A tank has two rooms separated by a membrane. Room A has 1 kg of air and a volume of 0.5 m3; room B has 0.75 m3 of air with density 0.6 kg/m3. The membrane is broken, and the air comes to a uniform state. Find the final density of the air.

The final density of the air is 1.16 kg/m³.

Explanation:

Given that,

Mass of air in room A= 1 kg

Volume of air in room A= 0.5 m³

Volume of air in room B= 0.75 m³

Air density = 0.6 kg/m³

We need to calculate the mass of air in room B

Using formula of density

Put the value into the formula

We need to calculate the combine air mass room A and B

Using formula for total mass

Put the value into the formula

We need to calculate the combine air volume room A and B

Using formula for total mass

Put the value into the formula

We need to calculate the final density of the air

Using formula of density

Put the value into the formula

Hence, The final density of the air is 1.16 kg/m³.