Find value of Q from following equations. (i) $\mathrm{C}_{(\mathrm{s})}+\mathrm{O}_{2(\mathrm{~g})}…
Find value of Q from following equations.
(i) $\mathrm{C}_{(\mathrm{s})}+\mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathrm{~g})} \Delta \mathrm{H}=\mathrm{QkJ}$
(ii) $\mathrm{C}_{(\mathrm{s})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathrm{~g})} \Delta \mathrm{H}=-\mathrm{xkJ}$
(iii) $\mathrm{C}_{(\mathrm{s})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathrm{~g})} \cdot \Delta \mathrm{H}=-\mathrm{ykJ}$
$-(x+y) k J$
$\quad(x-y) k J$
$\frac{-\mathrm{x}+\mathrm{y}}{2} \mathrm{~kJ}$
$\frac{\mathrm{x}+\mathrm{y}}{2} \mathrm{~kJ}$
Solution
(ii) $\mathrm{C}_{(\mathrm{s})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{(\mathrm{g})} \quad \Delta \mathrm{H}=-\mathrm{x}$
(iii) $\mathrm{CO}_{(\mathrm{g})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathrm{~g})} \quad \Delta \mathrm{H}=-\mathrm{y}$ Adding equations (ii) and (iii), we get the required equation;
(i) $\mathrm{C}_{(\mathrm{s})}+\mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathrm{~g})} \quad \Delta \mathrm{H}=\mathrm{Q}=-(\mathrm{x}+\mathrm{y}) \mathrm{kJ}$
[Note: The equation (ii) and (iii) from the question is modified to apply appropriate textual concepts.]