1.

The densities of two liquids A and B are in the ratio 15 : 2 If their masses are equal, write the following steps in a sequential order to determine the ratio of their volumes.

Answer»

(a) Write the relation between DENSITY, mass and VOLUME for each of the liquid A and B.
(b) Note the ratio of densities,`d_(A)/d_(B)=15/2` and `m_(A)=m_(g)`
Divide the twoequations and get the VOLUMES of the two liquids using `V_(A)/V_(B)=d_(B)/d_(A)`
(d) Substitute the given value in the above formula and find the ratio of `V_(A) to V_(B)`.

Solution :Write the ratio of densities as given, `(d_(A))/(d_(B))=15/2` and the mass of A is equal to mass of B. Write the relation between mass, density and volume for the liquids A and B. Divide the density of A and density of B and get the relation `V_(A)/V_(B)-d_(B)/d_(A)`. Substitute the given ratio of `v_(A) to V_(B)`.


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