Given the following data 2 ClF(g)+O2(g) ⟶Cl2 O(g)+F2 O(g) ΔH =167.4 kJ 2 ClF3(g)+

step 1 So we have to calculate the delta age for the reaction CLF plus F2 to CLF3. So we're to use Hess

Given the following data 2 ClF(g)+O2(g) ⟶Cl2 O(g)+F2...

Given the following data $$ \begin{aligned} 2 \mathrm{ClF}(g)+\mathrm{O}_{2}(g) & \longrightarrow \mathrm{Cl}_{2} \mathrm{O}(g)+\mathrm{F}_{2} \mathrm{O}(g) & \Delta H &=167.4 \mathrm{~kJ} \\ 2 \mathrm{ClF}_{3}(g)+2 \mathrm{O}_{2}(g) & \longrightarrow \mathrm{Cl}_{2} \mathrm{O}(g)+3 \mathrm{~F}_{2} \mathrm{O}(g) & \Delta H &=341.4 \mathrm{~kJ} \\ 2 \mathrm{~F}_{2}(g)+\mathrm{O}_{2}(g) & \longrightarrow 2 \mathrm{~F}_{2} \mathrm{O}(g) & \Delta H &=-43.4 \mathrm{~kJ} \end{aligned} $$ calculate $\Delta H$ for the reaction $$ \mathrm{ClF}(g)+\mathrm{F}_{2}(g) \longrightarrow \mathrm{ClF}_{3}(g) $$

Given the following data
$$
\begin{aligned}
2 \mathrm{ClF}(g)+\mathrm{O}_{2}(g) & \longrightarrow \mathrm{Cl}_{2} \mathrm{O}(g)+\mathrm{F}_{2} \mathrm{O}(g) & \Delta H &=167.4 \mathrm{~kJ} \\
2 \mathrm{ClF}_{3}(g)+2 \mathrm{O}_{2}(g) & \longrightarrow \mathrm{Cl}_{2} \mathrm{O}(g)+3 \mathrm{~F}_{2} \mathrm{O}(g) & \Delta H &=341.4 \mathrm{~kJ} \\
2 \mathrm{~F}_{2}(g)+\mathrm{O}_{2}(g) & \longrightarrow 2 \mathrm{~F}_{2} \mathrm{O}(g) & \Delta H &=-43.4 \mathrm{~kJ}
\end{aligned}
$$
calculate $\Delta H$ for the reaction
$$
\mathrm{ClF}(g)+\mathrm{F}_{2}(g) \longrightarrow \mathrm{ClF}_{3}(g)
$$

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Key Concepts

Reaction Manipulation

Reaction manipulation involves reversing or scaling chemical equations, including their enthalpy values, to strategically combine them and cancel out intermediate species. This technique is crucial in applying Hess's Law, as it allows one to construct the target reaction from known reactions.

Hess's Law

Hess's Law states that the total enthalpy change for a reaction is the same regardless of the number of steps or the specific pathway taken, as long as the initial and final conditions are the same. This key principle allows for the calculation of unknown reaction enthalpies by algebraically combining other reactions with known enthalpy changes.

Thermochemical Equations

Thermochemical equations not only show the stoichiometry of a chemical reaction but also include the enthalpy change associated with the reaction. These equations are foundational in thermodynamics for tracking energy changes and applying Hess's Law to determine unknown reaction enthalpies.

Enthalpy Calculation

Enthalpy calculation in the context of thermochemistry involves summing the enthalpy changes of individual steps from a reaction pathway to determine the overall enthalpy change of a reaction. This process, relying on careful adjustment of coefficients and signs, is essential for deducing the energy profile of complex reactions.

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