Respuesta :
Answer :
[tex]\Delta S_{sys}[/tex] = -1622.8 J/K
[tex]\Delta S_{surr}[/tex] = -94.6 J/K
[tex]\Delta S_{univ}[/tex] = 0 J/K
Explanation : Given,
[tex]\Delta H[/tex] = -483.6 kJ
The given chemical reaction is:
[tex]2H_2(g)+O_2(g)\rightarrow 2H_2O(g)[/tex]
First we have to calculate the value of [tex]\Delta S_{sys}[/tex].
[tex]\Delta S_{sys}=\frac{\Delta H}{T}[/tex]
[tex]\Delta S_{sys}=\frac{-483.6kJ}{298K}[/tex]
[tex]\Delta S_{sys}=-1.6228kJ/K=-1622.8J/K[/tex]
Entropy of system = -1622.8 J/K
As we know that:
Entropy of system = -Entropy of surrounding = 1622.8 J/K
and,
Entropy of universe = Entropy of system + Entropy of surrounding
Entropy of universe = -1622.8 J/K + (1622.8 J/K)
Entropy of universe = 0
Given the data from the question, the entropy of system, surrounding and universe are
A. The entropy of the system is –1622.8 J/K
B. The entropy of the surrounding is 1622.8 J/K
C. The entropy of the universe is 0 J/K
A. How to determine the entropy of the system
From the question given above, the following data were obtained:
- Enthalpy change (ΔH) = –483.6 KJ
- Temperature (T) = 298 K
- Change in entropy of system (ΔSₛᵧₛ) =?
ΔS = ΔH / T
ΔSₛᵧₛ = –483.6 / 298
ΔSₛᵧₛ = –1.6228
ΔSₛᵧₛ = –1.6228 × 1000
ΔSₛᵧₛ = –1622.8 J/K
B. How to determine the entropy of the surrounding
- Change in entropy of system (ΔSₛᵧₛ) = –1622.8 J/K
- Change in entropy of surrounding (ΔSₛᵤᵣ) =?
ΔSsys = –ΔSsur
–1622.8 = –ΔSsur
ΔSₛᵤᵣ = 1622.8 J/K
C. How to determine the entropy of the universe
- Change in entropy of system (ΔSₛᵧₛ) = –1622.8 J/K
- Change in entropy of surrounding (ΔSₛᵤᵣ) = 1622.8 J/K
- Change in entropy of universe (ΔSᵤₙᵢ) =?
ΔSᵤₙᵢ = ΔSₛᵧₛ + ΔSₛᵤᵣ
ΔSᵤₙᵢ = –1622 + 1622
ΔSᵤₙᵢ = 0 J/K
Learn more about entropy:
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