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n' different liquids, which do not react chemically, are mixed to from a homogeneous mixture. If the densities of the liquids are p_(1),p_(2), . . . . . . . . . . . . P_(n), respectively, then the density of the homogeneousmixture when (a) the masses of the liquids forming the mixture are equal (b) the volumes of the liquids forming the mixture are equal |
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Answer» Solution :(1) Find the FORMULA for density. Then for GIVEN homogeneos mixture of 'n' liquids, `d=(m_(1)+m_(2)+m_(3)+ . . . . . +m_(n))/(v_(1)+v_(2)+. . . ..+v_(n))` (1) Then, for density of each liquid will be, `d_(1)=(m_(1))/(v_(1))` `d_(2)=(m_(2))/(v_(2))` `d_(n)=(m_(n))/(v_(n))` (2) (ii) The MASSES of the liquids forming the mixture are equal then, `d_(m)=(m+m+m+. . . . . +m)/(v_(1)+v_(2)+ . . . . .+v_(n))` `(nm)/(v_(1)+v_(2)+ . . . . .+v_(n))`(3) Convert the volumes of (3) in terms of DENSITIES. (iii) If volumes of liquids forming the mixture are equal. `"i.e.,"V_(1)=V_(2)=V_(3). . . . . .=V_(n)=V`(4) Substitute values of (4) in (1). Converts the masses and of liquids in terms of their densities. Substitute these and find density of the homogeneous mixture. |
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