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Show graphically that the freezing point of a liquid will be depressed when a non-volatile solute is dissolved in it. The freezing point of a solution containing 0-3 g of acetic acid in 30-0 g of benzene is lowered by 0-`45^@`. Calculate the van't Hoff factor. (K for benzene = 5-12 K kg mol`""^(-1)`).

Text Solution

Verified by Experts

Graphical representation of freezing point depression is given in Fig.
. Freezing point depression,
`Delta T_f =T_(f_f^(@) -T_f`
Let us first calculate observed molar mass.
`M_B=(K_fxxW_Bxx1000 )/( Delta T_f xx W_A)`
`=(5.12 xx 0.3 xx 1000)/(=5.12 xx 0.3 xx 1000)/(0.45 xx 30.0 )`
`113.8`

Normal molar mass of CH3COOH = 60
Van.t Hoff factor, i = `("Normal molar mass")/("Observed molar mass ")`
`=(60)/(113.8)= 0.527`
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Knowledge Check

  • The freezing point of a solution containing 0.2 g of acetic acid in 20.0 g benzene is lowered by 0.45^@C . The degree of association of acetic acid in benzene is (Assume acetic acid dimerises in benzene and K_f for benzene = 5.12 K kg "mol"^(-1) ) ?

    A
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    B
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    C
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    D
    `100%`
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