1 mole of glucose is dissolved in 4 moles of water to form a solution. Find mole-fraction of solute in solution `(x_("solute"))`?

Answer

To find the mole fraction of the solute (glucose) in the solution, we can follow these steps:

### Step 1: Identify the number of moles of solute and solvent
- **Solute (glucose)**: 1 mole
- **Solvent (water)**: 4 moles

### Step 2: Write the formula for mole fraction of the solute
The mole fraction of the solute (x_solute) is given by the formula:
\[ x_{\text{solute}} = \frac{\text{Number of moles of solute}}{\text{Number of moles of solute} + \text{Number of moles of solvent}} \]

### Step 3: Substitute the values into the formula
Substituting the values we have:
\[ x_{\text{solute}} = \frac{1 \text{ mole}}{1 \text{ mole} + 4 \text{ moles}} = \frac{1}{1 + 4} = \frac{1}{5} \]

### Step 4: Calculate the mole fraction
Now, calculate the value:
\[ x_{\text{solute}} = \frac{1}{5} = 0.2 \]

### Conclusion
The mole fraction of the solute (glucose) in the solution is:
\[ x_{\text{solute}} = 0.2 \]

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