(b)
$Ba\left( NO_{3} \right)_{2} \rightleftharpoons Ba^{2 +} + 2NO_{3}^{-}$
1 mole 0 0 initial
$1 - \alpha\ \ \ \ \ \ \ \ \ \ \ \ \ \ \alpha\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\alpha$after dissociation
Total moles$\ = 1 + 2\alpha$
$i = 1 + 2$α
$\alpha = \frac{i - 1}{2} = \frac{2.74 - 1}{2} = 0.87 = 87\%$