The addition of \( 3 \mathrm{gm} \) of substance to \( 100 \mathrm{gm} \mathrm{CCl}_{4}\left(\ma...

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The addition of \( 3 \mathrm{gm} \) of substance to \( 100 \mathrm{gm} \mathrm{CCl}_{4}\left(\mathrm{M}=154 \mathrm{gm} \mathrm{mol}^{-1}\right) \) raises the boiling point of \( \mathrm{CCl}_{4} \) by \( 0.60^{\circ} \mathrm{C} . \mathrm{K}_{\mathrm{b}} \) of \( \mathrm{CCl}_{4} \) is \( 5.03 \mathrm{~kg} \mathrm{~mol}^{-1} \mathrm{~K} \). Calculate
(a) the freezingpoint depression
(b) the relative lowering of vapour pressure
\( \mathrm{P} \)
(c) the osmotic pressure at \( 298 \mathrm{~K} \)
(d) the molar mass of the substance
[Given : \( \mathrm{K}_{f}\left(\mathrm{CCl}_{4}\right)=31.8 \mathrm{~kg} \mathrm{~mol}^{-1} \mathrm{~K} \) and \( \rho\left(\right. \) density) of solution \( =1.64 \mathrm{gm} / \mathrm{cm}^{3} \) ]
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