Three liquids of densities d,2d,and 3d are mi | vedclass

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(B) Let the weight of each liquid be $m$.Total weight of the mixture = $m + m + m = 3m$.The volume of each liquid is given by $V = \frac{m}{\rho}$.Thu

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$\frac{18d}{11}$

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(B) Let the weight of each liquid be $m$.Total weight of the mixture = $m + m + m = 3m$.The volume of each liquid is given by $V = \frac{m}{ho}$.Thus,$V_1 = \frac{m}{d}$,$V_2 = \frac{m}{2d}$,and $V_3 = \frac{m}{3d}$.The density of the mixture is given by $ho_{mix} = \frac{	ext{Total Mass}}{	ext{Total Volume}}$.$ho_{mix} = \frac{3m}{\frac{m}{d} + \frac{m}{2d} + \frac{m}{3d}}$.$ho_{mix} = \frac{3m}{\frac{6m + 3m + 2m}{6d}} = \frac{3m}{\frac{11m}{6d}}$.$ho_{mix} = 3m 	imes \frac{6d}{11m} = \frac{18d}{11}$.

Three liquids of densities $d$,$2d$,and $3d$ are mixed in equal proportions of weights. The relative density of the mixture is

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