Fluid Mechanics Viscosity Question 219
Question: If two liquids of same masses but densities $ {\rho_{1}} $ and $ {\rho_{2}} $ respectively are mixed, then density of mixture is given by
Options:
A) $ \rho =\frac{{\rho_{1}}+{\rho_{2}}}{2} $
B) $ \rho =\frac{{\rho_{1}}+{\rho_{2}}}{2{\rho_{1}}{\rho_{2}}} $
C) $ \rho =\frac{2{\rho_{1}}{\rho_{2}}}{{\rho_{1}}+{\rho_{2}}} $
D) $ \rho =\frac{{\rho_{1}}{\rho_{2}}}{{\rho_{1}}+{\rho_{2}}} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \rho =\frac{\text{Total mass}}{\text{Total volume }}=\frac{2m}{V_{1}+V_{2}}=\frac{2m}{m,\left( \frac{1}{{\rho_{1}}}+\frac{1}{{\rho_{2}}} \right)} $ $ \rho =\frac{2{\rho_{1}}{\rho_{2}}}{{\rho_{1}}+{\rho_{2}}} $
BETA
