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Question: Hydrazine, a component of rocket fuel, undergoes combustion to yield N₂ and H₂O. N₂H₄ (l) + O₂ (g) ...

Hydrazine, a component of rocket fuel, undergoes combustion to yield N₂ and H₂O.

N₂H₄ (l) + O₂ (g) → N₂ (g) + 2H₂O (l)

What is the enthalpy change of combustion of N₂H₄ (kJ/mole) Given Reaction ΔH/kJ 2NH₃ (g) + 3N₂O (g) → 4N₂ (g) + 3H₂O (l) - 1011 kJ N₂O (g) + 3H₂ (g) → N₂H₄ (l) + H₂O (l) - 317 kJ 4NH₃ (g) + O₂ (g) → 2N₂H₄ (l) + 2H₂O (l) - 286 kJ H₂(g) + 12\frac{1}{2}O₂ (g) → H₂O (l) - 285 kJ

A

-620.5

B

-622.75

C

1167.5

D
  • 622.75
Answer

-620.5 kJ/mole

Explanation

Solution

The enthalpy change of combustion of N₂H₄ can be calculated using Hess's Law and the given reactions.

  1. From Reaction 1: 2x + 3y = 156

  2. From Reaction 3: z = 2x + 142

  3. From Reaction 2: z = y - 32

Solving these equations, we find:

  • x = -45.75
  • y = 82.5
  • z = 50.5 kJ

Then, the combustion reaction ΔH is calculated as:

ΔH = [2(–285)] – (50.5) = –620.5 kJ.