Find the change of mass (in grams) resulting from the...

Find the change of mass (in grams) resulting from the release of heat when $1 \mathrm{~mol} \mathrm{C}$ reacts with $1 \mathrm{~mol} \mathrm{O}_{2}$.
$$
\mathrm{C}(s)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{CO}_{2}(g) ; \Delta H=-393.5 \mathrm{~kJ}
$$

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Key Concepts

Unit Conversion in Energy Calculations

Accurate energy calculations often require converting between units, such as kilojoules to joules. This conversion is vital for applying equations like E=mc² correctly, ensuring that the units are consistent and the computed mass change is accurate.

Stoichiometry in Thermochemical Calculations

Stoichiometry involves using the quantitative relationships between reactants and products in a balanced chemical equation. It connects the amount of substance involved in the reaction to the energy change specified by the reaction enthalpy, thereby facilitating the link between chemical quantities and the corresponding energy released or absorbed.

Mass-Energy Equivalence

Mass-energy equivalence is the principle demonstrated by Einstein’s equation E=mc², which shows that energy and mass are interchangeable. In any process, including chemical reactions, a change in energy corresponds to a change in mass, although the effect is typically extremely small in chemical systems.

Reaction Enthalpy

Reaction enthalpy represents the total heat absorbed or released during a chemical reaction at constant pressure. This thermodynamic quantity is essential for determining the energy change associated with the reaction, serving as the starting point for calculations that relate energy change to mass change via E=mc².

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