Chapter 1: Problem 14

If the mole fraction of a solute in a binary solution is \(0.3\), what could be the mole fraction of the solvent in the solution?

Short Answer

Expert verified

Answer: The mole fraction of the solvent in the binary solution is 0.7.

Step by step solution

Recall the relationship between mole fractions of components in a binary solution

A binary solution consists of just two components: the solute and the solvent. The mole fraction of each component must add up to 1, mathematically represented by: \( x_{solute} + x_{solvent} = 1 \) where \( x_{solute} \) is the mole fraction of the solute and \(x_{solvent}\) is the mole fraction of the solvent.

Plug in the given value for the mole fraction of the solute

The problem states that the mole fraction of the solute (\(x_{solute}\)) is 0.3. Substitute this value into the equation: \( 0.3 + x_{solvent} = 1 \)

Solve the equation for the mole fraction of the solvent

Subtract the mole fraction of the solute from both sides of the equation to isolate \(x_{solvent}\): \( x_{solvent} = 1 - 0.3 \) \( x_{solvent} = 0.7 \) So the mole fraction of the solvent in the binary solution is 0.7.

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If the mole fraction of a solute in a binary solution is \(0.3\), what could be the mole fraction of the solvent in the solution?

Short Answer

Step by step solution

Recall the relationship between mole fractions of components in a binary solution

Plug in the given value for the mole fraction of the solute

Solve the equation for the mole fraction of the solvent

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