carbon dioxide. An inventor believes he has developed a new catalyst that
can make the gas phase reaction
$CO_2(g) + 4H_2(g) \rightarrow 2H_2O(g) + CH_4(g)$
processed with 40% conversion of CO2. The source of the hydrogen would be formed the electrolysis of
water using electricity generated from solar cells. Assume that 1.5 mol of CO2 enter the reactor at 700°C
together with 4 mol of H2 at 100°C. Determine the heat of reaction if the exit gases leaves at 1 atm and
500°C. [60 pts]
(a) Draw and fully label a flow chart of the process. [10 pts]
(b) Write down the material balances and solve those to find the related unknowns along with the extent
of reaction. [10 pts]
(c) Is the system open or closed? Please derive an energy balance for the given system at a steady-state.
You need to start from the very beginning of the energy balance equation. Do not forget to mark all
the assumptions and given conditions that used to reach the final equation. [10 pts]
(d) Calculate the standard heat of reaction. Please provide the formula you used and the values for each
term. [10 pts]
(e) Please draw the hypothetical process path that you use to calculate the enthalpy change in the
system. Specify values for each process. [15 pts]
(f) Finally, provide the amount of heat transfer to/from the reactor. [5 pts]

Public concern abut the increase in the carbon dioxide in the atmosphere has led to numerous proposals
to sequester or eliminate the carbon dioxide. An inventor believes he has developed a new catalyst that
can make the gas phase reaction
CO2(g) + 4H2(g) → 2H2O(g) + CH4(g)
processed with 40% conversion of CO2. The source of the hydrogen would be formed the electrolysis of
water using electricity generated from solar cells. Assume that 1.5 mol of CO2 enter the reactor at 700°C
together with 4 mol of H2 at 100°C. Determine the heat of reaction if the exit gases leaves at 1 atm and
500°C. [60 pts]
(a) Draw and fully label a flow chart of the process. [10 pts]
(b) Write down the material balances and solve those to find the related unknowns along with the extent
of reaction. [10 pts]
(c) Is the system open or closed? Please derive an energy balance for the given system at a steady-state.
You need to start from the very beginning of the energy balance equation. Do not forget to mark all
the assumptions and given conditions that used to reach the final equation. [10 pts]
(d) Calculate the standard heat of reaction. Please provide the formula you used and the values for each
term. [10 pts]
(e) Please draw the hypothetical process path that you use to calculate the enthalpy change in the
system. Specify values for each process. [15 pts]
(f) Finally, provide the amount of heat transfer to/from the reactor. [5 pts]

Added by Eva H.

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