Respuesta :
Answer:
A) work done by the system;
B) work is negligible;
C) work is negligible;
D) work done by the system;
E) work doe by the surroundigs.
Explanation:
The work is the energy that a gas gain or loses to expand or compress, respectivately. So, if the gas molecules increase, the work is done by the system, if they decrease, the work is done by the surroundigs, if they don't change, or if there is no gas in the reaction, the work is negligible.
Regarding the work in the following reactions:
- H₂O (l) ⟶ H₂O (g) ΔH = 44.0 kJ/mol There is work done by the system.
- 2 NO (g) + O₂ (g) ⟶ 2 NO₂(g) ΔH = -114.1 kJ/mol There is work done by the surroundings.
- Cl (g) + O₃ (g) ⟶ ClO(g) + O₂(g) ΔH = -163 kJ/mol There is no work done.
- CaCO₃ (s) ⟶ CaO (s) + CO₂(g) ΔH = 110.1 kJ/mol There is work done by the system.
- 4 NH₃(g) + 5 O₂(g) ⟶ 4 NO (g) + 6 H₂O(l) ΔH = -906 kJ/mol There is work done by the surroundings.
We can determine the work done (W) by the system or by the surroundings using the following expression.
[tex]W = -RT\Delta n(g)[/tex]
where,
- R: ideal gas constant
- T: absolute temperature
- Δn(g): moles of gaseous products - moles of gaseous reactants
Since R and T are always positive, we can conclude that:
- If Δn(g) > 0, W < 0, there is work done by the system.
- If Δn(g) < 0, W > 0, there is work done by the surroundings.
- If Δn(g) = 0, W = 0, there is no work done.
Let's select whether there is no work done by the system, work done by the system or work done by the surroundings for each system described below.
A. H₂O (l) ⟶ H₂O (g) ΔH = 44.0 kJ/mol
Δn(g) = 1 - 0 = 1. W < 0, there is work done by the system.
B. 2 NO (g) + O₂ (g) ⟶ 2 NO₂(g) ΔH = -114.1 kJ/mol
Δn(g) = 2 - 3 = -1. W > 0, there is work done by the surroundings.
C. Cl (g) + O₃ (g) ⟶ ClO(g) + O₂(g) ΔH = -163 kJ/mol
Δn(g) = 2 - 2 = 0. W = 0, there is no work done.
D. CaCO₃ (s) ⟶ CaO (s) + CO₂(g) ΔH = 110.1 kJ/mol
Δn(g) = 1 - 0 = 1. W < 0, there is work done by the system.
E. 4 NH₃(g) + 5 O₂(g) ⟶ 4 NO (g) + 6 H₂O(l) ΔH = -906 kJ/mol
Δn(g) = 4 - 9 = -5. W > 0, there is work done by the surroundings.
Regarding the work in the following reactions:
- H₂O (l) ⟶ H₂O (g) ΔH = 44.0 kJ/mol There is work done by the system.
- 2 NO (g) + O₂ (g) ⟶ 2 NO₂(g) ΔH = -114.1 kJ/mol There is work done by the surroundings.
- Cl (g) + O₃ (g) ⟶ ClO(g) + O₂(g) ΔH = -163 kJ/mol There is no work done.
- CaCO₃ (s) ⟶ CaO (s) + CO₂(g) ΔH = 110.1 kJ/mol There is work done by the system.
- 4 NH₃(g) + 5 O₂(g) ⟶ 4 NO (g) + 6 H₂O(l) ΔH = -906 kJ/mol There is work done by the surroundings.
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