(a) Write a balanced chemical equation for the formation of 1 mol of Cr2 O3(s) from Cr and O2 in

step 1 Okay, so for this question, they want us to write the balanced equation for the formation of one

(a) Write a balanced chemical equation for the formation of...

(a) Write a balanced chemical equation for the formation of 1 mol of $\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{s})$ from $\mathrm{Cr}$ and $\mathrm{O}_{2}$ in their standard states. (Find the value for $\Delta_{i} H^{\circ}$ for $\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{s})$ in Appendix $\mathrm{L}$ ) (b) What is the standard enthalpy change if $2.4 \mathrm{g}$ of chromium is oxidized to $\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{s}) ?$

(a) Write a balanced chemical equation for the formation of 1 mol of $\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{s})$ from $\mathrm{Cr}$ and
$\mathrm{O}_{2}$ in their standard states. (Find the value for $\Delta_{i} H^{\circ}$ for $\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{s})$ in Appendix $\mathrm{L}$ )
(b) What is the standard enthalpy change if $2.4 \mathrm{g}$ of chromium is oxidized to $\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{s}) ?$

Key Concepts

Balanced Chemical Equations

This concept involves writing chemical reactions such that the number of atoms for each element is conserved on both the reactant and product sides. It is a crucial step in chemical analysis and thermochemistry to ensure that the law of conservation of mass is obeyed, and it provides the basis for further calculations including the determination of reaction enthalpies.

Standard Enthalpy of Formation

The standard enthalpy of formation is defined as the change in enthalpy when one mole of a compound is formed from its constituent elements in their standard states under standard conditions (usually 1 atm pressure and a specified temperature, often 25°C). It serves as a reference point for calculating the overall energy change in chemical reactions.

Stoichiometry in Thermochemical Calculations

This concept refers to the quantitative relationship between reactants and products in a chemical reaction. In the context of thermochemistry, stoichiometry allows the conversion between mass, moles, and energy by using mole ratios from the balanced chemical equation along with known values of enthalpy change, enabling precise calculation of energy transferred during a chemical process.

Standard States

Standard states refer to the most stable physical form of an element or compound at 1 atm pressure and a specified temperature (typically 25°C). This concept is critical in thermochemical calculations because it provides a consistent baseline from which properties such as the standard enthalpy of formation are defined.

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