If amines are arranged in increasing order of their basic strength in gaseous phase, the correct order will be:
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In gaseous phase, basicity increases with number of alkyl groups due to inductive effect. In aqueous phase, solvation and steric hindrance alter this order.
Basicity in gaseous phase is determined by electron-donating ability of alkyl groups which increase electron density on nitrogen. The more alkyl groups attached, the higher the basicity:
- NH\(_3\): No alkyl group
- CH\(_3\)NH\(_2\): One methyl group
- (CH\(_3\))\(_2\)NH: Two methyl groups
- (CH\(_3\))\(_3\)N: Three methyl groups
Hence, basicity order increases as:
\[
\boxed{\text{NH}_3<\text{CH}_3\text{NH}_2<(\text{CH}_3)_2\text{NH}<(\text{CH}_3)_3\text{N}}
\]
Note: This is valid for gaseous phase. In aqueous phase, steric hindrance and solvation affect order.