Equal masses of water and a liquid of density | vedclass

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(B) Let the mass of water be $m$ and the mass of the liquid be $m$. The density of water is $\rho_1 = 1 \ g/cm^3$ and the density of the liquid is $\r

Vedclass · Accepted Answer

$4/3$

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(B) Let the mass of water be $m$ and the mass of the liquid be $m$. The density of water is $\rho_1 = 1 \ g/cm^3$ and the density of the liquid is $\rho_2 = 2 \ g/cm^3$.The total mass of the mixture is $M = m + m = 2m$.The total volume of the mixture is $V = V_1 + V_2 = \frac{m}{\rho_1} + \frac{m}{\rho_2} = m(\frac{1}{1} + \frac{1}{2}) = m(\frac{3}{2})$.The density of the mixture is $\rho_{mix} = \frac{M}{V} = \frac{2m}{m(3/2)} = \frac{2}{3/2} = \frac{4}{3} \ g/cm^3$.

Equal masses of water and a liquid of density $2 \ g/cm^3$ are mixed together. The density of the resulting mixture is ........ $g/cm^3$.

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