Two liquids having densities d1 and d2 are mixed in such a way that both have same mass. The density of the mixture is

Question

Two liquids having densities d1 and d2 are mixed in such a way that both have same mass. The density of the mixture is (A) (d1+d2/2) (B) (d1+d2/d1 d2) (C) (d1 d2/d1+d2) (D) (2 d1 d2/d1+d2)

Tardigrade Admin · Accepted Answer

Let each have mass =M and densities d1 and d2 dmix=(Mmix/Vmix)=(M+M/((M)d1)+((M)d2) =(2 d1 d2/d1+d2)

Q. Two liquids having densities $d_{1}$ and $d_{2}$ are mixed in such a way that both have same mass. The density of the mixture is

$\frac{d _{1} + d _{2}}{2}$

$\frac{d _{1} + d _{2}}{d _{1} d _{2}}$

$\frac{d _{1} d _{2}}{d _{1} + d _{2}}$

$\frac{2 d _{1} d _{2}}{d _{1} + d _{2}}$

Let each have mass $= M$ and densities $d_{1}$ and $d_{2}$
$d_{mi x} = \frac{M _{mi x}}{V _{mi x}} = \frac{M + M}{( \frac{M}{d _{1}} ) + ( \frac{M}{d _{2}} )}$
$= \frac{2 d _{1} d _{2}}{d _{1} + d _{2}}$

Q. Two liquids having densities d1​ and d2​ are mixed in such a way that both have same mass. The density of the mixture is

2d1​+d2​​

d1​d2​d1​+d2​​

d1​+d2​d1​d2​​

d1​+d2​2d1​d2​​