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# The heat of the combustion of carbon and carbon monoxide is ${ -393.5 }$ and ${ -283.5 }{ kJmol }^{ -1 }$ respectively. The heat of formation (in kJ) of carbon monoxide per mole is:A. ${ 676.5 }$B. ${ -676.5 }$C. ${ -110 }$D. ${ 110.5 }$

Last updated date: 13th Jun 2024
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Hint: Combustion means the burning of a substance. The heat of combustion is that the energy released as heat when a compound undergoes complete combustion with oxygen under standard conditions. The reaction is usually a hydrocarbon reacting with oxygen to make water, carbon dioxide, and heat.

Complete step by step solution:
The following reactions will take place and their heat of combustion are given below;
${ C+O }_{ 2 }{ \rightarrow CO }_{ 2 }{ ;\Delta H }_{ Comb. }{ =-393.5 }{ kJmol }^{ -1 }$..........(1)

${ CO+{ 1/2 }O }_{ 2 }{ \rightarrow CO }_{ 2 }{ ;\Delta H }_{ Comb. }{ =-283.5 }{ kJmol }^{ -1 }$............(2)

When we subtract equation (2) from equation (1), we get
${ C+{ 1/2 }O }_{ 2 }{ \rightarrow CO }$
= ${ -393.5 - (-283.5) }$
= ${ -393.5 + 283.5 }$
= ${ -110kJ }$.

Hence, the correct option is C.