At 25°c ∆G° for the process H20(l)=H20(g)is 8.6kj.The vapour pressure of water at this temperature is nearly
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Answer:
23.17 torr
Explanation:
Consider the vaporization as equilibrium reaction.
The the activities satisfy equilibrium equation
K=a(H₂O(l)a(H2O(g)
The vapour pressure is the partial pressure over gaseous water over pure water.
Since liquid water water is pure , it has activity 1.
a(H2O(l))=1
Assuming ideal gas phase, the activity of gaseous water is equal to ratio of partial pressure to total pressure:
a(H2O(g))=pop(H2O(g))
Hence
K=pop(HO(g))
=p(H2O(g))=po⋅K
Equilibrium constant and ΔG are related as
ΔG=−R⋅T⋅ln(K)
K=eR⋅T−ΔG
Therefore
p(H2O(g))=po⋅eR⋅T−ΔG
=101325Pa⋅e(8.314472J/molK⋅298.15K)−8600J/mol
=3155Pa
converting Pa to torr, we get 23.17 as answer
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