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Question: The average energy required to break a P – P bond in P4 (s) into gaseous atoms is 53.2 kcal mol–1. T...

The average energy required to break a P – P bond in P4 (s) into gaseous atoms is 53.2 kcal mol–1. The bond dissociation energy of H2(g) is 104.2 kcal mol–1; Δ\DeltaHf0 of PH3(g) from P4(s) is 5.5 kcal mol–1. The P-H bond energy in kcal mol–1 is [Neglect presence of Van der Waals forces in P4(s)]

A

85.2

B

57.6

C

76.9

D

63.3

Answer

76.9

Explanation

Solution

P4(s) \rightarrow 4P(g) Δ\DeltaH = 53.2 × 6

H2(g) \rightarrow2H(g) Δ\DeltaH = 104.2

14\frac{1}{4}P4(s) + 32\frac{3}{2} H2(g) \rightarrow PH3(g) Δ\DeltaH = 5.5

14\frac{1}{4}× 6 × 53.2 + 32\frac{3}{2} × 104.2 – 3\inP–H = 5.5

\Rightarrow \inP–H = 76.866 i.e. 76.9 kcal mol–1