Carbon dioxide is becoming a serious atmospheric contaminant connected to rising
ID: 525153 • Letter: C
Question
Carbon dioxide is becoming a serious atmospheric contaminant connected to rising global temperatures. One solution is to capture the carbon dioxide and convert it back to useful forms. The first step in the process is the reduction of CO_2 with hydrogen for form carbon monoxide CO_2 (g) + H_2 (g) rightarrow CO(g) + H_2 O(l) (a) Show that this process is not spontaneous under standard conditions 25 degree C (b) At what temperature will this process be spontaneous under standard conditions. (c) Do you see a practical with proceeding with this process under standard conditions given your result from part (b)? Explain brieflyExplanation / Answer
dG = Gproducts - Greactants
dG = CO + H2O - (CO2 + H2)
dG = -137.16 + -237.2- ( -394.39 + 0)
dG = 20.03 kJ/mol
this is positive, so it will not go in the forward / spontaneous process
b)
find T so it is able to be spontaneous
dG = dH - T*dS
dH = (-110.5 + 285.8) - (-393.5 + 0) = 568.8 kJ/mol
dS = (197.9 + 69.9 ) - ( 213.8 + 130.5) = -76.5 J/K
now
dH - T*dS < 0
568.8 - T*(-76.5) < 0
This will never be spontaneous
c)
the problem is that this process is not likely to occur under these conditions