Equilibrium temperature with 2 states of matter

In summary, the conversation discusses the transfer of heat between 35g of h2o(g) at 380K and 300g of h2o(l) at 300K, with a heat capacity of 4.18kJ/K*kg and a heat of condensation of -2257kJ/kg. The question is posed of whether the heat capacity for h2o gas is different from h2o liquid and if it can be calculated using the heat of condensation. The calculated final temperature at equilibrium is approximately 290K, which may be lower than expected due to heat loss during condensation.
  • #1
jlau
1
0
You have to show your attempts, this is a forum policy. Also, all homework like questions should go to homework forum.
35g of h2o(g) at 380K flows into 300g of h2o(l) at 300K. Cp(l)=4.18kJ/K*kg and ΔH(condensation)= -2257kJ/kg.
I need to calculate the final temperature when the system reaches equilibrium.

Is the heat capacity for the h2o gas different than h2o liquid? Can you calculate heat capacity using ΔH(condensation)?

The answer I got when I used the same heat capacity was about 290K. Which I thought was odd considering the liquid water started at 300K and the gas was even hotter than that. could this be because heat was lost during condensation of the steam?
 
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  • #2
jlau said:
Is the heat capacity for the h2o gas different than h2o liquid?

Yes.

Can you calculate heat capacity using ΔH(condensation)?

No.
 

Related to Equilibrium temperature with 2 states of matter

1. What is equilibrium temperature with 2 states of matter?

Equilibrium temperature with 2 states of matter refers to the temperature at which a system containing two different states of matter (such as liquid and gas) reaches a balance between the rates of evaporation and condensation. This means that the amount of matter moving from the liquid state to the gas state is equal to the amount of matter moving from the gas state to the liquid state, resulting in a constant amount of each state of matter.

2. How is equilibrium temperature with 2 states of matter determined?

The equilibrium temperature with 2 states of matter can be determined through the use of the Clausius-Clapeyron equation, which takes into account the vapor pressure and enthalpy of vaporization for each state of matter. By setting these values equal to each other and solving for temperature, the equilibrium temperature can be calculated.

3. What factors can affect the equilibrium temperature with 2 states of matter?

The equilibrium temperature with 2 states of matter can be affected by a variety of factors such as pressure, volume, and the nature of the substances involved. Changes in these factors can alter the vapor pressure and enthalpy of vaporization, thus affecting the equilibrium temperature.

4. What happens if the equilibrium temperature with 2 states of matter is not reached?

If the equilibrium temperature with 2 states of matter is not reached, the system will continue to undergo evaporation and condensation until the rates of these processes reach a balance. This can result in a system with unequal amounts of each state of matter, leading to an unstable state.

5. How is the equilibrium temperature with 2 states of matter important in everyday life?

The concept of equilibrium temperature with 2 states of matter is important in various industries such as food and beverage production, pharmaceuticals, and chemical engineering. It is also relevant in weather patterns and the water cycle, as these involve the constant balancing of liquid and gas states of water. Understanding equilibrium temperature can aid in the design and maintenance of systems and processes involving two states of matter.

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