`2.82g` of glucose (molar mass `=180`) is dissolved in `30g` of water. Calculate the (i) Molality of the solution (ii) mole fractions of (a) glucose (b) water.

Explanation

To solve the problem, we will calculate (i) the molality of the solution and (ii) the mole fractions of glucose and water step by step.

### Step 1: Calculate the number of moles of glucose
To find the number of moles of glucose, we use the formula:

\[ \text{Number of moles} = \frac{\text{mass of solute (g)}}{\text{molar mass of solute (g/mol)}} \]
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