Why isn't the temperature of this vapor T_sat?

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Discussion Overview

The discussion revolves around the behavior of a saturated liquid-vapor mixture of water in a rigid tank as it is heated. Participants explore the relationship between temperature, pressure, and phase changes, questioning why the temperature does not remain at the saturation temperature of 75°C as the mixture is heated.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants question why the temperature of the vapor is not simply 75°C, suggesting that since it is a mixture, it should reflect the saturation temperature.
  • There is a discussion about the number of phases present, with some asserting that there are two phases initially (a mixture of liquid and vapor) and one phase in the final state (saturated vapor).
  • Some participants argue that the final state does not need to be superheated to be considered a single phase, while others clarify that the temperature can exceed 75°C due to the increase in pressure as heat is added in a constant volume system.
  • One participant mentions finding a temperature of approximately 115°C using a saturated water table, expressing confusion about why the temperature is not 75°C.
  • There are inquiries about the number of moles of water, with some participants unsure of how this information relates to the problem at hand.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between temperature and phase in a confined system, with no consensus reached on the implications of heating a saturated mixture in a rigid tank.

Contextual Notes

The discussion highlights the complexity of phase behavior in thermodynamic systems, particularly under conditions of constant volume, and the implications for temperature and pressure relationships. Some assumptions about the system's behavior remain unresolved.

zachdr1
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A rigid tank with a volume of 2.00m3 contains 5.77 kg of saturated liquid-vapor mixture of water at 75 deg C. Now the water is slowly heated. Determine the temperature at which the liquid in the tank is completely vaporized.

Why isn't the temperature just 75C? If it is already a mixture in beginning, then shouldn't it's current temperature be the saturation temperature?
 
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How many phases are present?
 
Bystander said:
How many phases are present?
It's a mixture of gas and fluid in the initial state, then in the final state it's just a gas
 
zachdr1 said:
final state it's just a gas
How many phases?
 
Bystander said:
How many phases?
Wouldn't it just be two? A mixture in the initial and a saturated vapor in the final. It doesn't say anything about the vapor being superheated
 
Does it have to be "superheated" to be a single phase?
 
Bystander said:
Does it have to be "superheated" to be a single phase?
its a single phase in the final state but unless more heat is added after the water is evaporated then I would think the temperature would still be the saturation temperature since its a saturated gas
 
How many moles of water?
 
Bystander said:
How many moles of water?
I'm not sure, I could look up the molar mass and multiply it by the mass in grams but I'm not sure how using mols would help
 
  • #10
I found the answer by using a saturated water table..it's something like 115 C, I just don't understand why its not 75 C
 
  • #11
zachdr1 said:
volume of 2.00m3 contains 5.77 kg
How many moles?
 
  • #12
Bystander said:
How many moles?
1.0398e+05 mol
 
  • #13
How many moles in one kg of water?
 
  • #14
Bystander said:
How many moles in one kg of water?
Why will finding the number of moles help?
 
  • #15
You have a fixed volume. It limits the amount of substance.
 
  • #16
As long as the mixture in the tank is 2 phases, all points along the saturation curve are valid combinations of temperature and pressure. The temperature can rise above 75C because, as you add heat, the pressure can rise, since the mixture is confined to constant volume. Only if the mixture were held at constant pressure would the temperature have to remain at 75 C.
 
  • #17
Chestermiller said:
As long as the mixture in the tank is 2 phases, all points along the saturation curve are valid combinations of temperature and pressure. The temperature can rise above 75C because, as you add heat, the pressure can rise, since the mixture is confined to constant volume. Only if the mixture were held at constant pressure would the temperature have to remain at 75 C.
Ohh okay that makes sense. Thank you!
 

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