Thermodynamics: Water vapor vessel plunged into water ice bath

In summary, the closed rigid vessel initially contains 0.1 kg of water vapor at 1 bar and 200 C. After being placed in a bath with water and ice, the vessel cools and reaches equilibrium with the bath, which still contains water and ice. The initial volume of the vessel is 0.2172 m^3 and the final volume remains the same. The process appears to be isobaric, keeping the variables of volume, mass, and specific volume constant. The temperature and pressure at which condensation begins is found using steam tables. In the final state, the water is in a liquid form.
  • #1
aznkid310
109
1

Homework Statement



A closed rigid vessel contains 0.1 kg of water vapor (steam) at 1 bar and 200 C. The vessel is plunged into a bath containing water and ice. After the vessel cools and reaches equilibrium with the bath, the bath still contains water and ice.

a. What is the volume contained by the vessel initially? Finally?

b. As the vessel cools, at what temperature and pressure does condensation begin?

c. What is the final temperature and pressure in the vessel?

d. What is the quality of the water in the final state?

Homework Equations



I am not sure how to even start. Any push in the right direction would be great.

Is this an isobaric process?

The Attempt at a Solution



Initial V_i = v*m = 2.172*0.1 = 0.2172, where v = specific volume(found in a table)

If it is an isobaric process, then Q = [change in]U + W = n(c_v + R)[change in]T
 
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  • #2
aznkid310 said:
Is this an isobaric process?

If the vessel is closed and rigid, what variable is absolutely kept constant?
 
  • #3
It would appear that Volume V, mass m, and thus specific volume v are kept constant
 
  • #4
Agreed.
 
  • #5
So that answers part a, but what about the rest. What is it about condensation (gas to liquid) that helps m solve b?
 
  • #6
Steam tables.
 

1. What is thermodynamics?

Thermodynamics is the branch of physics that deals with the study of energy and its transformations in a system. It focuses on the relationship between heat, work, and other forms of energy.

2. What is a water vapor vessel?

A water vapor vessel is a container designed to hold water in its gaseous state. It is usually made of a material that can withstand high temperatures and pressure, and is commonly used in experiments and industrial processes.

3. What happens when a water vapor vessel is plunged into a water ice bath?

When a water vapor vessel is plunged into a water ice bath, the water vapor inside the vessel will condense into liquid form due to the lower temperature of the ice bath. This process is known as condensation and it releases heat energy into the surrounding environment.

4. How does thermodynamics apply to this scenario?

In this scenario, thermodynamics applies to the study of the energy exchange between the water vapor and the ice bath. It also helps us understand the changes in temperature and state of matter that occur as a result of the vessel being plunged into the ice bath.

5. What is the significance of this experiment?

This experiment can help us understand the principles of thermodynamics and the behavior of water vapor in different temperatures. It also has practical applications in industries such as refrigeration and air conditioning, where the process of condensation is used to remove heat from a space.

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