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What freezing point depression would be predicted for 0.1 molal solution of benzoic acid in benzene if latent heat of fusion is 30.00 cal g-1 at 280 K (freezing point) for benzene? (assume no change in molecular state)
  • a)
    0.520
  • b)
    5.20
  • c)
    0.00520
  • d)
    0.0520
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What freezing point depression would be predicted for 0.1 molal soluti...
(a) ΔT0 = Freezing point of solvent
ΔHf - Latent heat of fusion
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What freezing point depression would be predicted for 0.1 molal soluti...
Calculation of Freezing Point Depression:

- The freezing point depression can be calculated using the formula:

ΔTf = Kf * m

- Given that the latent heat of fusion (ΔHf) of benzene is 30.00 cal g^-1 and the molality (m) of the solution is 0.1 molal.
- The freezing point depression constant (Kf) for benzene is 5.12 °C kg mol^-1.

Calculation:

- First, convert the latent heat of fusion from cal g^-1 to cal kg^-1:
ΔHf = 30.00 cal g^-1 * 1000 g kg^-1 = 30000 cal kg^-1

- Now, calculate the freezing point depression:
ΔTf = (Kf * m * ΔHf) / (1000 * 18) = (5.12 * 0.1 * 30000) / (1000 * 18) = 0.520 °C

Therefore, the freezing point depression predicted for a 0.1 molal solution of benzoic acid in benzene is 0.520 °C, which corresponds to option 'A'.
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What freezing point depression would be predicted for 0.1 molal solution of benzoic acid in benzene if latent heat of fusion is 30.00 cal g-1 at 280 K (freezing point) for benzene? (assume no change in molecular state)a)0.520b)5.20c)0.00520d)0.0520Correct answer is option 'A'. Can you explain this answer?
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