Q:

$1$a$)$ The FeO powder was put in the system which contains carbon and CO$/$CO$2$ mixture by such a way that there is no direct contact between carbon and FeO. $1$ai$)$ Estimate the possibility of reduction of Fe at pressure $1$ Bar. Make sure to show all the steps and ensure they are well explained! $1$aii$)$ Estimate the pressure, which correspond to beginning of the reduction process at $950$K$.$ calculate the pressure with the use of thermodynamic tables. Make sure to show all the steps and ensure they are well explained! $1$b$)$ Analyze the dependence of the equilibrium state on temperature, pressure and amount of C and Fe in the system. Make sure to show all the steps and ensure they are well explained! $2\mathrm{.}1$ The $(0\mathrm{.}001-0\mathrm{.}01)\%$ of Ce $($Zr$)$ was add to the $0\mathrm{.}1\%$C steel at temperature $1650$K$.$ Estimate the concentration of the oxygen in the steel in equilibrium $($take any concentration of Ce or Zr$).$ Make sure to show all the steps and ensure they are well explained! $2\mathrm{.}2$ The $(1-3)\%$ of Ti was added to the Fe which is in N$2$ atmosphere at temperature $1650$ K and pressure $0\mathrm{.}05$ bar. Is the formation of TiN possible? Make sure to show all the steps and ensure they are well explained! What is the dependence of the result on temperature, pressure, amount of Ti concentration? Make sure your answer is well explained!

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