Lorsqu'on chauffe le trioxyde de soufre SO3, il se dissocie progressivement en dioxyde de soufre

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Lorsqu'on chauffe le trioxyde de soufre SO3, il se dissocie...

Lorsqu'on chauffe le trioxyde de soufre $\mathrm{SO}_3$, il se dissocie progressivement en dioxyde de soufre $\mathrm{SO}_2$ et dioxygène ; l'équation stoechiométrique de cette réaction s'écrit : $$ \mathrm{SO}_3(\mathrm{~g})=\mathrm{SO}_2(\mathrm{~g})+1 / 2 \mathrm{O}_2(\mathrm{~g}) $$ On place, à la température ordinaire, $7,14 \mathrm{~g}$ de $\mathrm{SO}_3$ dans une enceinte fermée dont le volume est 2 litres, et on porte la température à une valeur telle que $28 \%$ du SO 3 initial est dissocié. Quelle est la masse volumique du mélange gazeux présent dans l'enceinte à cette température?

Lorsqu'on chauffe le trioxyde de soufre $\mathrm{SO}_3$, il se dissocie progressivement en dioxyde de soufre $\mathrm{SO}_2$ et dioxygène ; l'équation stoechiométrique de cette réaction s'écrit :
$$
\mathrm{SO}_3(\mathrm{~g})=\mathrm{SO}_2(\mathrm{~g})+1 / 2 \mathrm{O}_2(\mathrm{~g})
$$

On place, à la température ordinaire, $7,14 \mathrm{~g}$ de $\mathrm{SO}_3$ dans une enceinte fermée dont le volume est 2 litres, et on porte la température à une valeur telle que $28 \%$ du SO 3 initial est dissocié.
Quelle est la masse volumique du mélange gazeux présent dans l'enceinte à cette température?

Key Concepts

Gas Mixture Density Calculation

Calculating the density of a gas mixture involves determining the total mass of all gases present and dividing by the volume of the container. This concept is essential for understanding how changes in the composition of a gas mixture, due to a reaction, can affect its physical properties, even though the total mass remains constant.

Mole Concept

The mole concept is fundamental in chemistry, providing a bridge between the mass of a substance and the number of particles present. By converting mass to moles using the substance's molar mass, chemists can apply the stoichiometric ratios from balanced equations to calculate the amounts of reactants and products.

Conservation of Mass

The principle of conservation of mass asserts that in a closed system, the total mass of the reactants is equal to the total mass of the products. This principle is critical in chemical reactions since it ensures that any calculations based on mass—such as determining gas density—are consistent, regardless of molecular rearrangements during the reaction.

Stoichiometry

Stoichiometry is the study of quantitative relationships in a chemical reaction as indicated by the balanced chemical equation. It involves using the coefficients in the reaction to convert between masses and moles of reactants and products, allowing for accurate prediction of the amounts of substances consumed and produced.

Reaction Extent

The reaction extent, often expressed as a percentage of conversion or dissociation, describes how far a chemical reaction proceeds relative to the initial amount of reactants. It is a crucial concept for determining the composition of a mixture at equilibrium or at any point during the reaction.

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