Calcualte the temperature at which a solution containing 54g of glucose, `C_(6)H_(12)O_(6)` in 250 g of water will freez.e `[K_(f)` for water =`1.86 K "mol"^(-1))`

Explanation

To solve the problem of calculating the freezing point of a solution containing 54 g of glucose in 250 g of water, we can follow these steps:

### Step 1: Calculate the molality of the solution
Molality (m) is defined as the number of moles of solute per kilogram of solvent.

1. **Calculate the number of moles of glucose (C₆H₁₂O₆)**:
- Molecular weight of glucose = 6(12) + 12(1) + 6(16) = 180 g/mol
- Moles of glucose = mass (g) / molar mass (g/mol) = 54 g / 180 g/mol = 0.3 moles
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