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NCERT Class XII Chemistry
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Question : 45 of 53
Marks: +1, -0
Calculate the mass of urea (NH2CONH2)\mathrm{(NH_2CONH_2)} required in making 2.5 kg of 0.25 molal aqueous solution.
Solution:  
Moles of urea =0.25mole= 0.25\,\text{mole}
Mass of solvent (water) =1kg=1000g= 1\,\text{kg} = 1000\,\text{g}
Molar mass of urea (NH2CONH2)\mathrm{(NH_2CONH_2)} =14+2+12+16+14+2=14+2+12+16+14+2 =60gmol1=60\,\mathrm{g}\,\mathrm{mol}^{-1}
  \therefore\; Mass of urea in 1000g1000\,\mathrm{g} of water =0.25mol×60gmol1=15g=0.25\,\mathrm{mol}\times 60\,\mathrm{g}\,\mathrm{mol}^{-1}=15\,\mathrm{g}
Total mass of solution =1000+15g=1015g=1.015kg= 1000+15\,\mathrm{g}=1015\,\mathrm{g}=1.015\,\mathrm{kg}
Thus, 1.015 kg\mathrm{kg} of solution contain urea =15g=15\,\mathrm{g}
  2.5kg\therefore\;2.5\,\mathrm{kg} of solution will require urea =15g1.015kg×2.5kg=37g= \frac{15\,\mathrm{g}}{1.015\,\mathrm{kg}}\times 2.5\,\mathrm{kg}=37\,\mathrm{g}
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