Use Hess's Law to calculate the enthalpy change for the reaction
WO3(s) + 3H2(g) => W(s) + 3H2O(g)
from the following equations:
2W(s) + 3O2(g) => 2WO3(s) DH = -1685.4 kJ
2H2(g) + O2(g) => 2H2O(g) DH = -477.84 kJ

Respuesta :

Answer:

ΔH = 125.94kJ

Explanation:

It is possible to make algebraic sum of reactions to obtain ΔH of reactions (Hess's law). In the problem:

1. 2W(s) + 3O2(g) → 2WO3(s) ΔH = -1685.4 kJ

2. 2H2(g) + O2(g) → 2H2O(g) ΔH = -477.84 kJ

-1/2 (1):

WO3(s) → W(s) + 3/2O2(g) ΔH = 842.7kJ

3/2 (2):

3H2(g) + 3/2O2(g) → 3H2O(g) ΔH = -716.76kJ

The sum of  last both reactions:

WO3(s) + 3H2(g) → W(s) + 3H2O(g)

ΔH = 842.7kJ -716.76kJ

ΔH = 125.94kJ

The enthalpy change (ΔH) for the reaction is 125.94kJ.

Hess's Law:

The Hess's law states that the total enthalpy change during a complete chemical reaction is the same regardless of the path taken by the chemical reaction.

It is possible to make algebraic sum of reactions to obtain ΔH of reactions (Hess's law).

It is given that:

1. 2W(s) + 3O₂(g) → 2WO₃(s) ΔH = -1685.4 kJ

2. 2H₂(g) + O₂(g) → 2H₂O(g) ΔH = -477.84 kJ

On dividing equation 1. by - 1/2 for simplification we get:

W(s) + 3/2 O₂(g) → WO₃(s)  ΔH = 842.7kJ....................(a)

On dividing equation 2. by  3/2 for simplification we get:

3H₂(g) + 3/2O₂(g) → 3H₂O(g) ΔH = -716.76kJ...................(b)

On adding equations (a) and (b)

WO₃(s) + 3H₂(g) → W(s) + 3H₂O(g)

ΔH = 842.7kJ -716.76kJ

ΔH = 125.94kJ

The enthalpy change for the reaction is 125.94 kJ.

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