Respuesta :
Answer:
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
[tex]\rho=\dfrac{m}{V}[/tex]
[tex]m_{B}=\rho\times V[/tex]
Put the value into the formula
[tex]m_{B}=0.6\times0.75[/tex]
[tex]m_{B}=0.45\ kg[/tex]
We need to calculate the combine air mass room A and B
Using formula for total mass
[tex]M=m_{A}+m_{B}[/tex]
Put the value into the formula
[tex]M=1+0.45[/tex]
[tex]M=1.45\ Kg[/tex]
We need to calculate the combine air volume room A and B
Using formula for total mass
[tex]V'=V_{A}+V_{B}[/tex]
Put the value into the formula
[tex]V'=0.5+0.75[/tex]
[tex]V'=1.25\ Kg[/tex]
We need to calculate the final density of the air
Using formula of density
[tex]\rho_{a}=\dfrac{M}{V'}[/tex]
Put the value into the formula
[tex]\rho_{a}=\dfrac{1.45}{1.25}[/tex]
[tex]\rho_{a}=1.16\ kg/m^3[/tex]
Hence, The final density of the air is 1.16 kg/m³.
