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If Kf "value of " H2 O is 1.86 ^@C /mola...

If `K_f "value of " H_2 O` is `1.86 ^@C` /molal. The value of `DeltaT_f` for 0.1 m solution of non-volatile solute is

A

18.6

B

0.186

C

1.86

D

0.0186

Text Solution

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The correct Answer is:
To find the value of ΔTf for a 0.1 m solution of a non-volatile solute in water, we can use the formula for freezing point depression: ### Step-by-Step Solution: 1. **Identify the given values:** - Kf (freezing point depression constant for water) = 1.86 °C/m (molal) - Molality (m) of the solution = 0.1 m 2. **Write the formula for freezing point depression:** \[ \Delta T_f = K_f \times m \] where ΔTf is the freezing point depression, Kf is the freezing point depression constant, and m is the molality of the solution. 3. **Substitute the known values into the formula:** \[ \Delta T_f = 1.86 \, °C/m \times 0.1 \, m \] 4. **Perform the multiplication:** \[ \Delta T_f = 1.86 \times 0.1 = 0.186 \, °C \] 5. **State the final answer:** The value of ΔTf for a 0.1 m solution of a non-volatile solute is **0.186 °C**.
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