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Density of 1M solution of C(6)H(12)O(6) ...

Density of 1M solution of `C_(6)H_(12)O_(6)` is `1.18 g//cm^(3)`. If `K_(f)(H_(2)O)` is `1.86 K m^(-1)`, the solution freezes at

A

`-1.58^(@)C`

B

`-1.86^(@)`

C

`-3.16^(@)C`

D

`-3.58^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
A 1M solution means 1 mol of `C_(6)H_(12)O_(6)` (molar mass `= 180 g mol^(-1))` of solute in `100 cm^(3)` of solution.
Mass of solution `= 1000 xx 1.18 = 1180g`
Mass of water `= 1180 - 180 = 100g`
`:. 1M C_(6)H_(12)O_(6)` solution = 1m
`DeltaT_(f) = K_(f)m`
`= 1.86 xx 1 = 1.86`
`T_(f) = (0-1.86)^(@)C =- 1.86^(@)C`
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