Q.Arrange the following in decreasing order of their boiling points.
(A) n-butane
(B) 2-methylbutane
(C) n-pentane
(D) 2,2-dimethylpropane
(A) A > B > C > D
(B) B > C > D > A
(C) D > C > B > A
(D) C > B > D > A
Boiling points of alkanes depend on molecular size and branching — larger molecules have higher boiling points, and for the same number of carbons, more branching lowers the boiling point. The decreasing order is: n-pentane > 2-methylbutane > 2,2-dimethylpropane > n-butane, which corresponds to option (D).
The boiling point of an alkane is determined by the strength of intermolecular forces — specifically, London dispersion forces. These forces increase with molecular size (more electrons, larger surface area) and decrease with branching (more compact shape reduces surface contact between molecules). So the key idea is: more carbons → higher boiling point; same carbons → less branching → higher boiling point.
Let’s identify each compound and its carbon count:
- n-butane: 4 carbons, straight chain
- 2-methylbutane: 5 carbons, branched (one methyl group on carbon 2)
- n-pentane: 5 carbons, straight chain
- 2,2-dimethylpropane: 5 carbons, highly branched (two methyl groups on carbon 2)
So we have one C4 compound and three C5 isomers. The C5 compounds will all boil higher than the C4 one, because they have more electrons and stronger dispersion forces. Among the C5 isomers, the straight-chain n-pentane has the largest surface area, so it boils highest. 2-methylbutane is moderately branched, so it boils lower than n-pentane but higher than the highly branched 2,2-dimethylpropane (which is nearly spherical and has the least surface contact).
Now let’s work through the ordering step by step.
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Separate by carbon number. n-butane (C4) has the smallest molecule, so it will have the lowest boiling point of the four. The other three are all C5, so they will all be higher than n-butane. This already tells us that n-butane comes last in decreasing order.
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Compare the C5 isomers. For molecules with the same molecular formula, boiling point decreases as branching increases. n-pentane is unbranched — maximum surface area, strongest dispersion forces. 2-methylbutane has one branch, reducing surface area. 2,2-dimethylpropane has two branches on the same carbon, making it very compact — minimum surface area, weakest dispersion forces among the three.
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Establish the order among C5. So: n-pentane (highest) > 2-methylbutane > 2,2-dimethylpropane.
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Insert n-butane at the bottom. Since n-butane is C4, it boils lower than all C5 isomers. So the full decreasing order is: n-pentane > 2-methylbutane > 2,2-dimethylpropane > n-butane.
A common mistake is to think that more branching always means a higher boiling point (confusing with melting point trends, where branching can sometimes raise the melting point due to better packing in solids). For boiling points, branching always lowers the value because it reduces intermolecular contact in the liquid phase.
You can remember this as: "Straight chains stack well, branched chains stack poorly." For boiling points, think of how well the molecules can "touch" each other — more touching means more dispersion force, means higher boiling point.
Now match this order to the options given:
- (A) A > B > C > D → n-butane > 2-methylbutane > n-pentane > 2,2-dimethylpropane — wrong, because n-butane is lowest, not highest.
- (B) B > C > D > A → 2-methylbutane > n-pentane > 2,2-dimethylpropane > n-butane — wrong, because n-pentane should be above 2-methylbutane.
- (C) D > C > B > A → 2,2-dimethylpropane > n-pentane > 2-methylbutane > n-butane — wrong, because 2,2-dimethylpropane is the lowest among C5, not the highest.
- (D) C > B > D > A → n-pentane > 2-methylbutane > 2,2-dimethylpropane > n-butane — correct.
The correct option is (D).
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