When a solution containing w g of urea in 1 kg of water is cooled to -372c ,200 g of ice is separated?
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29.7g
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Given info : A solution containing w g of urea in 1kg of water is cooled to 272K,200g of ice is separated. k of water = 1.86 K kg/mol.
To find : The mass of urea, w , is ...
solution : mass of water = 1 kg = 1000g
mass of ice is separated = 200g
so mass of remaining water = 1000g - 200g = 800g
mass of urea = w g
molecular mass of urea = 60 g/mol
so no of moles of urea = (w/60)
molality = no of moles of urea/mass of water in kg
= (w/60)/(800/1000)
= w/48
now using formula, ∆Tf = k × m
⇒(273.15 - 272) = 1.86 × w/48
⇒1.15 × 48/1.86 = w
⇒w = 29.7 g
Therefore the mass of urea is 29.7 g
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