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Latent heat of water (ice) is 1436.3 cal per mol. What will be molal freezing point depression constant of water (R = 2 cal/degree/mol)? -

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Question

Latent heat of water (ice) is 1436.3 cal per mol. What will be molal freezing point depression constant of water (R = 2 cal/degree/mol)?

Options

  • 18.70°C

  • 1.870°C

  • 0.187°C

  • None of these

MCQ

Solution

1.870°C

Explanation:

`K_f = (MRT°_f^(2))/(Δ_(fus) H xx 1000)`

= `(18  g  mol^(-1) xx 2  cal  k^(-1)  mol^(-1) xx (273  K)^2)/(1436.3  cal  mol^(-1) xx 1000)`

= 1.87 K kg mo1–1 

or 1.87°C kg mol–1

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