Gas Mixture - Dew Point Temperature

In summary, the dew point temperature is only dependent on the pressure of water vapor in the mixture. Using the saturation tables, the temperature corresponding to a vapor pressure of 15 kPa is 53.97 degrees Celsius. For the second part, the temperature decreases to 43.97 degrees Celsius and the task is to find the mass flow rate of water to collect 10kg. This requires determining the mass flow rate of the vapor, which can be solved by setting up an equation using the mole fractions.
  • #1
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Homework Statement


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Only Number 1, not number 2

Homework Equations


Dew Point Temperature T = Saturated Temperated at Vapor Pressure

Partial Pressure = (mole fraction) x (Mixture Pressure)

The Attempt at a Solution



The dew point temperature is only dependent on the pressure of the water vapor in the mixture. This pressure is equal to

P (vapor) = 0.15 (100 kPa) = 15 kPa. Using the saturation tables, the temperature corresponding to this pressure is 53.97 degrees Celsius.

The 2nd part is where I am having difficulty. The temperature cools down to 43.97 degrees Celsius. Now I have to find the mass flow rate of the water to determine how much time it will take to collect 10kg of water. This means I need to determine the mass flow rate of the vapor too? I know the mole fractions add up to 100%
 
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  • #2
so the mass flow rate should be the same, but I am unsure how to set up the equation to solve for it.
 

1. What is a gas mixture?

A gas mixture is a combination of two or more gases that are physically mixed together but do not chemically react with each other. Examples of gas mixtures include air, which is a mixture of oxygen, nitrogen, and other trace gases, and natural gas, which is a mixture of methane, ethane, and other hydrocarbons.

2. What is the dew point temperature of a gas mixture?

The dew point temperature of a gas mixture is the temperature at which the water vapor in the gas begins to condense into liquid water. It is a measure of the amount of water vapor in the gas and is affected by factors such as temperature, pressure, and the composition of the gas mixture.

3. How is the dew point temperature of a gas mixture determined?

The dew point temperature of a gas mixture can be determined by using a dew point meter or a psychrometer. These instruments measure the temperature at which water vapor begins to condense on a surface, and this temperature is then used to calculate the dew point temperature of the gas mixture.

4. Why is the dew point temperature important in gas mixtures?

The dew point temperature is important in gas mixtures because it affects the performance and stability of many industrial processes. For example, in natural gas processing, the dew point temperature must be carefully controlled to prevent the formation of liquid water, which can damage equipment and affect the quality of the gas.

5. How can the dew point temperature of a gas mixture be controlled?

The dew point temperature of a gas mixture can be controlled by adjusting the temperature and pressure of the gas, as well as by removing water vapor through processes such as condensation or absorption. In some cases, it may also be necessary to add drying agents or other chemicals to the gas mixture to lower the dew point temperature.

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