General Chemistry - Heat, Work, Enthelpy, Entropy Question

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The discussion revolves around the condensation of one mole of H2O(g) to H2O(l) at 1.00 atm and 95°C, with a focus on understanding the thermodynamic implications rather than calculating specific values. The user expresses confusion regarding the condensation temperature, noting that it typically occurs at 100°C at 1 atm, yet the process is considered to happen at 95°C. They initially assumed that since the temperature remains constant during the phase change, the change in internal energy (ΔE) would be zero, leading to the conclusion that heat (q) equals negative work (w). However, they seek clarification on why this assumption is incorrect, emphasizing their desire for a conceptual understanding rather than numerical solutions. The discussion highlights the complexities of thermodynamic principles in phase changes.
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1. Assume that one mole of H2O(g) condenses to H2O(l) at 1.00atm and 95 Celcius. Calculate q, w, ΔH, ΔS of the system, ΔS of surroundings. BUT I AM NOT ASKING HOW TO CALCULATE THESE VALUES, SEE LAST SENTENCE OF POST.

Homework Equations


q = nCΔT
ΔH = n(Cp)ΔT
W = -PΔV
ΔS = [q_reversible] / T

Cp of H2O(l) = 75.3 J / K*mol
Cp of H2O(g) = 36.4 J / K*mol
ΔH-vaporization of H2O @ 100 = 40.7 kJ / K*mol

The Attempt at a Solution



Basically, I have the solution but I don't understand why it's the case. When I asked my TA, he said that the condensation is actually occurring at 95 Celcius, which confused me right off the bat since I knew that at 1atm, the condensation point should be 100 degrees.

Regardless, I thought that the step that was occurring should be simply:

H2O (g) -> H2O (l) @ 95 degrees.

Thus, I thought that since the system stays at the same temperature, then ΔE = 0 and that q = -w. However, this assumption is wrong. I am simply asking why this is wrong (and not to calculate the values).
 
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Take this a point of discuss and not a solution, because I'm learning the same thing as we speak.

Since

ΔE = qv + w = nCvΔT + (-PextΔV)

and there is no change in volume, isn't it true that

ΔE = qv = nCvΔT

?
 

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