Calcule la masa de propano, C3 H8(g), que se debe quemar para desprender la misma cantidad de en

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Calcule la masa de propano, C3 H8(g), que se debe quemar...

Calcule la masa de propano, $\mathrm{C}_3 \mathrm{H}_8(g)$, que se debe quemar para desprender la misma cantidad de energía que produce la fusión de $1.0 \mathrm{~g}$ de hidrógeno en la reacción de fusión siguiente: $$ 4{ }_1^1 \mathrm{H} \longrightarrow{ }_2^4 \mathrm{He}+2{ }_1^0 \mathrm{e} $$ Suponga que todos los productos de la combustión de $\mathrm{C}_3 \mathrm{H}_8$ están en fase gaseosa. Utilice los datos del ejercicio 21.48, del apéndice $\mathrm{C}$ y del interior de las cubiertas del texto.

Calcule la masa de propano, $\mathrm{C}_3 \mathrm{H}_8(g)$, que se debe quemar para desprender la misma cantidad de energía que produce la fusión de $1.0 \mathrm{~g}$ de hidrógeno en la reacción de fusión siguiente:
$$
4{ }_1^1 \mathrm{H} \longrightarrow{ }_2^4 \mathrm{He}+2{ }_1^0 \mathrm{e}
$$

Suponga que todos los productos de la combustión de $\mathrm{C}_3 \mathrm{H}_8$ están en fase gaseosa. Utilice los datos del ejercicio 21.48, del apéndice $\mathrm{C}$ y del interior de las cubiertas del texto.

Key Concepts

Nuclear Fusion Energy

This concept involves the energy released during the process of combining lighter atomic nuclei into a heavier nucleus. In the context of the question, the fusion of hydrogen into helium releases a significant amount of energy due to the difference in nuclear binding energies, which must be quantified and then compared with the energy released from a chemical reaction.

Chemical Reaction Energy (Combustion)

This refers to the energy output from a chemical reaction—in this case, the combustion of propane. The combustion reaction of propane in oxygen releases heat, and the energy per mole (or per gram) can be determined using standard enthalpy values, which is necessary for comparing with the energy from the fusion reaction.

Stoichiometry

Stoichiometry is the calculation of reactants and products in chemical reactions. It is used to correlate the amount of a substance (in moles or grams) with the energy produced during the reaction. In this problem, stoichiometric principles allow the conversion between the energy released during the fusion of hydrogen and the mass of propane needed to produce an equivalent amount of energy through combustion.

Molar Mass and Unit Conversions

This concept involves calculating the mole-to-mass relationships for the substances involved. Knowing the molar mass of propane and hydrogen, along with the appropriate conversion factors, is essential for expressing the energy equivalence in terms of mass and for ensuring that all quantities are compared in consistent units.

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