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Calculate the tmperature at which a solu...

Calculate the tmperature at which a solution containing 54 g glucose `(C_(6)H_(12)O_(6))` in 80 g of water will freeze (`K_(f)`for water=1.86 K`mol^(-1)`kg).

Text Solution

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The correct Answer is:
270.77 K
`W_(B)=54 g, M_(B)=180" g mol"^(-1), W_(A)=250 g=0.25 kg`
`"No. of moles of glucose"(n_(B))=W_(B)/M_(B)=((54g))/((180"g mol"^(-1)))=0.3mol`
`"Molarity of glucose solution (m)"=n_(B)/w_(B)=(0.3mol)/(0.25kg)=1.2" mol kg"^(-1).`
`DeltaT_(f)=K_(f)xxm=(1.86" K kg mol"^(-1))=2.23 K`.
`"Freezing point of solution"=(273.0-2.23)K=270.77 K`
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