- A$C_6H_5CH(C_6H_5)Br$
- B$C_6H_5CH(CH_3)Br$
- ✓$C_6H_5C(CH_3)(C_6H_5)Br$
- D$C_6H_5CH_2Br$
$C_{6} H_{5} C H\left(C_{6} H_{5}\right) B r \rightarrow$$\left(C_{6} H_{5}\right)_{2} \stackrel{+}{C} H+B r^{-} C_{6} H_{5} C H\left(C H_{3}\right) B r \rightarrow$$ C_{6} H_{5} \stackrel{+}{C} H\left(C H_{3}\right)+B r^{-}$
$C_{6} H_{5} C\left(C H_{3}\right)\left(C_{6} H_{5}\right) B r \rightarrow$$\left(C_{6} H_{5}\right)_{2}\stackrel{+}{C}\left(C H_{3}\right)+B r^{-} C_{6} H_{5} C H_{2} B r \rightarrow$$ C_{6} H_{5}\stackrel{+}{C} H_{2}+B r^{-}$
The order of stability of these carbocations is as
$\left(C_{6} H_{5}\right)_{2} \stackrel{+}{C}\left(C H_{3}\right)>\left(C_{6} H_{5}\right)_{2} \stackrel{+}{C} H$ $>C_{6} H_{5} \stackrel{+}{C} H\left(C H_{3}\right)>C_{6} H_{5} \stackrel{+}{C} H_{2}$
Thus, $C_{6} H_{5} C\left(C H_{3}\right)\left(C_{6} H_{5}\right) B r$ is most reactive towards ${S_{{N^1}}}$ reaction.
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(Round off to the Nearest Integer).
[Use : $\sqrt{3}=1.73, h =6.63 \times 10^{-34} Js$ $m _{ e }=9.1 \times 10^{-31} kg ; c =3.0 \times 10^{8} ms ^{-1}$ $\left.1 eV =1.6 \times 10^{-19} J \right]$

$2 H _2( g )+2 NO ( g ) \rightarrow N _2( g )+2 H _2 O ( g )$
which following the mechanism given below:
$2 NO ( g ) \underset{ k _{-1}}{\stackrel{ k _1}{\rightleftharpoons}} N _2 O _2( g )$
$N _2 O _2( g )+ H _2( g ) \stackrel{ k _2}{\rightleftharpoons} N _2 O ( g )+ H _2 O ( g )$
$N _2 O ( g )+ H _2( g ) \stackrel{ k _3}{\rightleftharpoons} N _2( g )+ H _2 O ( g )$
(fast equilibrium)
(slow reaction)
(fast reaction)
The order of the reaction is