How Do You Calculate the Mole Fraction of NaCl in a Solution?

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Discussion Overview

The discussion revolves around calculating the mole fraction of sodium chloride (NaCl) in a solution, given the vapor pressure of the solution and pure water. Participants explore the application of Raoult's Law and the implications of ionic dissociation in determining mole fractions.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant calculates the mole fraction of water (H2O) as 0.824 using Raoult's Law, which leads to a question about how to find the mole fraction of the solute (NaCl).
  • Another participant suggests that the mole fraction of water is equal to the mole fraction of the solute, implying that if H2O has a mole fraction of 0.824, then NaCl would also have a mole fraction of 0.824.
  • A further reply questions this assumption, suggesting that because NaCl dissociates into two ions (Na+ and Cl-), the calculation might need to account for this dissociation, potentially leading to a different value.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the relationship between the mole fractions of the solvent and solute, particularly regarding the impact of ionic dissociation on the mole fraction of NaCl.

Contextual Notes

There is uncertainty regarding the treatment of ionic solutes in the context of mole fractions, and the implications of Raoult's Law in this specific scenario remain unresolved.

Integral0
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Here is the question:

A solution of sodium chloride in water has a vapor pressure of 19.6 torr at 25 degrees celsius. What is the mole fraction of NaCl in this solution? The vapor pressure of pure water is 23.8 torr at 25 degrees celsius.
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Here's what I need help with:

I am able to determine the mole fraction for H20 = .824
because I took Psoln = XsolventP^0solvent (Raoult's Law) and then I did this

Psoln divided by P^0solvent to get Xsolvent (kie solvent(mole fraction of solvent or H20)).

I got .824 for the mole fraction of H20 but now I am unsure about how to find the mole fraction of the solute (NaCl).

HOW DO YOU FIND THE MOLE FRACTION OF THE SOLUTE?

Thanks
 
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1 - mole fraction of water = mole fraction of solute.
 
Last edited:
RE;

How did you formulate this, GeneralChemtutor?

Does that mean .824 H20 solvent = .824 NaCl solute?

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If this is true . . . doesn't it need to be 2(.824)? B/c ionic solute's dissolve . . . like this -> NaCl -> 1 mol Na + 1 mol Cl ??
 
Last edited:

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