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

Solution :

Step 1: Theoretical Basis of Intermolecular Forces in Alkanes

Alkanes are non-polar molecules held together primarily by weak London dispersion forces (also known as van der Waals forces). The magnitude of these forces is directly proportional to the surface area of contact between adjacent molecules. [Per the principles of London Dispersion Force theory].

Step 2: Geometric Analysis of Branching

As the degree of branching in an alkane chain increases, the molecule shifts from a linear, elongated geometry to a more compact, spherical shape. This geometric transformation significantly reduces the total surface area available for intermolecular contact.

Linear Structure (High Surface Area) Branched Structure (Low Surface Area)

Step 3: Correlation Between Structure, Dispersion Forces, and Boiling Point

Boiling point is defined as the temperature at which the vapor pressure of a liquid equals the external pressure. To transition from the liquid state to the gaseous state, sufficient kinetic energy must be supplied to overcome the intermolecular forces holding the molecules together.

Property Linear Alkane Branched Alkane
Molecular Geometry Elongated/Extended Compact/Spherical
Contact Surface Area High Low
Magnitude of van der Waals Forces Stronger Weaker
Boiling Point Higher Lower

Step 4: Conclusion of the Effect

Because branching reduces the contact surface area between molecules, the strength of the London dispersion forces decreases. Consequently, less thermal energy is required to overcome these forces in branched alkanes compared to their linear isomers of the same molecular mass. [By the kinetic molecular theory and van der Waals interactions].

Final Solution: The boiling point of an alkane decreases as the degree of branching increases due to the reduction in effective surface area and a corresponding decrease in the strength of London dispersion forces.


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