# Substance A has a density of 3.0g/cm^3 and substance B has a density of 4.0g/cm^3.In order to obtain equal masses of these two substances, the ratio of the volume of A to the volume of B will be...

Substance A has a density of 3.0g/cm^3 and substance B has a density of 4.0g/cm^3.

In order to obtain equal masses of these two substances, the ratio of the volume of A to the volume of B will be equal to

Multiple Choice:

A) 1:3

B) 4:3

C) 3:4

D) 1:4

krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted on

Given:

Density of A = 3.0 g/cm^3

Density of B = 4.0 g/cm^3

Ratio of densities of A and B = 3/4 or 3:4

As density is inversely proportional to volumes for equal mass, ratio of volumes of A and B is given by ratio of inverse of densities.

Thus ratio of densities of A and B = (1/3)/(1/4) or 4:3

Option B0 of the given choices is correct.

neela | High School Teacher | (Level 3) Valedictorian

Posted on

Since the masses of the two substances are equal,

volume of A* density of A = volume of B * density of B, as the mass is the product of volume and density.

Therefore,

The ratio, volume of A/ Volume of B =  density of B/ density of A =  4g per ccm/3 g per ccm =4/3

Volume of A : Volume of B = 4:3  for their masses to be equal.