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Calculate the temperature at which a sol...

Calculate the temperature at which a solution containing 54 gms of glucose `(C_(6) H_(12) O_(6))` in 250 gms of water will freeze. `K_(f)` for water .
`(1 . 86 K kg mol^(-1))`

Text Solution

Verified by Experts

The correct Answer is:
2.232 K
`W_(B) = 54 g`
Molar Mass of glucose `(C_(6) H_(12) O_(6))`
`M_(B) = 180 g mol^(-1)`
`W_(A) = 250 g = 0 . 250 kg`
` k_(f) = 1.86 K kg mol^(-1)`
`Delta T_(f) = K_(f) xx (W_(B))/(M_(B)) xx (1)/(W_(B) (kg))`
`= ((1.86 K kg mol^(-1))xx (54 g))/( (180 g mol^(-1)) xx (0.250 kg))`
`= (186 xx 54)/( 180 xx 25)`
= 2.232 K
`= 2.232^(@) C `
`T_(f) = T_(f)^(0) = Delta T_(f)`
`= (0 -2.232)^(@) C `
`= - 2.232^(@) C `
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