A liquid of mass `m_(1)` and density `rho_(1)` is mixed with another liquid of mass `m_(2)` and density `rho_(2)`. If the volume of the mixture does not change, then what will be the density of the mixture?
Text Solution
Verified by Experts
Mass of the mixture, `m=m_(1)+m_(2)` Volume of the first liquid, `v_(1)=m_(1)/rho_(1)` and volume of the second liquid, `v_(2)=m_(2)/rho_(2)` `therefore` Volume of the mixture, `v=v_(1)+v_(2)=m_(1)/rho_(1)+m_(2)/rho_(2)=(m_(1)rho_(2)+m_(2)rho_(1))/(rho_(1)rho_(2))` `therefore` Density of the mixture, `m/v=((m_(1)+m_(2))rho_(1)rho_(2))/(m_(1)rho_(2)+m_(2)rho_(1))`.
Topper's Solved these Questions
HYDROSTATICS
CHHAYA PUBLICATION|Exercise SECTION RELATED QUESTIONS|12 Videos
HYDROSTATICS
CHHAYA PUBLICATION|Exercise HIGHER ORDER THINKING SKILL (HOTS) QUESTIONS|37 Videos
FRICTION
CHHAYA PUBLICATION|Exercise CBSE SCANNER|7 Videos
KINETIC THEORY OF GASES
CHHAYA PUBLICATION|Exercise CBSE Scanner|9 Videos
Similar Questions
Explore conceptually related problems
The ratio of the densities of three liquids is 1 : 2 : 3. If they are mixed in (i) equal volume, (ii) equal mass, then what will be the densities of their mixtures?
An object weighs m_1 in a liquid of density d_1 and that in liquid of density d_2 " is " m_2 . The density d of the object is
The temperature of three liquids A, B and C are 14^(@)C, 24^(@)C and 34^(@)C respectively. When A and B are mixed in equal masses, the temperature of the mixture becomes 20^(@)C , when B and C are mixed in equal masses, the temperature of the mixture becomes 31^(@)C . If A and C are mixed in equal masses, then what will be the temperature of the mixture?
100 g of water is added to a 100 cc solution of sugar of density 1.5 g/cc. what is the density of the new mixture?
A body of density rho is placed slowly on the surface of a liquid of density delta . If the depth of the liquid is d, then prove that the time taken by the body to reach the bottom of the liquid is [(2drho)/g(rho-delta)]^(1//2) second.
A liquid at 25^(@)C , of specific heat "0.48 cal. G"^(-1).^(@)C^(-1) , is mixed with another liquid at 10^(@)C of specific heat "0.36 cal. g"^(-1).^(@)C . If the final temperature of the mixture is 20^(@)C , find the mass ratio of the two liquid in the mixture.
Volumes of N_(2) and O_(2) in any gas mixture are 80% and 20T respectively. Determine the average vapour density of the gas mixture.
