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A solution of sucrose (molecular weight ...

A solution of sucrose (molecular weight 342g `"mol"^(-1)` ) has been prepared by dissolving 68.4g of sucrose in 1000 g of water.
The freezing point of the solution obtained will be:

A

`-0.52^@C`

B

`+ 0.52^@C`

C

`-0.372^@C`

D

`+0.372^@C`

Text Solution

Verified by Experts

The correct Answer is:
C
Depression in freezing point, `DeltaT_f = K_f xx m`
Where, m = molarity ` = (W_B xx 1000)/(M_B . W_A)`
`(68.5 xx 1000)/(342 xx 1000) = (68.5)/(342)`
`DeltaT_f = (68.5)/(342) xx 1.86`
` = 0.372^@C`
` DeltaT_f = T^@ - Ts`
` = 0-0.372^@C`
` = 0.372^@C`
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