Question

A container when is empty weights $50gm$. After certain of density ${25gm/dm}^3$ is filled its mass becomes equal to $100gm$. The volume of the container will be:

• A. $0.25d{m}^3$
• B. $0.5d{m}^3$
• C. $1d{m}^3$
• D. $2d{m}^3$

Answer 1

The correct option is D $2d{m}^3$

The mass of empty container is $50\text{gm}$, and the mass of container after a certain of density is filled is $100\text{gm}$.

$\therefore$ Mass of that substance which is filled $=(100-50)\text{gm}=50\text{gm}$

The given density of the substance filled in container is $25gm/{dm}^3$ ans the mass of that substance is $50gm$.

As we know that,

$\text{density}=\frac{\text{mass}}{\text{volume}}$

$\therefore \text{volume of the container}=\frac{\text{mass}}{\text{density}}=\frac{50}{25}=2d{m}^3$

Hence the volume of the containe is $2{dm}^3$.