The decreasing order of stability of the following carbocations is:
\( (i) \text{(CH}_3\text{)}_3\text{C}^+ \quad (ii) \text{(CH}_3\text{)}_2\text{C-CH}_2^+ \quad (iii) \text{CH}_3\text{CH}_2\text{-CH}_2^+ \)
Carbocation stability follows the order tertiary > secondary > primary due to hyperconjugation and inductive effects.
- Tertiary carbocation \((i)\) is the most stable due to maximum hyperconjugation from three methyl groups.
- Primary carbocation \((iii)\) is more stable than the secondary carbocation \((ii)\) due to its structure.
- Secondary carbocation \((ii)\) is the least stable due to minimal hyperconjugation.
Thus, the correct order is: \[ {(i) > (iii) > (ii)} \]
For the reaction:
\[ 2A + B \rightarrow 2C + D \]
The following kinetic data were obtained for three different experiments performed at the same temperature:
\[ \begin{array}{|c|c|c|c|} \hline \text{Experiment} & [A]_0 \, (\text{M}) & [B]_0 \, (\text{M}) & \text{Initial rate} \, (\text{M/s}) \\ \hline I & 0.10 & 0.10 & 0.10 \\ II & 0.20 & 0.10 & 0.40 \\ III & 0.20 & 0.20 & 0.40 \\ \hline \end{array} \]
The total order and order in [B] for the reaction are respectively: