4.5 - Problem 5: Bond Enthalpies Estimate

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Introduction to Bond Enthalpies

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0:00
Teacher
Teacher

Good morning, class! Today we're diving into bond enthalpies. Who can tell me what bond enthalpy represents?

Student 1
Student 1

Isn't it the energy needed to break a bond?

Teacher
Teacher

That's correct! Specifically, bond enthalpy is the energy required to break one mole of a bond in a gas phase. Why do you think knowing this is important?

Student 2
Student 2

We can use it to calculate how much energy is involved in reactions?

Teacher
Teacher

Exactly! By estimating the enthalpy change of a reaction, we can determine if it's exothermic or endothermic. Remember the acronym 'BREAK' for Bond Energies to Remember Approximate Change in Kinetics. In this case, breaking bonds takes energy, while forming bonds releases energy.

Student 3
Student 3

So using average bond enthalpies will give us an approximate value?

Teacher
Teacher

Right! Letโ€™s proceed to how we estimate this change.

Calculating Energy Changes

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0:00
Teacher
Teacher

Now, letโ€™s calculate the energy change for the reaction we mentioned using acetylene and hydrogen. What is our formula for estimating ฮ”H?

Student 4
Student 4

ฮ”H_estimate = ฮฃ D(bonds broken) - ฮฃ D(bonds formed!

Teacher
Teacher

Exactly! For the reaction Cโ‚‚Hโ‚‚ + 2 Hโ‚‚ -> Cโ‚‚Hโ‚†, can anyone list the bonds we need to break?

Student 2
Student 2

We need to break one Cโ‰กC bond and two Hโ€“H bonds.

Teacher
Teacher

Correct! Now, could you calculate the total energy needed to break these bonds using the average bond enthalpies?

Student 1
Student 1

Breaking the Cโ‰กC bond costs 839 kJ and the Hโ€“H bonds cost 872 kJ total.

Teacher
Teacher

Great! Whatโ€™s the total for bonds broken?

Student 3
Student 3

So that would be 1,711 kJ.

Teacher
Teacher

Perfect! Now, let's find out the energy for forming the bonds in Cโ‚‚Hโ‚†!

Putting it Together

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0:00
Teacher
Teacher

Now that we have our energies calculated, what bonds do we form in Cโ‚‚Hโ‚†?

Student 4
Student 4

We form one Cโ€“C bond and four Cโ€“H bonds!

Teacher
Teacher

Exactly! Whatโ€™s the energy for forming these bonds, using the values provided?

Student 2
Student 2

That's 347 kJ for the Cโ€“C bond and 1,652 kJ for the Cโ€“H bonds.

Teacher
Teacher

Right! Letโ€™s sum those up. What does that bring you to?

Student 1
Student 1

That gives us 1,999 kJ.

Teacher
Teacher

Well done! Now, can someone remind me how we finalize ฮ”H?

Student 3
Student 3

ฮ”H_estimate = bonds broken - bonds formed = 1,711 kJ - 1,999 kJ.

Teacher
Teacher

Exactly! And what is our result?

Student 4
Student 4

ฮ”H_estimate is -288 kJ!

Teacher
Teacher

Fantastic work! This means itโ€™s an exothermic reaction, releasing energy during hydrogenation.

Introduction & Overview

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Quick Overview

This section focuses on using average bond enthalpies to estimate the enthalpy change of a reaction involving bond breaking and forming.

Standard

In this section, students learn how to estimate the enthalpy change (ฮ”H) for chemical reactions by utilizing average bond enthalpies. The process involves calculating the total energy required to break bonds in the reactants and the energy released when bonds are formed in the products.

Detailed

Bond Enthalpies Estimate

In this section, we explore how to estimate the enthalpy change (ฮ”H) of a chemical reaction by using average bond enthalpies. Bond enthalpy refers to the amount of energy required to break one mole of a specific bond in a gas-phase molecule. This principle is particularly useful when comparing the energy dynamics of reactants and products in a chemical reaction.

Key Points:

  1. Bonds Broken and Formed: To estimate ฮ”H, one must account for the total bond energies involved in the reaction:
  2. Total Energy to Break Bonds: The energy required to break all the bonds in the reactants.
  3. Total Energy Released from Forming Bonds: The energy released when new bonds are formed in the products.
  4. Estimating ฮ”H: The formula used is:
    $$\Delta H_{\text{estimate}} = \sum D_{\text{bonds broken}} - \sum D_{\text{bonds formed}}$$
    This equation illustrates that the estimated enthalpy change is the difference between the energy used to break bonds (positive values) and the energy released upon bond formation (negative contributions).
  5. Example Reaction: A common example includes the hydrogenation of acetylene (Cโ‚‚Hโ‚‚) into ethane (Cโ‚‚Hโ‚†).
  6. For acetylene, one Cโ‰กC triple bond and two Cโ€“H single bonds are broken.
  7. In the products, one Cโ€“C single bond and four new Cโ€“H bonds are formed.

Through this estimation method, we can understand the energy dynamics of reactions and predict whether they are exothermic (ฮ”H < 0) or endothermic (ฮ”H > 0).

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Calculating Total Energy Changes

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  1. Reactant Bonds to Break:
    โ—‹ Cโ‚‚Hโ‚‚ (acetylene) has one Cโ‰กC triple bond and two Cโ€“H bonds. But hydrogenation will break the Cโ‰กC into a Cโ€“C single bond and add Hโ€™s.
    More straightforward:
    โ€ข Break 1 Cโ‰กC bond: 839 kJ
    โ€ข Break 2 ร— Hโ€“H bonds (because 2 Hโ‚‚ molecules): 2 ร— 436 = 872 kJ
    Total bonds broken = 839 + 872 = 1,711 kJ.
  2. Product Bonds to Form:
    โ—‹ Cโ‚‚Hโ‚† (ethane) has one Cโ€“C bond and six Cโ€“H bonds. But the original Cโ‚‚Hโ‚‚ already has two Cโ€“H bonds; hydrogenation adds 4 new Cโ€“H bonds.
    So:
    โ€ข Form 1 Cโ€“C bond: 347 kJ
    โ€ข Form 4 new Cโ€“H bonds: 4 ร— 413 = 1,652 kJ
    Total bonds formed = 347 + 1,652 = 1,999 kJ.

Detailed Explanation

In this part, we break down the steps to calculate the total energy changes associated with breaking and forming bonds during the reaction:

Step 1: Identify Bonds Broken and Their Energies
We take account of the specific bonds in the reactants needed to be broken (Cโ‰กC and Hโ€“H).

Step 2: Calculate Energy for Bonds Broken
We aggregate the energies needed to break all bonds that are part of the reactants which equals a total of 1,711 kJ.

Step 3: Identify Bonds Formed and Their Energies
Here we check the bonds in the products we are creating (Cโ€“C and four Cโ€“H bonds), totaling up to 1,999 kJ.

Step 4: Combine Values for ฮ”H Estimate
Finally, we subtract the total energy of bonds formed from that of bonds broken: ฮ”H_estimate = Bonds broken - Bonds formed to get -288 kJ. This negative value indicates that the reaction is exothermic; energy is released, confirming the reaction is energetically favorable.

Examples & Analogies

This process of breaking and forming bonds can be likened to renovations in a house. You first have to โ€˜break downโ€™ or remove old elements like walls (akin to bond breaking), which takes effort and energy. But as you build new walls and install fresh features (bond forming), that results in a transformed space that is both useful and appealing, often providing a net gain in value or comfortโ€“reflecting the energy dynamics of reactions.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Bond Enthalpy: Energy required to break bonds in molecules.

  • ฮ”H Estimate: Calculated using the difference between bonds broken and formed.

  • Exothermic vs Endothermic: Understanding energy release or absorption through ฮ”H.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • Calculating the enthalpy change for the reaction: Cโ‚‚Hโ‚‚ + 2 Hโ‚‚ โ†’ Cโ‚‚Hโ‚† using bond enthalpies.

  • Comparing the estimated ฮ”H to known values to assess accuracy.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

๐ŸŽต Rhymes Time

  • To break a bond, think of the cost, Energy required, without it, weโ€™re lost!

๐Ÿ“– Fascinating Stories

  • Imagine a superhero trying to break a 'stronghold' (a bond); he uses energy to break in, but when he makes friends (forms bonds), they share power.

๐Ÿง  Other Memory Gems

  • Remember 'Broke-Five-Formed' to calculate ฮ”H: Energy to break bonds minus energy released when bonds form.

๐ŸŽฏ Super Acronyms

B.R.A.K.U. (Bonds, Required Energy, Added Energy, Kinetics Understood) helps you remember the process of estimating ฮ”H using bond enthalpies!

Flash Cards

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Glossary of Terms

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  • Term: Bond Enthalpy

    Definition:

    The energy required to break one mole of a specific bond in a molecule.

  • Term: Exothermic Reaction

    Definition:

    A reaction that releases heat, resulting in a negative enthalpy change (ฮ”H < 0).

  • Term: Endothermic Reaction

    Definition:

    A reaction that absorbs heat, leading to a positive enthalpy change (ฮ”H > 0).

  • Term: Average Bond Enthalpy

    Definition:

    The average energy required to break a bond in various environments.