Question $4(20$ marks$)$

$($a$)$ Nitrogen $\backslash (\backslash$left$(\backslash$mathrm$\{$N$\}\_\{2\}\backslash$right$)\backslash )$ in the air may dissociate to very reactive monatomic nitrogen N under high temperatures, leading to formation of NOx. Please calculate the percentage of $\backslash (\backslash$mathrm$\{$N$\}\_\{2\}\backslash )$ that dissociates to N in the reaction $\backslash (\backslash$mathbf$\{$N$\}\_\{\backslash$mathbf$\{2\}\}\backslash$rightarrow $\backslash$mathbf$\{2$ N$\}\backslash )$ at temperature and pressure of $3000$ K and $10500$ kPa $.$

$(8$ marks$)$

$($b$)$ Propose one method to reduce the formation of $\backslash (\backslash$mathrm$\{$NO$\}\_\{\backslash$mathrm$\{$x$\}\}\backslash )$ in IC engines with justification and explain its effect on engine performance.

$(4$ marks$)$

$($c$)$ Hydrogen fuel cells offer great promise to replace conventional IC engines. Based on the following data, please calculate the standard cell potential and determine if $1$ mol of $\backslash (\backslash$mathrm$\{$H$\}\_\{2\}\backslash )$ is consumed, what is the maximum amount electricity that can be produced. Given $\backslash ($ F$=96485\backslash$mathrm$\{$~mol$\}/\backslash$mathrm$\{$C$\}\backslash ).$

$(8$ marks$)$

Thermodynamic properties at $\backslash (1\backslash$mathrm$\{$~atm$\},298\backslash$mathrm$\{$~K$\}\backslash )$