(b)
$C(s) + O_{2}(g) \rightarrow CO_{2}(g);\mathrm{\Delta}H = r$ …(i)
$CO(g) + \frac{1}{2}O_{2}(g) \rightarrow CO_{2}(g);\ \mathrm{\Delta}H = s$ …(ii)
$C(s) + \frac{1}{2}O_{2}(g) \rightarrow CO(g);\ \mathrm{\Delta}H = ?$
Subtract Eq. (ii) from Eq. (i)
$C(s) + O_{2}(g) \rightarrow CO_{2}(g);\mathrm{\Delta}H = r$
$CO(g) + \frac{1}{2}O_{2} \rightarrow CO_{2}(g);\ \mathrm{\Delta}H = s$
$\ - \ \ \ \ \ \ \ \ \ \ \ \ \ - \ \ \ \ \ \ \ \ \ \ \ - \ \ \ \ \ \ \ \ \ \ \ \ \ -$
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$C(s) + \frac{1}{2}O_{2}(g) \rightarrow CO(g);\ \mathrm{\Delta}H = r - s$