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Boiling point of water at 750mm Hg is 99...

Boiling point of water at 750mm Hg is `99.63^@C` How much sucrose is to be added to 500g of water such that it boils at `100^@C K_b`(water)= 0.52K kg mol^(-1)`

Text Solution

Verified by Experts

Elevation of boiling point,`Delta T_b =100-99.63 = 0.37^@`
`K_b` of water = 0.5 K kg `mol^(-1)`
Molar mass of sucrose `C_12H_22O_11= 342g mol^(-1)`
`Delta T_b = (1000K_bW_2)/(M_2W_1)`
`therefore W_2` (mass of solute)= `(Delta T_b M_2 W_1)/(1000K_b)= (0.37xx342xx500)/(1000K_b)`=121.67g
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Knowledge Check

  • A scientist wants to perform an experiment in aqueous solution in a hill station where the boiling point of water is 98.98^(@)C . How much urea (mol.wt 60 g mol^(-1) ) is to be added by him to 2 kg of water to get the boiling point 100^(@)C at the same place? ( K_(b) ofwater = 0.51K kg mol^(-1) )

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  • If 1 mol of NaCl solute is dissolved into the 1kg of water, at what temperature will water boil at 1.013 bar? ( K_(b) of water is 0.52 K kg mol^(-1) )

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  • An aqueous solution of glucose containing 12 g in 100g of water was found to boil at 100.34^@C. Calculate K_b for water in K mol ""^(-1) kg.

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