Partial pressure vs mole fraction graph

In summary, the author claims that the graph of P vs. ##\chi## is a straight line which cannot pass through the origin, but if mole fraction of a component is zero then it can't form vapours and its partial pressure will be zero.
  • #1
mooncrater
217
18

Homework Statement


There is a statement in a book :
" Graph of P vs ##\chi## is a straight line which ##cannot## pass through origin"

Homework Equations

The Attempt at a Solution


But if mole fraction of a component is zero then it can't form vapours because of which its partial pressure will be zero. So the P vs ##\chi## Graph ##should## pAss through origin. So is this given line wrong?
 
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  • #2
It looks completely wrong to me.
 
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Likes mooncrater
  • #3
What would a molar fraction of 0 mean anyways? It means that there is no amount of the constituent present in the mixture. At molar fraction zero the graph does not describe the component anymore but anything that is not present in the mixture. And I guess that isn't really logical..
 
  • #4
Molar fraction of zero means there is no substance present, that's perfectly logical to me.
 
  • #5
Borek said:
Molar fraction of zero means there is no substance present, that's perfectly logical to me.

That is perfectly logical of course..
But imagine a P, xi plot for substance x in a mixture. At xi=0 the plot is not meaningful for describing substance x anymore cause substance x is not present anymore.
Simply put: a P, xi plot for a certain substance can only be plotted for values of xi where the substance is actually present.
 
  • #6
T Damen said:
That is perfectly logical of course..
But imagine a P, xi plot for substance x in a mixture. At xi=0 the plot is not meaningful for describing substance x anymore cause substance x is not present anymore.
Simply put: a P, xi plot for a certain substance can only be plotted for values of xi where the substance is actually present.
What you are saying is that you object to extending the relationship p = Px down to x = 0, even though at x = 0, the species is not present so that its partial pressure p is equal to zero ( p = 0). And somehow this objection makes sense to you (because it doesn't make sense to me). I'm totally in agreement with Borek.

Chet
 

1. What is the difference between partial pressure and mole fraction?

Partial pressure refers to the pressure exerted by a single gas in a mixture, while mole fraction is a ratio of the number of moles of a specific gas to the total number of moles in the mixture. In other words, partial pressure is a measure of the amount of gas present, while mole fraction is a measure of the proportion of that gas in the mixture.

2. How are partial pressure and mole fraction related?

Partial pressure and mole fraction are related through Dalton's law of partial pressures, which states that the total pressure of a gas mixture is equal to the sum of the partial pressures of each individual gas in the mixture. This relationship can be represented by a graph, where partial pressure is plotted on the y-axis and mole fraction is plotted on the x-axis.

3. How does the partial pressure vs mole fraction graph change with an increase in temperature?

An increase in temperature will cause the molecules of a gas to have higher kinetic energy, leading to more frequent collisions with the walls of the container and an increase in pressure. As a result, the partial pressure vs mole fraction graph will shift upwards, showing an increase in both partial pressure and mole fraction for each gas in the mixture.

4. What information can be obtained from a partial pressure vs mole fraction graph?

A partial pressure vs mole fraction graph can provide information about the composition of a gas mixture, as well as the individual partial pressures and mole fractions for each gas in the mixture. It can also be used to calculate the total pressure of the mixture using Dalton's law of partial pressures.

5. How is the partial pressure vs mole fraction graph used in industrial processes?

In industrial processes, a partial pressure vs mole fraction graph can be used to monitor and control the composition of gas mixtures in various systems. It can also be used to optimize reaction conditions by adjusting the partial pressures of each gas to achieve the desired mole fraction for a specific reaction.

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