For a particular isomer of C8H18, the following reaction produces 5108.7 kJ of heat per mole of C8H18(g) consumed, under standard conditions.

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To determine the heat of reaction for a particular isomer of C8H18, you need to know the reaction equation and the enthalpy change associated with the reaction. The heat of reaction, also known as the enthalpy change (∆H), is the amount of heat released or absorbed during a chemical reaction under standard conditions.

Since you mentioned that the reaction produces 5108.7 kJ of heat per mole of C8H18(g) consumed, we can assume that a combustion reaction of the isomer of C8H18 is taking place. Combustion reactions typically involve the combustion of a hydrocarbon with oxygen to produce carbon dioxide and water.

To find the specific reaction equation and the ∆H value, you would need access to the specific data source or reference that provides this information. This could be a chemical database or reference book, or it might be provided as part of a chemistry problem or experiment setup.

If you have access to such a source, you can look up the specific isomer of C8H18 and find the balanced combustion reaction equation, as well as the associated ∆H value. The ∆H value is usually provided in units of kJ/mol.

Once you have the balanced equation and the ∆H value, you can calculate the heat produced or consumed for a given amount of the isomer of C8H18. You can use stoichiometry to convert between moles of C8H18 and the heat produced or consumed.

Please note that without the specific reaction equation and ∆H value, I cannot provide a more detailed explanation or calculate the heat of reaction for you.