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Q9.15:
What effect does branching of an alkane chain has on its boiling point?

Solution :

Theoretical Foundation: Intermolecular Forces in Alkanes

The boiling point of an alkane is primarily governed by the magnitude of London dispersion forces (van der Waals forces) acting between its molecules. These forces are dependent on two critical factors: the total surface area of the molecule and the efficacy of molecular packing.

Step 1: Analysis of Surface Area and Molecular Shape

As the degree of branching in an alkane chain increases, the molecule shifts from a linear, elongated geometry to a more compact, spherical geometry. For isomers with the same molecular formula ($C_nH_{2n+2}$), the following physical logic applies:

  • Linear Alkanes: Possess a larger surface area, allowing for greater contact between adjacent molecules [Per the principles of Molecular Geometry and London Dispersion Forces].
  • Branched Alkanes: Possess a reduced surface area due to their compact, spherical shape, which minimizes the contact surface available for intermolecular attraction.

Step 2: Graphical Representation of Molecular Interaction

n-Pentane (Linear) Neopentane (Branched) Reduced Surface Area

Step 3: Correlation with Boiling Point

The boiling point ($T_b$) is proportional to the strength of intermolecular forces. Since London dispersion forces are weaker in branched structures due to the decreased surface area of contact, less energy (thermal kinetic energy) is required to overcome these forces to transition the substance from a liquid phase to a gas phase.

Alkane (Isomers of $C_5H_{12}$) Structure Type Boiling Point (K)
n-Pentane Linear 309.1 K
Isopentane Slightly Branched 301.0 K
Neopentane Highly Branched 282.5 K

Analytical Conclusion

The branching of an alkane chain leads to a decrease in its boiling point. The structural modification results in a more spherical shape, which decreases the effective surface area for van der Waals interactions between individual molecules [Based on Kinetic Molecular Theory]. Consequently, the intermolecular attractions are weakened, facilitating vaporization at lower temperatures.

Final Solution: The boiling point of an alkane decreases as the degree of branching increases because branching reduces the surface area of the molecule, thereby decreasing the strength of the intermolecular London dispersion forces.


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