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2.6.3Unit 2. Energetics, Group Chemistry, Halogenoalkanes and Alcohols

Maxwell-Boltzmann Distributions — IAL Edexcel Linear (Chemistry) Revision Notes & Topical Questions

5 min read 4 parts Lesson 39 of 53 Unit quiz

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Curriculum Equation Key قوانين الرقم الهيدروجيني والاتزان الأيوني - pH & Acid-Base Equilibrium FormulasFast Exam Solution
pH = -log[H⁺] | pOH = -log[OH⁻] | pH + pOH = 14 | [H⁺][OH⁻] = 10⁻¹⁴
Word Equation & Conditions: الرقم الهيدروجيني = -لوغاريتم تركيز أيون الهيدروجين | pH + pOH = 14
Location & Specifications: الاتزان الأيوني، كيمياء 3 ثانوي، التحصيلي، و AP Chemistry.
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Section 1 of 4Features of the Curve

The distribution graphs the number of molecules against their energy at a fixed temperature.

Shape
  • Shape The curve starts at the origin, rises to a peak and then tails off without touching the axis.
Origin
  • Origin It begins at the origin because no molecules have zero energy.
Peak
  • Peak The peak is the most probable energy, with only a few molecules at very low or very high energy.
Area
  • Area The area under the curve equals the total number of molecules, so it is constant for a given sample.
Activation energy
  • Activation energy A line marked at Eₐ divides the molecules that can react from those that cannot.

Section 2 of 4Effect of Raising the Temperature

1
At a higher temperature the peak moves to the right and becomes lower, because the energies are more spread out.
2
The total area under the curve stays the same because the number of molecules has not changed.
3
The curve is no longer symmetrical, with a longer tail at high energy.
4
The area to the right of Eₐ increases, so a greater proportion of molecules has enough energy to react.
5
More collisions are successful per second, so the rate of reaction increases.
6
Label the axes with energy on the x-axis and number of molecules with that energy on the y-axis.

Section 3 of 4Interpreting Questions

Interpreting Questions
Sketching
  • Sketching Draw both curves on the same axes, label them T₁ and T₂, and make the higher temperature curve lower and wider.
Explaining
  • Explaining State that the proportion of molecules above Eₐ rises, not just that molecules have more energy.
Common error
  • Common error Do not let the curves touch the x-axis at the high-energy end or cross the y-axis.
Link to rate
  • Link to rate A small temperature rise can give a large increase in rate because the tail is steep.
Typical error
  • Typical error A common slip is labelling the y-axis as energy;
    • it actually shows the number of molecules with each energy.

Section 4 of 4Exam Checklist & Tips

2.6.3 – Key Points for the Exam

  • Maxwell-Boltzmann distribution A curve showing how molecular energies are shared in a gas or liquid.
  • Activation energy The minimum energy needed for a successful collision.
  • Most probable energy The energy at the peak of the distribution curve.
  • Proportion The fraction of molecules with energy at or above a particular value.

Common Mistakes

  • Drawing the curve so that it touches the x-axis at high energy.
  • Saying the area under the curve increases at higher temperature.
  • Moving the peak up instead of lowering it for a higher temperature.
  • Claiming the activation energy decreases when temperature increases.

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