The average bond energy (enthalpy) for a C=C double bond is 614 kJ/mol and that of a C−C single bond is 348 kJ/mol. Estimate the energy needed to break only the π bond of the double bond of 2-butene. Express your answer numerically in joules per molecule.

Respuesta :

The energy needed to break the pi bond in Joules per molecule is;

E = 4.42 × 10^(-22) J/molecule.

According to the question,

  • The average bond energy (enthalpy) for a C=C double bond is 614 kJ/mol

  • That of a C−C single bond is 348 kJ/mol.

However, we must note that a double bond is made up of a pi-bond and a sigma-bond.

On the other hand, a single bond is made up of a sigma-bond.

Consequently, the energy needed to break the pi bond is given as;

  • E = 614 kJ/mol - 348 kJ/mol

  • E = 266 kJ/mol

However, the question requires that we express the energy in Joules per molecule.

According to Avogadro; there are 6.02 × 10²³ molecules in one mole of any substance;

Therefore, the energy needed to break the pi bond in Joules per molecule is;

  • E = 266/6.02 × 10²³

E = 4.42 × 10^(-22) J/molecule.

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Bond energy or enthalpy is defined as the change in the heat content of the reaction. The energy needed to break the pi bonds in Joules per molecule is E= [tex]4.42 \times 10^{-22} \text{J/molecule}[/tex].

Given that,

Enthalpy for C=C bond = 614 kJ/mol

Enthalpy for C-C bond  = 348 kJ/mol

  • Sigma bonds are the single bonds, which are formed by the head to head overlapping of orbitals.
  • Pi bonds are double or triple bonds that are formed by the perpendicular overlapping of orbitals along the axis of single bonds.

Energy required to break the pi bond will be:

E = 614 kJ/mol - 348 kJ/mol

E = 266 kJ/mol

Also, in one mole of a substance:

1 mole  = 6.022 x [tex]10^{23}[/tex]

The energy needed to break the pi bonds in Joules per molecule is:

[tex]\text {E}&=\dfrac{266}{6.022 \times 10^{23}}\\\\\text {E}&=4.42\times 10^{23}} \text{J/molecule}[/tex]

Therefore, the energy needed to break the pi bond in Joules per molecule is 4.42 x [tex]10^{-22}[/tex] J/molecule.

To know more about bond energy, refer to the following link:

https://brainly.com/question/14299954?referrer=searchResults