$L i H + A l_{2} C l_{6} \to X + L i C l B F_{3} + X \to Y + L i F + A l F_{3} Y + L i H \to L i B H_{4} i n t h e s e r e a c t i o n X, Y r e s p e c t i v e l y a r e$

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$X = L i H Y = B_{2} H_{6}$

$X = L i A l H_{4} Y = B_{2} H_{6}$

$X = L i A l H_{4} Y = B_{2} O_{3}$

$X = L i A l H_{4} Y = B C l_{3}$

answer is D.

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Detailed Solution

$8 LiH + {Al}_{2} {Cl}_{6} \to \underset{x}{{LiAlH}_{4}} + 6 LiCl 4 {BF}_{3} + 3 {LiAlH}_{4} \to \underset{y}{2 B_{2} H_{6}} + 3 LiF + 3 {AlF}_{3} 2 LiH + B_{2} H_{6} \to 2 {LiBH}_{4}$

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