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Calculate the Lattice Enthalpy of Potassium Chloride Given the Following

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Calculate the lattice enthalpy of potassium chloride given the following enthalpy data.
K(s)K(g)+89 kJmol1 K( g)K+(g)+e+418 kJmol11/2Cl2( g)Cl(g)+122 kJmol1Cl(g)eCl(g)349 kJmol1 K( s)+1/2Cl2( g)KCl(s)437 kJmol1\begin{array} { l l } \mathrm { K } ( \mathrm { s } ) \rightarrow \mathrm { K } ( \mathrm { g } ) & + 89 \mathrm {~kJ} \cdot \mathrm { mol } ^ { - 1 } \\\mathrm {~K} ( \mathrm {~g} ) \rightarrow \mathrm { K } ^ { + } ( \mathrm { g } ) + \mathrm { e } ^ { - } & + 418 \mathrm {~kJ} \cdot \mathrm { mol } ^ { - 1 } \\1 / 2 \mathrm { Cl } _ { 2 } ( \mathrm {~g} ) \rightarrow \mathrm { Cl } ( \mathrm { g } ) & + 122 \mathrm {~kJ} \cdot \mathrm { mol } ^ { - 1 } \\\mathrm { Cl } ( \mathrm { g } ) \mathrm { e } ^ { - } \rightarrow \mathrm { Cl } ^ { - } ( \mathrm { g } ) & - 349 \mathrm {~kJ} \cdot \mathrm { mol } ^ { - 1 } \\\mathrm {~K} ( \mathrm {~s} ) + 1 / 2 \mathrm { Cl } _ { 2 } ( \mathrm {~g} ) \rightarrow \mathrm { KCl } ( \mathrm { s } ) & - 437 \mathrm {~kJ} \cdot \mathrm { mol } ^ { - 1 }\end{array}


Definitions:

Overhead Cost

Expenses that are not directly tied to production activities, such as rent, utilities, and general office expenses.

Machine Hours

A measure of production time where costs are allocated to products based on the number of hours machines are used in their manufacturing.

Actual Costing

A costing method that assigns actual costs of direct materials, direct labor, and overhead to products, instead of using estimated or standard costs.

Activity-Based Budgeting (ABB)

A method of budgeting where activities that incur costs in every function of an organization are recorded, analyzed and researched.

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