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CBSE Class 12 Chemistry 2014 Delhi Set 1 Solved Paper

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Question : 11 of 30
Marks: +1, -0
Calculate the mass of compound (molar mass == 256 g mol−1256\,\mathrm{g}\,\mathrm{mol}^{-1} ) to be dissolved in 75 g75\,\mathrm{g} of benzene to lower its freezing point by 0.48 K (Kf=5.12 K kg.0.48\,\mathrm{K}\,(K_f=5.12\,\mathrm{K}\,\mathrm{kg}. mol−1\mathrm{mol}^{-1} ).
Solution:  
Let XgXg of the compound is to be dissolved. Number of moles of compound,
n=molar massgiven mass=256Wn=\frac{\text{molar mass}}{\text{given mass}}=\frac{256}{W}
Mass of Benzene =75 g=0.075 Kg=75\,\mathrm{g}=0.075\,\mathrm{Kg}
Molality =moles of solute mass of solvent in kg=\frac{\text{moles of solute }}{\text{mass of solvent in }\mathrm{kg}}
=W256×0.075=W19.2=\frac{W}{256\times 0.075}=\frac{W}{19.2}
Freezing point depression ΔTf=0.48 K\Delta T_f=0.48\,\mathrm{K}
Molar depression of freezing point constant =5.12 K kg/mol=5.12\,\mathrm{K}\,\mathrm{kg}/\mathrm{mol}
It is defined as the total number of molecules of reactants.
⇒Tf=Kf0.48\Rightarrow T_f=K_f 0.48
=5.12 W=1.8 g=5.12\,\mathrm{W}=1.8\,\mathrm{g}
Hence, 1.8 g1.8\,\mathrm{g} solute has been dissolved.
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