Q.Explain why (CH3)3C+ is more stable than CH3CH2+ and CH3+ is the least stable cation?

The most stable carbocation among the given options is the tertiary (CH3)3C+ cation.

Carbocation stability order is: tertiary (3°) > secondary (2°) > primary (1°) > methyl. This is because alkyl groups are electron-releasing (+I effect) and also provide more C-H bonds adjacent to the empty p-orbital for hyperconjugation (no-bond resonance) — both effects push electron density toward the positively charged carbon, spreading out (stabilising) the positive charge. More alkyl groups attached to the cationic carbon means more stabilisation.

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The tert-butyl (3°) carbocation is the most stable.

A carbocation is stabilised by electron-donating alkyl groups through the +I (inductive) effect and hyperconjugation. More alkyl groups on the positive carbon give greater stability. Order: methyl (CH3+) < 1° (CH3CH2 …

(CH3)3C+, a tertiary carbocation, is the most stable of the four.

Carbocation stability order is: tertiary > secondary > primary > methyl, because more alkyl groups around the positive carbon donate electron density through both the inductive effect (+I) and hyperconjugation (delocalisation via adjacent C-H sigma bonds), spreading out and stabilising the positive charge.

• CH3+ (methyl cation) — least stable, no alkyl groups. …

The order of carbocation stability is 3° > 2° > 1° > methyl, because more alkyl groups around the electron-deficient carbon donate electron density (through the inductive +I effect and hyperconjugation) and better disperse the positive charge. Option (a), the tert-butyl cation, is tertiary and hence the most stable.

Stability of a carbocation depends on how well the positive charge on carbon is stabilised by neighbouring groups:

• Alkyl groups are electron-releasing (+I effect) and also stabilise the cation through hyperconjugation (donation of electron density from adjacent C-H sigma bonds into the empty p-orbital on the cationic carbon).
• More alkyl groups attached to the cationic carbon means more such stabilisation, so stability order is: 3° (tertiary) > 2° (secondary) > 1° (primary) > CH3+ (methyl).

Checking each option:

1. (CH3)3C+ — three CH3 groups attached, tertiary carbocation (tert-butyl cation) — most stabilised.
2. (CH3)2CH+ — two CH3 groups and one H, secondary carbocation (isopropyl cation). …

Among the given carbocations, (CH3)3C^+ (the tert-butyl cation) is the most stable because it is tertiary — three electron-donating methyl groups are directly attached to the positively charged carbon.

Carbocation stability order is: tertiary (3 degree) > secondary (2 degree) > primary (1 degree) > methyl. This is because alkyl groups attached to the electron-deficient carbon stabilise the positive charge in two ways:

1. +I (inductive) effect — alkyl groups push electron density towards the positively charged carbon, partially neutralising the charge.
2. Hyperconjugation — adjacent C-H sigma bonds can donate electron density into the empty p-orbital of the carbocation; more alkyl groups means more such C-H bonds (more "no-bond resonance" structures) available to stabilise the cation.

Checking each option:

• (CH3)3C-CH2^+ (option a): the positive charge is on a primary carbon (CH2^+) even though a bulky tert-butyl group is nearby — it's a primary (neopentyl-type) cation, not very stable. …

A carbocation is stabilised by anything that delocalises its positive charge. Ph3C+ has three phenyl rings, each able to donate electron density into the empty p-orbital on the cationic carbon through resonance, spreading the positive charge over many ring carbons -- far more stabilisation than simple alkyl hyperconjugation/induction can provide.

Comparing the four carbocations:

• (CH3)2CH+ -- a secondary alkyl cation, stabilised only by hyperconjugation and the +I effect of two methyl groups.
• Ph3C+ (triphenylmethyl / trityl cation) -- a tertiary carbon bonded to three phenyl rings; each ring can delocalise the positive charge through its pi system by resonance, giving many resonance structures and very large stabilisation. …

Carbocation stability order is tertiary > secondary > primary, because more attached alkyl groups donate electron density (inductive +I effect) and provide more hyperconjugative C-H bonds to stabilise the positive charge. (CH3)3C+ is a tertiary carbocation, the most stable of the four options.

Check each option's classification (by how many carbons are directly attached to the positively charged carbon):

• (a) (CH3)3C-CH2+: the + charge is on a CH2 carbon attached to only ONE other carbon — a PRIMARY carbocation (neopentyl-type), among the least stable, despite the bulky attached group.
• (b) (CH3)3C+: the + charge is on a carbon attached to THREE methyl carbons — a TERTIARY carbocation, the most stable class, from hyperconjugation across 9 available C-H bonds on the 3 methyls plus +I inductive donation from all three alkyl groups. …

More alkyl groups on the positively charged carbon = more electron-donation and more hyperconjugation = more stability -- so stability order is methyl < 1 degree < 2 degree < 3 degree.

Carbocation stability depends on how well the positive charge on carbon is stabilised by neighbouring groups. Alkyl groups stabilise a carbocation through:

1. The positive inductive (+I) effect -- alkyl groups push electron density towards the electron-deficient carbon.
2. Hyperconjugation -- more adjacent C-H bonds can donate electron density into the empty p-orbital on the cationic carbon.

Ranking the four species by how many alkyl groups are attached to the positive carbon:

• CH3+ (methyl cation): 0 alkyl groups -- least stable. …

Carbocation stability order is tertiary > secondary > primary > methyl; option (B), the tertiary (CH3)3C+ cation, is the most stable.

A carbocation is stabilised by electron-donating alkyl groups attached to the positively charged carbon, through two effects:

1. The +I (positive inductive) effect: alkyl groups push electron density towards the electron-deficient, positively charged carbon, partially neutralising the charge.
2. Hyperconjugation: adjacent C-H sigma bonds can donate electron density into the empty p-orbital of the carbocation, delocalising and stabilising the positive charge. More alkyl groups means more C-H bonds available for hyperconjugation.

Classifying the four options by how many alkyl (CH3) groups are attached to the charged carbon:

(A) CH3+ -- no alkyl group (a simple methyl cation), least stable.

(D) CH3CH2+ -- one alkyl group (primary), some stabilisation. …

The carbonium ion CH3+ has its central carbon sp2 hybridized (three sigma bonds to H in one plane, plus an empty unhybridized p orbital), giving it a trigonal planar shape.

(Note: the paper's own printed formula shows a negative superscript, 'CH3(-)', on this item, but 'carbonium ion' is the standard chemistry term for the positively charged species CH3+; this answer addresses the named carbonium ion.)

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