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Calculate the mass of ascorbic acid ( Vi...

Calculate the mass of ascorbic acid `(` Vitamin `C,C_(6)H_(8)O_(6))` to be dissolved in `75g` of acetic acid to lower its melting poit by `1.5^(@)C. K_(f)=3.9 K kg mol ^(-1)`

Text Solution

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`W_(B)(M_(B)xxDeltaT_(f)xxW_(A))/k_(f)`
Mass of aetic acid `(W_(A))=75g = 0.075 kg`.
Depression in freeing point `(DeltaT_(f))=1.5^(@)C=1.5 K`
Molar mass of ascorbic acid `(M_(B))=6xx12+8xx1+6xx16=176 g mol^(-1)`
Molal depression constant `(K_(f))=3.9 K kg mol^(-1)`
`W_(B)=((176g mol^(-1))xx(1.5K)xx(0.075 kg))/((3.9 K kg mol^(-1)))=5.08 g`
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