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Q. Calculate $\Delta H$ in $kJ$ for the following reaction
$C (g)+ O _{2}(g) \longrightarrow CO _{2}(g)$
Given that,
$H _{2} O (g)+ C (g) \longrightarrow CO (g)+ H _{2}(g);\Delta H=+131 \,kJ$
$CO (g)+\frac{1}{2} O _{2}(g) \longrightarrow CO _{2}(g);\Delta H=-282 \,kJ$
$H _{2}(g)+\frac{1}{2} O _{2}(g) \longrightarrow H _{2} O (g);\Delta H=-242 \,kJ$

EAMCETEAMCET 2008

Solution:

Given, $H _{2} O (g)+ C (g) \longrightarrow CO (g)+ H _{2}(g);\Delta H=131 \,kJ \,\,\,\ldots (i) $

$CO (g)+\frac{1}{2} O _{2}(g) \longrightarrow CO _{2}(g) ;\Delta H=-282 \,kJ \,\,\,\ldots (ii)$

$ H _{2}(g)+\frac{1}{2} O _{2}(g) \longrightarrow H _{2} O (g) ; \Delta H=-242\, kJ\,\,\, \ldots (iii)$

$C (g)+ O _{2}(g) \longrightarrow CO _{2}(g) ; \Delta H=?\,\,\, \ldots( iv )$

On adding Eqs (i), (ii) and (iii), we get Eq (iv)

$ H _{2} O (g)+ C (g) \longrightarrow CO (g)+ H _{2}(g) ; \Delta H=+131\, kJ $

$CO (g)+\frac{1}{2} O _{2}(g) \longrightarrow CO _{2}(g); \Delta H =-282 \,kJ $

$H _{2}(g)+\frac{1}{2} O _{2}(g) \longrightarrow H _{2} O (g);\Delta H=-242\, kJ$

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$ C (g)+ O _{2}(g) \longrightarrow CO _{2}(g) $

$ \Delta H =(131-282-242)\, kJ =-393\, kJ $