At what temperature is the reduction of tungsten(VI) oxide by hydrogen to give metallic tungsten and steam spontaneous?

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### Determining the Temperature for Spontaneous Reduction of Tungsten(VI) Oxide by Hydrogen

#### Question
At what temperature is the reduction of tungsten(VI) oxide by hydrogen to give metallic tungsten and steam spontaneous?

#### Details
1. **Substance Information**:
    - WO₃(s): Tungsten(VI) oxide, solid
    - W(s): Tungsten, solid
    - H₂(g): Hydrogen, gas
    - H₂O(g): Water, gas (steam)

2. **Thermodynamic Data**:
    | Substance | ΔH<sub>f</sub>º (kJ/mol) | S<sub>f</sub>º (J/(K·mol)) |
    |-----------|-------------------------|---------------------------|
    | WO₃(s)    | -843                     | 76.0                       |
    | W(s)      | 0.0                      | 32.6                       |
    | H₂(g)     | 0.0                      | 130.6                      |
    | H₂O(g)    | -241.8                   | 188.8                      |

For further assistance, you can refer to the **Periodic Table** or **See Hint** to guide through the calculations and conceptual understanding.

This question assesses the understanding of Gibbs free energy and its relationship with temperature, focusing on how a chemical reaction's spontaneity can be influenced by thermodynamic properties such as enthalpy and entropy.
Transcribed Image Text:### Determining the Temperature for Spontaneous Reduction of Tungsten(VI) Oxide by Hydrogen #### Question At what temperature is the reduction of tungsten(VI) oxide by hydrogen to give metallic tungsten and steam spontaneous? #### Details 1. **Substance Information**: - WO₃(s): Tungsten(VI) oxide, solid - W(s): Tungsten, solid - H₂(g): Hydrogen, gas - H₂O(g): Water, gas (steam) 2. **Thermodynamic Data**: | Substance | ΔH<sub>f</sub>º (kJ/mol) | S<sub>f</sub>º (J/(K·mol)) | |-----------|-------------------------|---------------------------| | WO₃(s) | -843 | 76.0 | | W(s) | 0.0 | 32.6 | | H₂(g) | 0.0 | 130.6 | | H₂O(g) | -241.8 | 188.8 | For further assistance, you can refer to the **Periodic Table** or **See Hint** to guide through the calculations and conceptual understanding. This question assesses the understanding of Gibbs free energy and its relationship with temperature, focusing on how a chemical reaction's spontaneity can be influenced by thermodynamic properties such as enthalpy and entropy.
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