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How many ethyl alcohol must be added to ...

How many ethyl alcohol must be added to `1.00 L` of water so that the solution will not freeze at `-4^(@)F` ?

Text Solution

Verified by Experts

Using relation
`(DeltaT_(f))=K_(f)m`
where `(DeltaT_(f))=-4^(@)F`
or `-4^(@)F=-20^(@)C` `[.^(@)C=(5)/(9)(.^(@)F-32)]`
`:. m=DeltaT_(f)/K_(f)=20/1.86=10.7`
Therefore, amount of ethyl alcohol to be added
`= m xx` molrcular weight
`=10.7xx46.0`
`=495 g`
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