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Q. Silanes are silicon hydrides of general formula $Si_{n}H_{2 n + 2}$ and have several applications. From the data given below, the bond dissociation enthalpy of $Si-Si$ bond (in $kJmol^{- 1}$ ) is
Given:
$\Delta H$ of the reaction $2Si\left(s\right)+3H_{2}\left(g\right) \rightarrow \, Si_{2}H_{6}\left(g\right)$ is $80.3kJmol^{- 1}$
Bond dissociation enthalpy for $H-H=436kJmol^{- 1}$
Bond dissociation enthalpy for $Si-H=304kJmol^{- 1}$
$\left(\Delta \right)_{f}H \, \left[S i \left(g\right)\right]=405 \, kJmol^{- 1}$
(Note: Report your answer after rounding up to the nearest integer value.)

NTA AbhyasNTA Abhyas 2022

Solution:

$2Si\left(s\right)+3H_{2}\left(g\right) \rightarrow \, \left(Si\right)_{2}H_{6}\left(g\right)\Delta H_{1}=80.3\left(kJmol\right)^{- 1}$
$H_{2}\left(g\right) \rightarrow 2H\left(g\right)\Delta H_{2}=436\left(kJmol\right)^{- 1}$
$\Delta H_{reaction}=\underset{}{\displaystyle \sum }BEofreactants-\underset{}{\displaystyle \sum }BEofproducts$
$\Delta H_{reaction}=2\times \Delta H_{sublimation of Si \left(s\right)}+3\times \left(BE\right)_{H - H}-6\times \left(BE\right)_{Si - H}+\left(BE\right)_{si - si}$
$80.3=2\times 405+3\times 436-\left[\left(S i - S i\right) + 6 \left(304\right)\right]$
(Si - Si) Bond energy $=214 \, kJmol^{- 1}$