Problem Statement:

Its is supposed that the carbon deposit C$($s$)$ is produced according to these following reactions:

$2$CO$($g C$($s$)+$ CO$2($g$).....($C$)$

CH$4($g C$($s$)+2$H$2($g$).....($D$)$

Question $1-$ Determine the minimum S$/$C ratio $($mol$/$mol$)$ that can lead to carbon deposition from reaction C and$/$or D

Question $2-$ Determine which reaction from C or D that produces more carbon deposit, if any and if it happens

Assumptions:

a$.$ Reaction A and B always reach equilibrium

b$.$ The feed contains only methane and water vapor in gas phase

c$.$ Operating condition: $36\mathrm{.}5$ bar and $810$ C

Notes:

Attached is the equilibrium curve, I am able to retrieve all but one of the reactions $($please help finding the last k value for reaction A$)$

For the second reaction, ln$($k$)=0\mathrm{.}0842,$ k$=1\mathrm{.}08785$

For the third reaction, ln$($k$)=2\mathrm{.}2869,$ k$=9\mathrm{.}84437$

For the fourth reaction, ln$($k$)=-3\mathrm{.}0457,$ k$=0\mathrm{.}047563.$

NOTES: If you cannot answer the question, at least please attach the equilibrium chart that shows the k value for the first reaction $($steam reforming$).$ Just that and I will give thumbs up