Math Problem Statement
Given that ΔH°f [CO(g)] = –110.5 kJ/mol and ΔH°f [COCl2(g)] = –219.1 kJ/mol,
what is the standard enthalpy of reaction, ΔHrxn, for the synthesis of 1 mol phosgene, COCl2, from carbon monoxide, CO, and chlorine gas, Cl2(g)?
Select one:
–109 kJ
+111 kJ
+330 kJ
–219 kJ
–111 kJ
Solution
The standard enthalpy of reaction, , can be determined using the enthalpy of formation values:
Given data:
- kJ/mol
- kJ/mol
- kJ/mol (since it is in its elemental form)
Balanced reaction:
Applying the equation:
[ \Delta H_{\text{rxn}}^\circ = \left[ \Delta H_f^\circ \text{(COCl}_2\text{)} \right] - \left[ \Delta H_f^\circ \text{(CO)} + \Delta H_f^\circ \text{(Cl}_2\text{)} \right] ]
Answer:
The correct answer is –109 kJ.
Would you like further explanation on enthalpy calculations?
Here are some related questions for practice:
- How do you calculate the enthalpy of reaction when multiple moles of reactants are involved?
- Why is the enthalpy of formation of elemental substances in their standard state zero?
- What is Hess’s Law, and how does it help in determining reaction enthalpies?
- How does bond enthalpy relate to enthalpy of reaction?
- How does the enthalpy of reaction relate to spontaneity in chemical reactions?
Tip:
The enthalpy of formation values always refer to the formation of one mole of a compound from its elements in their standard states.
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Math Problem Analysis
Mathematical Concepts
Thermodynamics
Enthalpy of Formation
Standard Enthalpy of Reaction
Formulas
ΔHrxn = ΣΔHf(products) - ΣΔHf(reactants)
ΔHrxn = ΔHf(COCl2) - [ΔHf(CO) + ΔHf(Cl2)]
Theorems
Hess's Law
Suitable Grade Level
Grades 11-12