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The normal boiling point of ethyl acetat...

The normal boiling point of ethyl acetate is `77.06 ""^(@)C`. A solution of 50 g of a nonvolatile solute in 150 g of ethyl acetate boils at `84.27 ""^(@)C`. Evaluate the molar mass of solute if `K_b` for ethyl acetate is `2.77 ""^(@)C` `kg mol^(-1)`

Text Solution

Verified by Experts

`M_2=(1000 K_bW_2)/(DeltaT_bW_1)`
`W_2` = 50 g, `W_1` = 150 g,
`DeltaT_b=T_b-T_b^0 = 84.27 ""^(@)C - 77 .06 ""^(@)C`
`= 7.21^(@)C` = 7.21 K
`K_b= 2.77 ""^(@)C` kg `mol^(-1) = 2.77 K kg mol^(-1)`
Substitution of these in above equation
`M_2=(1000 g Kg^(-1) xx 2.77 K kg mol^(-1) xx 50 g)/(7.21 K xx 150 g)`
= `128 g mol^(-1)`
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