MCQ
Consider the following reaction

$C(s) + O_2(g) \to CO_2(g) + x\ kJ$

$CO(g) + \frac {1}{2}O_2(g) \to CO_2(g) + y\,kJ$

The heat of formation of $CO(g)$ is

  • A
    $-(x + y)\,kJ/mol$
  • B
    $(x - y)\,kJ/mol$
  • $(y - x)\,kJ/mol$
  • D
    None of these

Answer

Correct option: C.
$(y - x)\,kJ/mol$
c
$C(s) + {O_2}(g) \to C{O_2}(g)$

${{\Delta _{\text{r}}}{{\text{H}}_1} =  - {\text{x}}\,{\text{kJ}}/{\text{mol}}}......(1)$

${\text{CO}}({\text{g}}) + 1/2{{\text{O}}_2}({\text{g}}) \to {\text{C}}{{\text{O}}_2}({\text{g}})$

${\Delta _{\text{r}}}{{\text{H}}_2} =  - {\text{y}}\,{\text{kJ}}/{\text{mol}}......(2)$

Equation $(1) - (2)$

${\text{C}}({\text{s}}) + \frac{1}{2}{{\text{O}}_2}({\text{g}}) \to {\text{CO}}({\text{g}})$

${\Delta _f}H = (y - x)\,kJ/mol$

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