Determine the standard enthalpy of formation (in kJ/mol) of calcium carbonate (\DeltaΔHf°) from the thermochemical equations given below. Ca(OH)2(s) \longrightarrow⟶ CaO(s) + H2O(l) \DeltaΔH° = 65.2 kJ/mol-rxn Ca(OH)2(s) + CO2(g) \longrightarrow⟶ CaCO3(s) + H2O(l) \DeltaΔH° = -113.8 kJ/mol-rxn C(s) + O2(g) \longrightarrow⟶CO2(g) \DeltaΔH° = -393.5 kJ/mol-rxn 2 Ca(s) + O2(g) \longrightarrow⟶ 2 CaO(s) \DeltaΔH° = -1270.2 kJ/mol-rxn

Respuesta :

Answer:

The standard enthalpy of formation of 1 mol of calcium carbonate is -1207.6 kJ/mol.

Explanation:

[tex]Ca(OH)_2(s) \rightarrow CaO(s) + H_2O(l) \Delta H^o = 65.2 kJ/mol[/tex]..[1]

[tex]Ca(OH)_2(s) + CO_2(g) \rightarrow CaCO_3(s) + H_2O(l) \Delta H^o = -113.8 kJ/mol [/tex]...[2]

[tex]C(s) + O_2(g) \rightarrow CO_2(g). \Delta H^o = -393.5 kJ/mol [/tex]..[3]

[tex]2 Ca(s) + O_2(g) \rightarrow 2 CaO(s). \Delta H^o = -1270.2 kJ/mol [/tex]..[4]

[tex]2Ca(s)+2C(s)+3O_2(g)\rightarrow 2CaCO_3(s),\Delta H^{o}_f = ?[/tex]...[5]

2× [2] + 2 × [3] + [4] - 2 × [1] = [5] (Hess's law)

[tex]\Delta H^{o}_f=2\times (-113.8 kJ/mol)+2\times (-393.5 kJ/mol)+(-1270.2 kJ/mol)-2\times (65.2 kJ/mol)[/tex]

[tex]\Delta H^{o}_f=-2,415.2 kJ/mol[/tex]

The standard enthalpy of formation of 2 mol of calcium carbonate is -2,415.2 kJ/mol.

The standard enthalpy of formation of 1 mol of calcium carbonate :

[tex]\frac{-2,415.2 kJ/mol}{2}= -1207.6 kJ/mol[/tex]

The study of chemicals and bonds is called chemistry. There are two types of elements and these are metals and nonmetals

The correct answer is -1207.6kj/mole.

What is enthalpy?

  • Enthalpy a property of a thermodynamic system, is the sum of the system's internal energy and the product of its pressure and volume.
  • It is a state function used in many measurements in chemical, biological, and physical systems at a constant pressure, which is conveniently provided by the large ambient atmosphere.

According to the question,  the Hf will be:-

[tex]2*(-113.8)+2*(393.5)+(-1270.2)-2(65.2)[/tex]

The hf will be -2415.2kj

The standard enthalpy of formation of 2 moles of calcium carbonate is -2,415.2 kJ/mol.

The standard enthalpy of formation of 1 mole of calcium carbonate:

[tex]\frac{-2415}{2} \\= -1207.9kj[/tex]

Hence, the correct answer to -1207.9kj.

For more information about the hf, refer to the link:-

https://brainly.com/question/7932885