Given below are two statements :
Statement I : Hyperconjugation is not a permanent effect.
Statement II : In general, greater the number of alkyl groups attached to a positively charged C-atom, greater is the hyperconjugation interaction and stabilization of the cation.
In the light of the above statements, choose the correct answer from the options given below
Statement I : Hyperconjugation is not a permanent effect. Hyperconjugation is a permanent effect that involves the delocalization of \( \sigma \)-electrons of a C-H bond of an alkyl group directly attached to an unsaturated system or to an atom with an unshared p-orbital.
This delocalization occurs even in the absence of an external reagent or condition.
Therefore, Statement I is false. Statement II : In general, greater the number of alkyl groups attached to a positively charged C-atom, greater is the hyperconjugation interaction and stabilization of the cation.
A carbocation is stabilized by hyperconjugation due to the donation of \( \sigma \)-electrons from the adjacent C-H bonds. Alkyl groups attached to the positively charged carbon atom have C-H bonds that can participate in hyperconjugation. The more alkyl groups attached, the greater the number of \( \alpha \)-hydrogen atoms available for hyperconjugation.
This leads to greater delocalization of the positive charge and hence greater stability of the carbocation.
Therefore, Statement II is true. In conclusion, Statement I is false, but Statement II is true. This corresponds to option (3).
For the thermal decomposition of \( N_2O_5(g) \) at constant volume, the following table can be formed, for the reaction mentioned below: \[ 2 N_2O_5(g) \rightarrow 2 N_2O_4(g) + O_2(g) \] Given: Rate constant for the reaction is \( 4.606 \times 10^{-2} \text{ s}^{-1} \).
A hydrocarbon which does not belong to the same homologous series of carbon compounds is
Let \[ I(x) = \int \frac{dx}{(x-11)^{\frac{11}{13}} (x+15)^{\frac{15}{13}}} \] If \[ I(37) - I(24) = \frac{1}{4} \left( b^{\frac{1}{13}} - c^{\frac{1}{13}} \right) \] where \( b, c \in \mathbb{N} \), then \[ 3(b + c) \] is equal to:
Let \( T_r \) be the \( r^{\text{th}} \) term of an A.P. If for some \( m \), \( T_m = \dfrac{1}{25} \), \( T_{25} = \dfrac{1}{20} \), and \( \displaystyle\sum_{r=1}^{25} T_r = 13 \), then \( 5m \displaystyle\sum_{r=m}^{2m} T_r \) is equal to: